Method, device, system and medium for determining equivalent storage duration of paper product

Abstract

The application discloses a method, device, system and medium for determining an equivalent storage duration of a paper product. The method comprises: obtaining a first aging duration of a to-be-tested paper product under a first environmental parameter to present first color information, and a second aging duration of the to-be-tested paper product under a second environmental parameter to present the first color information, wherein a first environmental temperature of the first environmental parameter is different from a second environmental temperature of the second environmental parameter; and based on the first activation energy of the to-be-tested paper product being the same when the to-be-tested paper product presents the first color information, calculating a first equivalent storage duration of the to-be-tested paper product under a target environmental parameter to present the first color information according to the Arrhenius formula, the first aging duration, the second aging duration, the first environmental temperature and the second environmental temperature. According to the application, the accuracy of the equivalent storage duration calculated by the application is high.

Description

Technical Field

[0001] This application belongs to the field of data processing and paper product testing technology, and particularly relates to a method, apparatus, system and medium for determining the equivalent storage time of paper products. Background Technology

[0002] Paper products age gradually due to temperature variations during storage. When paper products age to a certain extent, their performance in applications is affected. Related technologies simulate aging experiments on paper products at different ambient temperatures to test their folding endurance, tear resistance, and degree of polymerization after storage for varying periods, thereby determining the acceptable shelf life of the paper products. However, the aging durations at different ambient temperatures in these technologies are based on experience and cannot accurately provide the equivalent storage time corresponding to the aging duration. Summary of the Invention

[0003] This application provides a method, apparatus, system, and medium for determining the equivalent storage time of paper products, which can improve the accuracy of the equivalent storage time corresponding to the aging time.

[0004] In a first aspect, embodiments of this application provide a method for determining the equivalent storage time of a paper product, the method comprising:

[0005] The first aging time of the paper product under test is obtained until it presents the first color information under the first environmental parameter, and the second aging time of the paper product under the second environmental parameter is obtained until it presents the first color information under the second environmental parameter. The first environmental temperature of the first environmental parameter is different from the second environmental temperature of the second environmental parameter.

[0006] Based on the fact that the first activation energy is the same when the paper product to be tested presents the first color information, the first equivalent storage time of the paper product to be tested until it presents the first color information is calculated according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

[0007] In some embodiments, based on the fact that the first activation energy is the same when the paper product to be tested exhibits the first color information, the first equivalent storage time for the paper product to be tested to exhibit the first color information is calculated according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature, and the second ambient temperature, including:

[0008] Based on the fact that the first activation energy is the same when the paper product to be tested presents the first color information, the first activation energy when the paper product to be tested presents the first color information is calculated according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

[0009] Based on the Arrhenius formula and the first activation energy, the first equivalent storage time for the paper product under test to be stored under the target environmental parameters until the first color information is presented is calculated.

[0010] In some embodiments, the determining method further includes:

[0011] Acquire multiple first aging times, and color information corresponding to each first aging time of the paper product under the first environmental parameter;

[0012] Construct multiple first aging durations, each corresponding to a first equivalent storage duration;

[0013] Based on the target storage duration, at least three third aging durations in the same aging stage are selected from multiple first aging durations. The aging speeds corresponding to the at least three third aging durations are the same. The first equivalent storage durations corresponding to the at least three third aging durations have a minimum equivalent storage duration and a maximum equivalent storage duration. The target storage duration is greater than the minimum equivalent storage duration and less than the maximum equivalent storage duration.

[0014] Based on the color information corresponding to at least three third aging times, determine the color information of the paper product under test stored under target environmental parameters for the target storage time.

[0015] In some embodiments, after obtaining multiple first aging times and color information corresponding to each first aging time of the paper product under test under first environmental parameters, the process includes:

[0016] Based on the color information corresponding to each first aging time, an aging model for the paper product under test is constructed. The aging model is used to characterize the mapping relationship between the aging time and color information of the paper product under test under the first environmental parameters. The aging model includes multiple aging stages connected in chronological order. Paper products under test in the same aging stage have the same aging rate.

[0017] In some embodiments, the color information of the paper product under test, stored under target environmental parameters for a target storage time, is determined based on color information corresponding to at least three third aging durations, including:

[0018] The fourth aging time is calculated based on the target storage time and the first equivalent storage time corresponding to at least three third aging times. The fourth aging time of the paper product under the first environmental parameters is equivalent to the paper product under the target environmental parameters being stored for the target storage time.

[0019] Determine the color information corresponding to the fourth aging time on the linear regression line, and set the color information corresponding to the fourth aging time as the color information of the paper product under test stored under the target environmental parameters for the target storage time.

[0020] In some embodiments, based on the target storage duration, at least three third aging durations that are in the same aging stage are selected from a plurality of first aging durations, including:

[0021] Based on multiple first aging times and the color information corresponding to each first aging time, calculate the aging rate corresponding to each first aging time;

[0022] Based on the target storage duration, select at least three third aging durations with the same aging rate from multiple first aging durations.

[0023] In some embodiments, the color information of the paper product under test, stored under target environmental parameters for a target storage time, is determined based on color information corresponding to at least three third aging durations, including:

[0024] The fourth aging time is calculated based on the target storage time and the first equivalent storage time corresponding to at least three third aging times. The fourth aging time of the paper product under the first environmental parameters is equivalent to the paper product under the target environmental parameters being stored for the target storage time.

[0025] Based on the color information corresponding to at least three third aging durations, construct a first linear regression function for the mapping relationship between the first aging duration and the color information.

[0026] Based on the first linear regression function and the fourth aging time, the color information corresponding to the fourth aging time is calculated. The color information corresponding to the fourth aging time is set as the color information of the paper product under test stored under the target environmental parameters for the target storage time.

[0027] In some embodiments, obtaining the first aging time for the paper product under test to exhibit first color information under a first environmental parameter and the second aging time for it to exhibit first color information under a second environmental parameter includes:

[0028] When the paper product to be tested is aged under the first environmental parameters for the first aging time, the first color information of the paper product to be tested is obtained.

[0029] When the paper product to be tested is aged under the second environmental parameters until it exhibits the first color information, the second aging time is obtained, and the first environmental temperature is greater than the second environmental temperature.

[0030] In some embodiments, when the paper product under test is aged under second environmental parameters until it exhibits first color information, the second aging time is obtained, including:

[0031] When the paper product to be tested is aged under the second environmental parameters for a preset test time, the second color information of the paper product to be tested is obtained, and the preset test time is greater than or equal to the first aging time.

[0032] Extend the preset test duration based on the preset test duration and the second color information;

[0033] When the paper product under test is aged under the second environmental parameters for a preset test time, the third color information of the paper product under test is obtained, and the second color information is updated to the third color information.

[0034] When the second color information is equal to the first color information, the second aging time is set to be equal to the preset test time;

[0035] When the second color information is less than the first color information, perform the following: extend the preset test duration according to the preset test duration and the second color information.

[0036] In some embodiments, extending the preset test duration based on the preset test duration and second color information includes:

[0037] The rate of color change is calculated based on two preset test durations that are adjacent in time sequence and their corresponding second color information.

[0038] Using the rate of color change as the slope, a second linear regression function is constructed for two adjacent preset test durations and their corresponding second color information.

[0039] Based on the second linear regression function, calculate the predicted time to reach the first color information;

[0040] Update the preset test duration to the predicted duration.

[0041] In some embodiments, the first color information is a yellowing value.

[0042] In some embodiments, the first ambient temperature is T1, where 0℃≤T1≤100℃;

[0043] In some embodiments, the second ambient temperature is T2, where 0℃≤T2≤100℃.

[0044] In some embodiments, the first environmental parameter includes a first environmental humidity corresponding to a first environmental temperature, and the second environmental parameter includes a second environmental humidity corresponding to a second environmental temperature. The moisture content of the paper product under test at the first environmental temperature and the first environmental humidity is equal to the moisture content of the paper product under test at the second environmental temperature and the second environmental humidity.

[0045] In some embodiments, the paper product to be tested includes at least one of cellulose, hemicellulose, and lignin.

[0046] Secondly, embodiments of this application provide an aging apparatus, comprising:

[0047] The detection module is used to obtain the first aging time of the paper product under test under the first environmental parameter until it presents the first color information, and the second aging time of the paper product under the second environmental parameter until it presents the first color information. The first environmental parameter has a different first environmental temperature and the second environmental parameter has a different second environmental temperature.

[0048] The first calculation module, based on the fact that the first activation energy is the same when the paper product to be tested presents color information, calculates the first equivalent storage time of the paper product to be tested under the target environmental parameters until it presents the first color information, according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

[0049] Thirdly, embodiments of this application provide an aging system, which includes: a processor and a memory storing computer program instructions; the processor executes the computer program instructions to implement the method for determining the equivalent storage time of paper products as described above.

[0050] Fourthly, embodiments of this application provide a computer storage medium storing computer program instructions, which, when executed by a processor, implement the method for determining the equivalent storage duration of paper products as described above.

[0051] The method, apparatus, system, and medium for determining the equivalent storage time of paper products provided in this application are as follows: In the method for determining the equivalent storage time of paper products provided in this application, based on the fact that the first activation energy is the same when the paper product to be tested presents the first color information, by obtaining the first aging time of the paper product to be tested under the first environmental parameters to present the first color information and the second aging time of the paper product to be tested under the second environmental parameters to present the first color information, the first equivalent storage time of the paper product to be tested stored under the target environmental parameters until the first color information is presented can be calculated based on the Arrhenius formula. The first equivalent storage time can be used to evaluate the environmental parameters and aging time used when aging the paper product to be tested is simulated. Attached Figure Description

[0052] To more clearly illustrate the technical solutions of the embodiments of this application, the drawings used in the embodiments of this application will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0053] Figure 1 This is a flowchart illustrating a method for determining the equivalent storage time of paper products according to an embodiment of this application;

[0054] Figure 2This is a schematic diagram of the aging time-yellowing value curve provided in one embodiment of this application;

[0055] Figure 3 This is a schematic diagram of the aging time-yellowing value curve provided in one embodiment of this application;

[0056] Figure 4 This is a schematic diagram of the aging time-yellowing value curve provided in one embodiment of this application;

[0057] Figure 5 This is a schematic diagram of the aging time-yellowing value curve provided in one embodiment of this application;

[0058] Figure 6 This is a schematic diagram of the aging time-yellowing value curve provided in one embodiment of this application;

[0059] Figure 7 This is a schematic diagram of the structure of an aging device provided in an embodiment of this application;

[0060] Figure 8 This is a schematic diagram of the hardware structure of an aging system provided in an embodiment of this application. Detailed Implementation

[0061] The features and exemplary embodiments of various aspects of this application will be described in detail below. To make the objectives, technical solutions, and advantages of this application clearer, the application will be further described in detail below with reference to the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are only intended to explain this application and not to limit it. For those skilled in the art, this application can be implemented without some of these specific details. The following description of the embodiments is merely to provide a better understanding of this application by illustrating examples of this application.

[0062] It should be noted that, in this document, relational terms such as "second" and "third" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Unless otherwise specified, an element defined by the phrase "comprising..." does not exclude the presence of additional identical elements in the process, method, article, or apparatus that includes the element.

[0063] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. The embodiments will now be described in detail with reference to the accompanying drawings.

[0064] To address the problems of the prior art, embodiments of this application provide a method, apparatus, system, and medium for determining the equivalent storage time of paper products. The method for determining the equivalent storage time of paper products provided in this application embodiment will be described first below.

[0065] Figure 1 A flowchart illustrating a method for determining the equivalent storage time of paper products according to an embodiment of this application is shown. The method includes the following steps:

[0066] S100, acquire the first aging time of the paper product under test aging to the point of presenting the first color information under the first environmental parameter, and the second aging time of the paper product under the second environmental parameter aging to the point of presenting the first color information, wherein the first environmental temperature of the first environmental parameter is different from the second environmental temperature of the second environmental parameter.

[0067] The paper products to be tested are those requiring aging tests. Paper products include, but are not limited to, printing paper, writing paper, art paper, packaging paper, household paper, industrial paper, and molded pulp. Printing paper can include books, magazines, and newspapers. Writing paper can include notebooks, diaries, and memo pads. Packaging paper can include shipping boxes, shopping bags, and product packaging bags. Household paper can include toilet paper, facial tissues, and diapers. Industrial paper can include insulating paper and filter paper.

[0068] The paper product to be tested may include at least one of the components such as cellulose, hemicellulose, and lignin, which exhibit independent yellowing reactions and do not produce autocatalytic reactions. Optionally, the cellulose in the paper product may be arranged neatly to form a fixed region, or it may be arranged loosely and disorderedly as an amorphous region. Optionally, the paper product to be tested may include the fixed region of cellulose, the amorphous region of cellulose, hemicellulose, and lignin. Because the yellowing rates of the components in the paper product to be tested are inconsistent, the yellowing rates corresponding to different aging times may be inconsistent, and the activation energies corresponding to different aging times of the paper product to be tested are also inconsistent. Therefore, it is impossible to use a single component and yellowing-related parameters in the paper product as a detection index or a single function to characterize the entire aging process of the paper product to be tested.

[0069] The aging test performed on the paper product under test can be either an accelerated aging test or a decelerated aging test. In an accelerated aging test, the paper product is placed at an ambient temperature higher than the target storage temperature to increase the aging rate. In a decelerated aging test, the paper product is placed at an ambient temperature lower than the target storage temperature to decrease the aging rate. For ease of description, unless otherwise specified, the following description will refer to accelerated aging tests.

[0070] In this application, the paper product to be tested is placed in an ambient temperature higher than the target storage temperature to accelerate its aging. This accelerates the aging of the paper product at the provided ambient temperature, which is equivalent to normal aging at the target storage temperature, thereby shortening the testing time for the aging degree of the paper product. Optionally, the paper product to be tested is placed in an aging chamber for accelerated aging. The aging chamber operates according to the set parameters to ensure that the paper product to be tested is under the required environmental parameters for accelerated aging. The degree of yellowing of the paper product to be tested can be characterized by color information, which reflects the color change of the paper product to be tested. The color information can be whiteness, yellowing value, etc., detected under white light, or color value detected under a specific wavelength of colored light. Whiteness and yellowing value can be converted using equation (1):

[0071]

[0072] Where PC is the yellowing value, R ∞0 R is the initial whiteness obtained by testing the paper product before conducting aging experiments. ∞1 The whiteness of the paper product being tested is the result of an aging experiment.

[0073] For ease of description, unless otherwise specified, the color information below refers to the yellowing value.

[0074] Environmental parameters include at least ambient temperature, and may include, but are not limited to, ambient humidity, ambient air pressure, and light intensity. The first and second environmental parameters may differ only in ambient temperature, thus using ambient temperature as a variable to determine different aging times required to obtain the same color information. Alternatively, the first and second environmental parameters may differ in other than ambient temperature, thus using multiple environmental parameters as variables to determine different aging times required to obtain the same color information.

[0075] When the paper product under test is subjected to accelerated aging under a first environmental parameter for a first aging time, the paper product is tested to obtain the first color information. When the paper product under test is subjected to accelerated aging under a second environmental parameter for a second aging time, the paper product is tested again to obtain the first color information. That is, the aging time required for the paper product to reach the same degree of yellowing under different environmental parameters varies, and the yellowing rate also varies. Since the higher the ambient temperature of the paper product, the greater the yellowing rate, the aging time corresponding to the higher ambient temperature to reach the same degree of yellowing is less than the aging time corresponding to the lower ambient temperature. For example, if the first ambient temperature is 75℃ and the second ambient temperature is 65℃, the first aging time required for the paper product to reach the same color information is less than the second aging time required.

[0076] S200, based on the fact that the first activation energy is the same when the paper product to be tested presents the first color information, according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature, the first equivalent storage time of the paper product to be tested until it presents the first color information is calculated.

[0077] According to the Kubelka-Monk equation, the degree of change in the color information of paper products is directly proportional to the amount of color-producing substances they produce. In the early stages of paper product aging, all components of the paper product are undergoing yellowing aging, so the production of color-producing substances is the sum of the production of color-producing substances in each component. For example, the yellowing value detected after paper product aging can be expressed as equation (2):

[0078]

[0079] Where i is equivalent to the number of components in the paper product, and Q i The color-producing substance is generated by the i-th component. The order of the components in the paper product is not important. The paper product shown in Equation (2) includes at least cellulose (fixed region), cellulose (amorphous region), hemicellulose, hemicellulose and other additives.

[0080] As aging time increases, components in paper products that age faster or are present in smaller quantities will gradually complete aging and be consumed. The remaining components, without causing accelerated reactions, gradually reduce the overall amount of color-producing substances produced. Therefore, the rate of yellowing in paper products gradually decreases. In other words, throughout the entire aging lifespan, the yellowing value of paper products continuously increases, with the rate of change initially rapid and then slowing down. Please refer to [link / reference]. Figure 2The curve shown represents the change in the yellowing value of paper products with aging time. The slope of the curve represents the yellowing rate of the paper products. The applicant found that, except for the final stage of aging, the slope of the curve decreases with increasing aging time, indicating that, except for the final stage of aging, the rate of change in the yellowing value is initially rapid and then slows down. In the final stage of aging, the alkaline substances in the paper products are neutralized by the free acids produced by cellulose and hemicellulose in the paper products. The accumulation of free acids leads to a rapid decrease in the pH of the paper products, and the slope of the curve increases with increasing aging time. However, the large-scale hydrolysis of cellulose will cause the structure of the paper products to collapse, making it unable to support its original function. Reaching this aging stage requires a long aging time, and this aging stage is far from the normal service life of the paper products. Therefore, the determination method provided in this application can disregard this stage.

[0081] Yellowing of paper products is mainly due to the hydrolysis and oxidation of their components, producing color-producing substances. As a porous and loosely structured solid, the rate of hydrolysis in paper is primarily related to its specific surface area in contact with water, the proportions of its components, and its pH level. These properties are relatively stable over a period of time. That is, during the entire aging process of paper products, only significant changes in these properties will lead to a corresponding change in the yellowing rate. These significant changes include, but are not limited to, changes in the paper's composition, internal structure, and pH level. Changes in composition can occur when a component has completely aged. Changes in internal structure can occur when cellulose, which acts as a framework, undergoes large-scale hydrolysis and aging. Changes in pH can occur when free acids are generated during the aging process of cellulose and hemicellulose, affecting the pH level.

[0082] Therefore, the yellowing rate of paper products can be divided into multiple successive aging stages. Within any aging stage, the yellowing rate can be considered constant, meaning that the color information and aging time have a linear relationship. Please refer to [link / reference]. Figure 3 The curves shown represent the change in yellowing value of paper products with aging time, with adjacent dashed lines representing one aging stage. The applicant discovered that the time point from any aging stage to the next is related to the properties of the paper product itself but not to the aging rate; that is, the time point from any aging stage to the next is independent of aging time and ambient temperature. It can be considered that changes in the yellowing rate of paper products aged at different ambient temperatures all occur when specific color information is exhibited.

[0083] The Arrhenius equation describes the effect of temperature on reaction rate or material aging. Experiments have shown that when a paper product is aged to the same color information at different ambient temperatures (i.e., when the paper product is at the same aging stage at different ambient temperatures), its apparent activation energy is the same. Therefore, the Arrhenius equation can be used to construct the relationship between the aging degree of the paper product and temperature. However, since the paper product may undergo at least one aging stage when detecting color information, the activation energy calculated directly using the Arrhenius equation does not reflect the overall change in temperature across all aging stages. Therefore, in this application, if the first aging time falls within the first aging stage of the paper product, the first activation energy calculated using the Arrhenius equation is the apparent activation energy; if the first aging time falls within other aging stages of the paper product, the first activation energy calculated using the Arrhenius equation is the instantaneous apparent activation energy, which characterizes the activation energy corresponding to the average yellowing rate of the color information change from the start of aging to the detection of color information. Please refer to [link to relevant documentation]. Figure 4 When the first color information is detected, the paper product has already undergone aging stages with yellowing rates of V1 and V2, and is in the aging stage with a yellowing rate of V3. When accelerated aging reaches the aging time corresponding to the first color information, the first activation energy is the instantaneous apparent activation energy characterizing the presentation of the first color information.

[0084] For example, the following function can be constructed based on the Arrhenius formula:

[0085]

[0086] Wherein, k1 is the aging rate of the paper product under the first environmental parameter, k2 is the aging rate of the paper product under the second environmental parameter, T1 is the first environmental temperature, T2 is the second environmental temperature, Ea is the first activation energy, and R is the molar gas constant.

[0087] Since k1 is inversely proportional to t1 and k2 is inversely proportional to t2, combining equations (3) and (4) yields equation (5):

[0088]

[0089] The target environmental parameters are the environmental parameters of the paper product under test in the actual storage environment. Given the first activation energy and the target environmental temperature of the target environmental parameters, the mapping relationship between the first equivalent storage time t3 and the first aging time t1, or the mapping relationship between the second equivalent storage time t2 and the first aging time t1, can be calculated. That is, aging the paper product under the first environmental parameters for the first aging time is equivalent to storing the paper product under the target environmental parameters for the first equivalent storage time; aging the paper product under the second environmental parameters for the second aging time is equivalent to storing the paper product under the target environmental parameters for the first equivalent storage time.

[0090] This first equivalent storage duration allows users to know the equivalent duration of aging testing to store the paper product under test in the target environment until it displays the same color information. This first equivalent storage duration can also be used to evaluate the first ambient temperature, the first aging duration, and / or the second ambient temperature and the second aging duration, generating an evaluation report to determine whether the first ambient temperature, the first aging duration, the second ambient temperature, and the second aging duration are set appropriately.

[0091] In the method for determining the equivalent storage time of paper products provided in this application, based on the fact that the first activation energy is the same when the paper product to be tested presents the first color information, by obtaining the first aging time of the paper product to be tested under the first environmental parameter to present the first color information and the second aging time of the paper product to be tested under the second environmental parameter to present the first color information, the first equivalent storage time of the paper product to be tested under the target environmental parameter to present the first color information can be calculated based on the Arrhenius formula. The first equivalent storage time can be used to evaluate the environmental parameters and aging time used when aging the paper product to be tested is simulated.

[0092] In some embodiments, it can be seen from formulas (3), (4), and (5) that the first activation energy does not need to be calculated, and the first equivalent storage duration can be obtained by combining the formulas.

[0093] In other embodiments, S200 includes:

[0094] S210, based on the fact that the first activation energy is the same when the paper product to be tested presents the first color information, the first activation energy when the paper product to be tested presents the first color information is calculated according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

[0095] S220, based on the Arrhenius formula and the first activation energy, calculates the first equivalent storage time for the paper product under test to be stored under the target environmental parameters until it presents the first color information.

[0096] By first calculating the first activation energy when the paper product to be tested presents the first color information, the first equivalent storage time of the paper product to be tested until it presents the first color information can be calculated based on the Arrhenius formula and the first activation energy.

[0097] In some embodiments, the determining method further includes:

[0098] S400: Acquire multiple first aging times and color information corresponding to each first aging time of the paper product under test under first environmental parameters.

[0099] S500, constructs multiple first aging durations corresponding to the first equivalent storage duration;

[0100] Multiple initial aging times can be set. At each aging time, the paper product to be tested is tested to obtain the corresponding color information.

[0101] Steps S100 to S200 can be repeated, with a different value set for the first aging time in each repetition. This yields the color information of the paper product after aging for multiple first aging times, thus obtaining the color information corresponding to multiple first aging times. Based on each color information, the second aging time for each color information after aging under second environmental parameters is then obtained, yielding the color information corresponding to multiple second aging times. The first equivalent storage time corresponding to each first aging time is calculated using the Arrhenius formula, thus constructing the first equivalent storage time corresponding to multiple first aging times.

[0102] S600, based on the target storage duration, select at least 3 third aging durations that are in the same aging stage from multiple first aging durations, the aging speeds corresponding to the at least 3 third aging durations are the same, the first equivalent storage durations corresponding to the at least 3 third aging durations have a minimum equivalent storage duration and a maximum equivalent storage duration, the target storage duration is greater than the minimum equivalent storage duration and less than the maximum equivalent storage duration;

[0103] S700 determines the color information of the paper product under test after being stored for a target storage time under target environmental parameters, based on the color information corresponding to at least three third aging times.

[0104] Multiple first aging times include third aging times. As mentioned above, the yellowing rate of paper products can be divided into multiple successive aging stages. The yellowing rate is constant in the same aging stage. Therefore, the aging rates corresponding to at least three selected third aging times are the same, indicating that the paper products under test are in the same aging stage after at least three selected third aging times.

[0105] The maximum equivalent storage time is set as the maximum value among the first equivalent storage times corresponding to at least three third aging times, and the minimum equivalent storage time is set as the minimum equivalent storage time. If the target storage time is between the minimum and maximum equivalent storage times, it means that the paper product under test is in the same aging stage when it ages to the first aging time equivalent to the target storage time, and when it passes through the selected at least three third aging times, and the aging rate is the same.

[0106] The target storage time is a pre-set duration for which the paper product to be tested needs to be stored under target environmental parameters. Aging rates are the same, meaning the rate of change in yellowing value is the same. Therefore, by using the color information corresponding to at least three third aging times, the color information exhibited by the paper product to be tested at the first aging time corresponding to the target storage time under the first environmental parameters can be calculated. This color information can be used to determine whether the paper product to be tested should be stored in the target storage environment until the yellowing state reaches the target storage time, thus determining whether this yellowing state meets product quality requirements.

[0107] Please see Figure 5 For example, among multiple first aging times, the aging time corresponding to the first test point is selected as 72h, the aging time corresponding to the second test point is 170h, the aging time corresponding to the third test point is 200h, and the aging time corresponding to the fourth test point is 230h. The aging rate calculated for the paper product under the first environmental parameters after aging for 170h, 200h, and 230h is the same. The first equivalent storage time corresponding to the aging time of 170h is 610 days, the first equivalent storage time corresponding to the aging time of 200h is 695 days, and the first equivalent storage time corresponding to the aging time of 230h is 780 days. Therefore, among the first equivalent storage times corresponding to the aging times of 170h, 200h, and 230h, the minimum equivalent storage time is 610 days, and the maximum equivalent storage time is 780 days. When the target storage time is 730 days, 730 days > 610 days, and 730 days < 780 days. Therefore, we can select three third aging times: 170h for the second test point, 200h for the third test point, and 230h for the fourth test point.

[0108] In other embodiments, an estimated aging time range approximately equivalent to the target storage time can be determined based on the first equivalent storage time of the paper product under the target environmental parameters until the first color information is presented. The paper product under the test is aged to the estimated aging time range under the first environmental parameters. By repeatedly testing the color information within the estimated aging time range, a first aging time equivalent to the target storage time can be found.

[0109] In some embodiments, S400 includes the following:

[0110] Based on the color information corresponding to each first aging time, an aging model for the paper product under test is constructed. The aging model is used to characterize the mapping relationship between the aging time and color information of the paper product under test under the first environmental parameters. The aging model includes multiple aging stages connected in chronological order. Paper products under test in the same aging stage have the same aging rate.

[0111] As described above, the yellowing rate of paper products can be divided into several successive aging stages. Once sufficient first aging durations and corresponding color information for each first aging duration are obtained, an aging model can be constructed for the paper product under test. This model allows for the lookup of color information corresponding to any aging duration.

[0112] Optionally, the aging model is a line graph in the coordinate graph used to represent the mapping relationship between aging time and color information, where any straight line in the line graph corresponds to an aging stage.

[0113] Optionally, the aging model can be multiple linear functions, with each aging stage corresponding to a linear function.

[0114] In some embodiments, S600 includes:

[0115] S610, plot coordinate points on a preset coordinate graph for multiple first aging times and color information corresponding to each first aging time;

[0116] S620, construct a linear regression line about multiple coordinate points;

[0117] S630, based on the target storage duration, select at least 3 third aging durations from the first aging durations corresponding to multiple coordinate points located on the same linear regression line.

[0118] The preset coordinate graph can be a two-dimensional graph with the first aging time on the horizontal axis and the yellowing value on the vertical axis; or it can be a two-dimensional graph with the yellowing value on the horizontal axis and the first aging time on the vertical axis. A coordinate point has both horizontal and vertical coordinates, which correspond to the first aging time and color information. For example... Figure 5 As shown, the first aging time is 72h, and the yellowing value PC11 is detected. The coordinates of the first test point are marked as (72h, PC11) in the preset coordinate diagram.

[0119] Once a first aging time is reached, the yellowing value of the paper product to be tested is detected, thereby obtaining the corresponding first aging time and yellowing value. Based on multiple corresponding first aging times and yellowing values, multiple coordinate points can be plotted on a preset coordinate graph.

[0120] A linear regression line is constructed for multiple coordinate points. This linear regression line can characterize the interdependence between the variables of first aging duration and yellowing value. As the previous analysis shows, the aging rate is different in different aging stages. Therefore, when multiple first aging durations are distributed across at least two aging stages, at least two linear regression lines will be obtained, with each linear regression line corresponding to one aging stage.

[0121] When selecting any two coordinate points from multiple coordinate points, if the inflection points of different aging stages lie between these two points, the slope of the straight line drawn from these two points cannot reflect the aging rate corresponding to the first aging time at those two points. Therefore, a straight line is determined using at least three coordinate points. Among the first aging times corresponding to multiple coordinate points located on the same linear regression line, at least three third aging times are selected to ensure that at least three third aging times lie on a linear regression line with the same slope, meaning that the aging rates corresponding to at least three third aging times are consistent. Similarly, the first equivalent storage time corresponding to the selected third aging times is calculated. By using the minimum and maximum equivalent storage times obtained from the calculated first equivalent storage times, it is determined whether the target storage time is greater than the minimum equivalent storage time and less than the maximum equivalent storage time.

[0122] By plotting coordinate points on a preset coordinate graph and constructing a linear regression line for multiple coordinate points, at least three third aging durations can be selected visually.

[0123] In some embodiments, S700 includes:

[0124] S710, calculate the fourth aging time based on the target storage time and the first equivalent storage time corresponding to at least 3 third aging times. The fourth aging time of the paper product under the first environmental parameters is equivalent to the paper product under the target environmental parameters being stored for the target storage time.

[0125] S720, determine the color information corresponding to the fourth aging time on the linear regression line, and set the color information corresponding to the fourth aging time as the color information of the paper product under test stored under the target environmental parameters for the target storage time.

[0126] When it's impossible to quickly detect the color information of the paper product under test, it's difficult to determine an accurate first aging time. After aging the paper product under the first environmental parameters for the determined first aging time, the color information of the paper product is detected, and the first storage time calculated based on this color information is exactly equal to the target storage time. Therefore, by utilizing the principle that the aging rate remains consistent within the same aging stage, a fourth aging time equivalent to the target storage time can be calculated using at least three first equivalent storage times corresponding to third aging times.

[0127] In S720, the color information corresponding to the fourth aging time on the linear regression line can be queried through a preset coordinate graph. This color information is the color information of the paper product under test stored under the target environmental parameters for the target storage time.

[0128] In other embodiments, S600 includes:

[0129] S640, calculates the aging rate corresponding to each first aging time based on multiple first aging times and the color information corresponding to each first aging time;

[0130] S650 selects at least three third aging times with the same aging rate from a plurality of first aging times, based on the target storage duration.

[0131] The aging rate k1 of each paper product under test when it reaches the first aging time can also be obtained through the aforementioned equations (3) and (4). Based on the calculated aging rate k1, a third aging time with the same aging rate k1 is selected. Similarly, the first equivalent storage time corresponding to the selected third aging time is calculated. The minimum and maximum equivalent storage times of the calculated first equivalent storage time are used to determine whether the target storage time is between the minimum and maximum equivalent storage times.

[0132] In some embodiments, S700 includes:

[0133] S740, calculate the fourth aging time based on the target storage time and the first equivalent storage time corresponding to at least 3 third aging times. The fourth aging time of the paper product under the first environmental parameters is equivalent to the paper product under the target environmental parameters being stored for the target storage time.

[0134] S750, based on the color information corresponding to at least three third aging times, construct a first linear regression function for the mapping relationship between the first aging time and the color information;

[0135] S760, based on the first linear regression function and the fourth aging time, calculates the color information corresponding to the fourth aging time, and sets the color information corresponding to the fourth aging time as the color information of the paper product under test stored under the target environmental parameters for the target storage time.

[0136] A linear regression function of aging time-yellowing value can be constructed using color information corresponding to at least three third aging times. At least three third aging times and the corresponding yellowing values ​​conform to the linear regression function. Based on the linear regression function, the color information of the paper product under test stored under target environmental parameters for the target storage time can be calculated.

[0137] For example, if the shelf life of the paper product to be tested is 2 years when stored under the target environmental parameters, then the target storage time can be set to 2 years.

[0138] The yellowing value obtained after the third aging time of 170h was 5, after the third aging time of 200h was 5.5, and after the third aging time of 230h was 6. The aging rate of the paper product under the first environmental parameters was the same after aging for 170h, 200h, and 230h. In the coordinate graph of aging time versus yellowing value, (170, 5), (200, 5.5), and (230, 6) can be linearly regressed to the same straight line.

[0139] The first equivalent storage duration corresponding to the third aging duration of 170h is 610 days, the first equivalent storage duration corresponding to the third aging duration of 200h is 695 days, and the first equivalent storage duration corresponding to the third aging duration of 230h is 780 days. Therefore, the target storage duration is 2 years (equivalent to 730 days). The target storage duration is longer than the minimum equivalent storage duration of 695 days and shorter than the maximum equivalent storage duration of 780 days.

[0140] The function constructed based on (170, 5), (200, 5.5), and (230, 6) is PC = 0.0167 * t1 + 2.1667. Substituting the fourth aging time of 212.35 h, which is equivalent to 730 h, we calculate that when t1 is 212.35 h, the corresponding color information is 5.71.

[0141] Since the detection of yellowing values ​​requires a certain amount of time, a relatively small initial aging time can be set when setting the color information for the first test. This ensures that the equivalent storage time corresponding to this smaller initial aging time is less than the target storage time. If the equivalent storage time corresponding to the initial aging time is less than the target storage time, it indicates that aging the paper product to the initial aging time cannot simulate the aging condition of the paper product stored to the target storage time. Therefore, the aging time needs to be extended beyond the initial aging time until the aging time of the paper product can simulate the aging condition of the paper product stored to the target storage time.

[0142] When it is necessary to remove the paper samples from the aging chamber for colorimetric information testing, multiple paper samples can be placed in the same aging chamber simultaneously, so that they are under the same environmental parameters. When colorimetric information testing is required, some of the paper samples are removed for testing, while the remaining paper samples continue to age in the aging chamber, thus ensuring that the paper samples being tested are continuously aged.

[0143] The smaller the difference between the first equivalent storage time and the target storage time, the closer the set first aging time is to the aging time equivalent to the target storage time. During the experiment on the paper product under test, the data used to construct the first mapping relationship can be obtained sequentially along time, experiencing the maximum value among multiple first aging times, thus acquiring the color information corresponding to multiple first aging times. Specifically, after obtaining the color information, the next first aging time can be determined based on the first equivalent storage time equivalent to the first aging time corresponding to that color information. The closer the first aging time is to the aging time equivalent to the target storage time, the smaller the interval between the current first aging time and the next first aging time.

[0144] For example: Please refer to Figure 5 After aging for 72 hours, a portion of the paper samples was taken out for the first test, yielding color information PC1. After aging for 170 hours, a portion of the paper samples was taken out for the second test, yielding color information PC2. After aging for 200 hours, a portion of the paper samples was taken out for the third test, yielding color information PC3. After aging for 230 hours, a portion of the paper samples was taken out for the fourth test, yielding color information PC3. Since the first equivalent time of 230 hours is greater than the target storage time, it indicates that the tested aging time covers the target storage time. Therefore, the experiment can be stopped, or a fifth test can be conducted. The first aging time corresponding to the second test can be determined based on the color information PC1, or it can be determined based on the first equivalent time equivalent to the first aging time corresponding to the first test.

[0145] In some embodiments, the target storage duration is a numerical value, which may be the same as the shelf life of the paper product being tested. In another embodiment, the target storage duration is a numerical range, where the minimum value in the range is the same as the shelf life of the paper product being tested. Optionally, when the shelf life of the paper product being tested is X, the target storage duration is [x, a*x], where a is 1.2 to 1.5.

[0146] In some embodiments, S100 includes:

[0147] S110, when the paper product to be tested is aged under the first environmental parameters for the first aging time, the first color information of the paper product to be tested is obtained;

[0148] S120, when the paper product to be tested is aged under the second environmental parameter until it presents the first color information, the second aging time is obtained, and the first environmental temperature in the first environmental parameter is greater than the second environmental temperature in the second environmental parameter.

[0149] During aging tests, multiple identical paper products can be aged simultaneously under the first environmental parameter and simultaneously aged under the second environmental parameter to reduce the time required for the entire aging test.

[0150] Because the first ambient temperature is higher than the second ambient temperature, when the paper product ages to the first color information at the first ambient temperature, it has not yet aged to the first color information at the second ambient temperature. Therefore, when the paper product is detected to have aged to the first color information at the first ambient temperature, multiple tests can be performed on the paper product under the second environmental parameters to obtain the second aging time corresponding to when the paper product ages to the first color information under the second environmental parameters.

[0151] In some embodiments, S120 includes:

[0152] S121, when the paper product to be tested is aged under the second environmental parameters for a preset test time, the second color information of the paper product to be tested is obtained, and the preset test time is greater than or equal to the first aging time.

[0153] S122, based on the preset test duration and the second color information, extend the preset test duration;

[0154] S123, when the paper product to be tested is aged under the second environmental parameters for a preset test time, the third color information of the paper product to be tested is obtained, and the second color information is updated to the third color information.

[0155] S124, when the second color information is equal to the first color information, set the second aging time to be equal to the preset test time;

[0156] S125, when the second color information is less than the first color information, execute: S122.

[0157] Because the first ambient temperature is higher than the second ambient temperature, when the paper product ages to the first color information at the first ambient temperature, it has not yet aged to the first color information at the second ambient temperature. Those skilled in the art can set a preset test duration equal to the first aging duration, meaning that when testing the paper product aged under the first environmental parameter, the paper product aged under the second environmental parameter is also tested. Those skilled in the art can also set a preset test duration longer than the first aging duration, meaning that after testing the paper product aged under the first environmental parameter, the paper product aged under the second environmental parameter is tested. When setting a preset test duration longer than the first aging duration, the specific value of the preset test duration can be determined based on the historical aging data of the paper product to avoid the paper product aged under the second environmental parameter having already passed the period for displaying the first color information during the preset test duration of the aging process, resulting in the second color information being greater than the first color information, thus missing the opportunity to detect the color information at the second aging duration.

[0158] Aging under the second environmental parameter for a preset test time t P1 The second color information PC was obtained from the testing of the paper product to be tested. P1 Then, the preset test duration is updated, resulting in a longer preset test duration t. P2 ; Execution: S121, the paper product under test aged under the second environmental parameter reaches the preset test time t. P2 At that time, the second color information PC was obtained from the testing of the paper product. P2 Then, the preset test duration is updated, resulting in a longer preset test duration t. P3 Repeat this process multiple times until the second color information PC is reached. Pn When the second aging time is equal to the first color information, the second aging time is set to be equal to the second color information PC. Pn The corresponding preset test duration, where n is the number of tests conducted on the paper product under aging conditions in the second environmental parameter.

[0159] In some embodiments, S121 is followed by:

[0160] When the second color information is greater than the first color information, shorten the preset test duration and execute S121;

[0161] When the second color information is less than the color information, execute: S122.

[0162] When the second color information is equal to the first color information, set the second aging time to be equal to the preset test time.

[0163] If the second colorimetric information is greater than the first colorimetric information, it indicates that the preset test duration is inappropriate and needs to be reset. If the second colorimetric information is less than the first colorimetric information, it indicates that the preset test duration is some distance from the second aging duration and needs to be extended so that the updated preset test duration is closer to the desired second aging duration.

[0164] In some embodiments, S122 includes:

[0165] S1221, calculate the color change rate based on two preset test durations that are adjacent in time sequence and their corresponding second color information;

[0166] S1222, using the rate of color change as the slope, construct a second linear regression function about two adjacent preset test durations and their corresponding second color information;

[0167] S1223, Calculate the predicted time to reach the first color information based on the second linear regression function;

[0168] S1224, Update the preset test duration to the predicted duration.

[0169] After obtaining the first color information, without establishing a mapping relationship between the first aging time and the second aging time, it is impossible to calculate the specific aging time for the paper product under test to age under the second environmental parameters until it exhibits the first color information through a function. This application provides S1221 to S1224 to determine the value of the preset test duration, thereby reducing the number of tests on the paper product under test.

[0170] The rate of color change can be calculated using the following formula (6).

[0171] V = PC test / t test Equation (6)

[0172] Where V is the rate of color change, PC test For the second color information, t test Set the preset test duration.

[0173] The second linear regression function is y = a*x + b, where y is the color information, x is the prediction duration, and a is the color change rate V calculated above. This process can also be understood as: Please refer to... Figure 6 Establish a coordinate graph of yellowing value and aging time, and mark the preset test time t in it. test1 and corresponding second color information PC test1 Point A(t2, PC) test1 Draw the origin (0, 0) and point A(t2, PC). test1 The line L connecting the two lines.test1 The connection L test1 The slope of the line L is the rate of color change V1. test1 The corresponding function is represented as PC = V1*t + b. Extend the line L... test1 The connection L is obtained. test1 The intersection point with the function PC = first color information, the aging time corresponding to this intersection point is the preset time, i.e., the updated preset test time. Mark the preset test time t. test12 and corresponding second color information PC test2 Point B(t2, PC) test1 ), do the following: A(t2, PC) test2 ) and point B(t2, PC test2 The line L connecting the two lines. test2 The connection L test2 The slope of the line L is the rate of color change V2. test2 The corresponding function is represented as PC = V² * t + b. Extend the line L... test2 The connection L is obtained. test2 The intersection point with the function PC = first color information, the aging time corresponding to this intersection point is the preset time, that is, the updated preset test time.

[0174] In some embodiments, the first color information is the yellowing value. Compared to the yellowing value, measuring whiteness with an instrument is simpler; however, the whiteness value measured after aging of the paper product is affected by the initial whiteness of the paper product. When using the yellowing value (PC value) as the color information, the yellowing value measured after aging of the paper product is not affected by the initial yellowing value of the paper product, thus improving the accuracy of the calculated value.

[0175] For example, initial whiteness measurements are performed on multiple paper products to be tested to obtain the initial whiteness R of each paper product. ∞0 After aging to the required aging time, samples from multiple paper products to be tested are taken for whiteness measurement to obtain the test whiteness R. ∞1 Then through the initial whiteness R ∞0 And test whiteness R ∞1 Obtain the yellowing value PC of the paper product to be tested after aging for the specified aging time. Optionally, the whiteness test method and yellowing value calculation can refer to GB / T 26459-2011.

[0176] Optionally, the color information is obtained by analyzing images captured in real time by the camera module. Optionally, the color information is obtained by analyzing the emitted light illuminating the paper product under test and the reflected light reflected by the paper product under test.

[0177] In some embodiments, the first ambient temperature is T1, where 0℃≤T1≤100℃.

[0178] In other embodiments, the second ambient temperature is T2, where 0°C ≤ T2 ≤ 100°C.

[0179] The higher the ambient temperature, the faster the paper products age. Excessively high ambient temperatures may affect the pyrolysis temperature of the paper products and the boiling point of water, causing the aging rate of the paper products to no longer conform to the Arrhenius equation. Therefore, by setting 0℃≤T2≤100℃ and 0℃≤T2≤100℃, it is ensured that the aging law of the paper products under test conforms to the Arrhenius equation when aged at either the first ambient temperature T1 or the second ambient temperature T2. Optionally, 5℃≤T1≤90℃. Optionally, 5℃≤T2≤90℃.

[0180] In some embodiments, the first environmental parameter includes a first environmental humidity corresponding to a first environmental temperature, and the second environmental parameter includes a second environmental humidity corresponding to a second environmental temperature. The moisture content of the paper product under test at the first environmental temperature and the first environmental humidity is equal to the moisture content of the paper product under test at the second environmental temperature and the second environmental humidity.

[0181] The moisture content of paper products affects their aging rate. Maintaining consistent moisture content across different ambient temperatures improves the correlation between color information and temperature. According to the principle of hygroscopic equilibrium, when the humidity around a paper product is constant, the moisture content of the paper product and the ambient humidity will reach equilibrium after a period of time. Therefore, adjusting the ambient humidity can regulate the moisture content of the paper product.

[0182] The equilibrium state between moisture content and humidity in paper products differs under different ambient temperatures. Therefore, by setting and querying the first ambient temperature and the corresponding first ambient humidity, and the second ambient temperature and the corresponding second ambient humidity, and then setting the paper product to be tested under the first ambient temperature and first humidity, and then under the second ambient temperature and second humidity, the moisture content of the paper product under the first ambient temperature and first humidity is equal to its moisture content under the second ambient temperature and second humidity. The ambient humidity corresponding to the ambient temperature can be obtained in advance through experimental testing or by querying a pre-constructed moisture absorption equilibrium curve.

[0183] For example, if the target storage environment is 25°C and 50%RH, then according to the moisture absorption balance curve, the ambient humidity corresponding to an ambient temperature of 75°C is 70%RH. Therefore, the operating parameters of the aging chamber are set to 75°C and 70%RH, so that the paper product to be tested in the aging chamber is at 75°C and 70%RH, and its moisture content is equivalent to that at the target storage environment of 25°C and 50%RH.

[0184] Based on the method for determining the equivalent storage time of paper products provided in the above embodiments, this application also provides specific implementation methods of the aging device. Please refer to the following embodiments.

[0185] See Figure 7 The aging apparatus provided in this application includes:

[0186] The detection module 701 acquires the first aging time of the paper product under test under the first environmental parameter until it presents the first color information, and the second aging time of the paper product under the second environmental parameter until it presents the first color information. The first environmental temperature of the first environmental parameter is different from the second environmental temperature of the second environmental parameter.

[0187] The calculation module 702 is used to calculate the first equivalent storage time of the paper product under the target environmental parameters until it presents the first color information, based on the first activation energy when the paper product presents the first color information, according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

[0188] As one implementation of this application, the computing module 702 includes:

[0189] Based on the Arrhenius equation, the first aging time, the second aging time, the first ambient temperature, and the second ambient temperature, the first activation energy when the paper product to be tested exhibits color information is calculated.

[0190] The first calculation unit is used to calculate the first activation energy of the paper product to be tested when it presents the first color information, based on the first activation energy being the same as that of the first color information presented by the paper product to be tested, according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature, and the second ambient temperature.

[0191] The second calculation unit is used to calculate the first equivalent storage time for the paper product under test to present color information under the target environmental parameters, based on the Arrhenius formula and the first activation energy.

[0192] As one implementation of this application, the aging device further includes:

[0193] The first acquisition module is used to acquire multiple first aging times and color information corresponding to each first aging time of the paper product under the first environmental parameters.

[0194] The construction module is used to construct the first equivalent storage duration corresponding to multiple first aging durations;

[0195] The selection module is used to select at least three third aging times that are in the same aging stage from multiple first aging times based on the target storage duration. The aging speeds corresponding to the at least three third aging times are the same. The first equivalent storage times corresponding to the at least three third aging times have a minimum equivalent storage time and a maximum equivalent storage time. The target storage duration is greater than the minimum equivalent storage duration and less than the maximum equivalent storage duration.

[0196] The determination module is used to determine the color information of the paper product under test after being stored for a target storage time under target environmental parameters, based on the color information corresponding to at least three third aging times.

[0197] As one implementation of this application, the selected modules include:

[0198] The first drawing unit is used to draw coordinate points on a preset coordinate graph about multiple first aging times and the color information corresponding to each first aging time.

[0199] The second plotting unit is used to construct a linear regression line about multiple coordinate points;

[0200] The first query unit is used to select at least three third aging durations from the first aging durations corresponding to multiple coordinate points located on the same linear regression line, based on the target storage duration.

[0201] As one implementation of this application, the determined module includes:

[0202] The third calculation unit is used to calculate the fourth aging time based on the target storage time and the first equivalent storage time corresponding to at least three third aging times. The fourth aging time of the paper product under the first environmental parameters is equivalent to the storage of the paper product under the target environmental parameters to the target storage time.

[0203] The first determining unit is used to determine the color information corresponding to the fourth aging time on the linear regression line, and to set the color information corresponding to the fourth aging time as the color information of the paper product to be tested stored under the target environmental parameters for the target storage time.

[0204] As one implementation of this application, the selected modules include:

[0205] The fourth calculation unit calculates the aging rate corresponding to each first aging time based on multiple first aging times and the color information corresponding to each first aging time.

[0206] The second query unit is used to select at least three third aging times with the same aging rate from multiple first aging times based on the target storage duration.

[0207] As one implementation of this application, the determined module includes:

[0208] The fifth calculation unit is used to calculate the fourth aging time based on the target storage time and the first equivalent storage time corresponding to at least three third aging times. The fourth aging time of the paper product under the first environmental parameters is equivalent to the storage of the paper product under the target environmental parameters to the target storage time.

[0209] A construction unit is used to construct a first linear regression function on the mapping relationship between the first aging time and the color information based on the color information corresponding to at least three third aging times.

[0210] The second determining unit is used to calculate the color information corresponding to the fourth aging time based on the first linear regression function and the fourth aging time, and to set the color information corresponding to the fourth aging time as the color information of the paper product to be tested stored under the target environmental parameters for the target storage time.

[0211] As one implementation of this application, the detection module is used to obtain the first color information of the paper product under test when the paper product under test is aged for a first aging time under a first environmental parameter.

[0212] When the paper product to be tested is aged under the second environmental parameters until it exhibits the first color information, the second aging time is obtained, and the first environmental temperature is greater than the second environmental temperature.

[0213] As one implementation of this application, the detection module is used to obtain the second color information of the paper product under test when the paper product under test is aged for a preset test time under the second environmental parameters, and the preset test time is greater than or equal to the first aging time.

[0214] Extend the preset test duration based on the preset test duration and the second color information;

[0215] When the paper product under test is aged under the second environmental parameters for a preset test time, the third color information of the paper product under test is obtained, and the second color information is updated to the third color information.

[0216] When the second color information is equal to the first color information, the second aging time is set to be equal to the preset test time;

[0217] When the second color information is less than the first color information, perform the following: extend the preset test duration according to the preset test duration and the second color information.

[0218] As one implementation of this application, the detection module is used to calculate the color change rate based on two preset test durations that are adjacent in time sequence and their corresponding second color information.

[0219] Using the rate of color change as the slope, a second linear regression function is constructed for two adjacent preset test durations and their corresponding second color information.

[0220] Based on the second linear regression function, calculate the predicted time to reach the first color information;

[0221] Update the preset test duration to the predicted duration.

[0222] As one implementation of this application, the first color information is the yellow return value.

[0223] As one implementation of this application, the first ambient temperature is T1, where 0℃≤T1≤100℃.

[0224] As one implementation of this application, the second ambient temperature is T2, where 0℃≤T2≤100℃.

[0225] As one implementation of this application, the paper product to be tested includes at least one of cellulose, hemicellulose, and lignin.

[0226] As one implementation of this application, the first environmental parameter includes a first environmental humidity corresponding to a first environmental temperature, and the second environmental parameter includes a second environmental humidity corresponding to a second environmental temperature. The moisture content of the paper product to be tested at the first environmental temperature and the first environmental humidity is equal to the moisture content of the paper product to be tested at the second environmental temperature and the second environmental humidity.

[0227] The aging apparatus provided in this embodiment of the invention can implement the steps in the above method embodiments, and will not be repeated here to avoid repetition.

[0228] Figure 8 A schematic diagram of the hardware structure of the aging system provided in an embodiment of this application is shown.

[0229] The aging system may include a processor 1001 and a memory 1002 storing computer program instructions.

[0230] Specifically, the processor 1001 may include a central processing unit (CPU), an application-specific integrated circuit (ASIC), or one or more integrated circuits that can be configured to implement the embodiments of this application.

[0231] Memory 1002 may include mass storage for data or instructions. For example, and not limitingly, memory 1002 may include a hard disk drive (HDD), floppy disk drive, flash memory, optical disk, magneto-optical disk, magnetic tape, or Universal Serial Bus (USB) drive, or a combination of two or more of these. Where appropriate, memory 1002 may include removable or non-removable (or fixed) media. Where appropriate, memory 1002 may be internal or external to an integrated gateway disaster recovery device. In a particular embodiment, memory 1002 is non-volatile solid-state memory. Memory may include read-only memory (ROM), random access memory (RAM), disk storage media devices, optical storage media devices, flash memory devices, electrical, optical, or other physical / tangible memory storage devices. Thus, generally, memory includes one or more tangible (non-transitory) computer-readable storage media (e.g., memory devices) encoded with software including computer-executable instructions, and when the software is executed (e.g., by one or more processors), it is operable to perform the operations described with reference to the methods according to one aspect of this disclosure.

[0232] The processor 1001 reads and executes computer program instructions stored in the memory 1002 to implement the method for determining the equivalent storage time of any paper product in the above embodiments.

[0233] In one example, the aging system may also include a communication interface 1003 and a bus 1010. The processor 1001, memory 1002, and communication interface 1003 are connected via bus 1010 and communicate with each other. Communication interface 1003 is primarily used to enable communication between modules, devices, units, and / or equipment in the embodiments of this application. Bus 1010 includes hardware, software, or both, coupling the components of the aging system together. For example, and not limitingly, the bus may include an Accelerated Graphics Port (AGP) or other graphics bus, an Enhanced Industry Standard Architecture (EISA) bus, a Front Side Bus (FSB), HyperTransport (HT) interconnect, an Industry Standard Architecture (ISA) bus, an Infinite Bandwidth Interconnect, a Low Pin Count (LPC) bus, a memory bus, a Microchannel Architecture (MCA) bus, a Peripheral Component Interconnect (PCI) bus, a PCI-Express (PCI-X) bus, a Serial Advanced Technology Attachment (SATA) bus, a Video Electronics Standards Association Local (VLB) bus, or other suitable buses, or a combination of two or more of these. Where appropriate, bus 1010 may include one or more buses. Although specific buses are described and illustrated in the embodiments of this application, this application considers any suitable bus or interconnection.

[0234] The aging system can be based on the above embodiments to realize the above-described method and apparatus for determining the equivalent storage time of paper products.

[0235] Furthermore, in conjunction with the method for determining the equivalent storage duration of paper products in the above embodiments, this application embodiment can provide a computer storage medium for implementation. This computer storage medium stores computer program instructions; when these computer program instructions are executed by a processor, they implement any of the methods for determining the equivalent storage duration of paper products in the above embodiments and achieve the same technical effect. To avoid repetition, further details are omitted here. The aforementioned computer-readable storage medium may include non-transitory computer-readable storage media, such as read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks, etc., and is not limited thereto.

[0236] In addition, this application also provides a computer program product, including computer program instructions, which, when executed by a processor, can implement the steps and corresponding content of the aforementioned method embodiments.

[0237] It should be clarified that this application is not limited to the specific configurations and processes described above and shown in the figures. For the sake of brevity, detailed descriptions of known methods are omitted here. In the above embodiments, several specific steps are described and shown as examples. However, the method process of this application is not limited to the specific steps described and shown. Those skilled in the art can make various changes, modifications, and additions, or change the order of steps, after understanding the spirit of this application.

[0238] The functional blocks shown in the above block diagram can be implemented as hardware, software, firmware, or a combination thereof. When implemented in hardware, they can be, for example, electronic circuits, application-specific integrated circuits (ASICs), appropriate firmware, plug-ins, function cards, etc. When implemented in software, the elements of this application are programs or code segments used to perform the required tasks. Programs or code segments can be stored on a machine-readable medium or transmitted over a transmission medium or communication link via data signals carried on a carrier wave. "Machine-readable medium" can include any medium capable of storing or transmitting information. Examples of machine-readable media include electronic circuits, semiconductor memory devices, ROM, flash memory, erasable ROM (EROM), floppy disks, CD-ROMs, optical disks, hard disks, fiber optic media, radio frequency (RF) links, etc. Code segments can be downloaded via computer networks such as the Internet, intranets, etc.

[0239] It should also be noted that the exemplary embodiments mentioned in this application describe methods or systems based on a series of steps or apparatus. However, this application is not limited to the order of the above steps; that is, the steps can be performed in the order mentioned in the embodiments, or in a different order, or several steps can be performed simultaneously.

[0240] The foregoing flowcharts and / or block diagrams of methods, apparatuses, and computer program products according to embodiments of the present disclosure have described various aspects of the present disclosure. It should be understood that each block in the flowcharts and / or block diagrams, and combinations of blocks in the flowcharts and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable burn-in apparatus to produce a machine such that these instructions, executable via the processor of the computer or other programmable burn-in apparatus, enable the implementation of the functions / actions specified in one or more blocks of the flowcharts and / or block diagrams. Such a processor can be, but is not limited to, a general-purpose processor, a special-purpose processor, a special application processor, or a field-programmable logic circuit. It is also understood that each block in the block diagrams and / or flowcharts, and combinations of blocks in the block diagrams and / or flowcharts, can also be implemented by special-purpose hardware performing the specified functions or actions, or can be implemented by a combination of special-purpose hardware and computer instructions.

[0241] The above are merely specific embodiments of this application. Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working processes of the systems, modules, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here. It should be understood that the protection scope of this application is not limited thereto. Any person skilled in the art can easily conceive of various equivalent modifications or substitutions within the technical scope disclosed in this application, and these modifications or substitutions should all be covered within the protection scope of this application.

Claims

1. A method for determining the equivalent storage time of paper products, characterized in that, The method includes: The first aging time of the paper product under test is obtained under the first environmental parameter until the first color information is presented, and the second aging time is obtained under the second environmental parameter until the first color information is presented. The first environmental temperature of the first environmental parameter is different from the second environmental temperature of the second environmental parameter. Based on the fact that the first activation energy is the same when the paper product under test presents the first color information, the first equivalent storage time of the paper product under test is calculated under the target environmental parameters until the first color information is presented, according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

2. The method for determining the equivalent storage time of paper products according to claim 1, characterized in that, The first activation energy is the same as that when the paper product under test presents the first color information. Based on the Arrhenius equation, the first aging time, the second aging time, the first ambient temperature, and the second ambient temperature, the first equivalent storage time of the paper product under test until it presents the first color information is calculated, including: Based on the fact that the first activation energy of the paper product under test is the same when it presents the first color information, the first activation energy of the paper product under test when it presents the first color information is calculated according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature. Based on the Arrhenius formula and the first activation energy, the first equivalent storage time for the paper product under test to be stored under target environmental parameters until the first color information is presented is calculated.

3. The method for determining the equivalent storage time of paper products according to claim 1, characterized in that, The determination method further includes: Acquire multiple first aging times and color information corresponding to each first aging time of the paper product under the first environmental parameters; Construct multiple first equivalent storage durations corresponding to the first aging duration; Based on the target storage duration, at least three third aging durations in the same aging stage are selected from the plurality of first aging durations. The aging speeds corresponding to the at least three third aging durations are the same. The first equivalent storage durations corresponding to the at least three third aging durations have a minimum equivalent storage duration and a maximum equivalent storage duration. The target storage duration is greater than the minimum equivalent storage duration and less than the maximum equivalent storage duration. Based on the color information corresponding to the at least three third aging durations, determine the color information of the paper product under test as it is stored under the target environmental parameters for the target storage duration.

4. The method for determining the equivalent storage time of paper products according to claim 3, characterized in that, After acquiring multiple first aging times and the color information corresponding to each of the first aging times under the first environmental parameters for the paper product under test, the process includes: Based on the color information corresponding to each of the first aging durations, an aging model for the paper product under test is constructed. The aging model is used to characterize the mapping relationship between the aging duration and color information of the paper product under test under the first environmental parameters. The aging model includes multiple aging stages connected in chronological order, and the paper products under test have the same aging rate when they are in the same aging stage.

5. The method for determining the equivalent storage time of paper products according to claim 3, characterized in that, The step of selecting at least three third aging times in the same aging stage from the plurality of first aging times based on the target storage duration includes: Plot coordinate points on a preset coordinate graph with respect to multiple first aging times and the color information corresponding to each first aging time; Construct a linear regression line about the plurality of the coordinate points; Based on the target storage duration, at least three of the third aging durations are selected from the first aging durations corresponding to multiple coordinate points located on the same linear regression line.

6. The method for determining the equivalent storage time of paper products according to claim 5, characterized in that, The step of determining the color information of the paper product under test stored under the target environmental parameters for the target storage time based on the color information corresponding to the at least three third aging times includes: The fourth aging time is calculated based on the target storage time and the first equivalent storage time corresponding to the at least three third aging times. The fourth aging time of the paper product to be tested under the first environmental parameters is equivalent to the time the paper product to be tested is stored under the target environmental parameters to the target storage time. The color information corresponding to the fourth aging time on the linear regression line is determined, and the color information corresponding to the fourth aging time is set as the color information of the paper product under test stored under the target environmental parameters for the target storage time.

7. The method for determining the equivalent storage time of paper products according to claim 3, characterized in that, The step of selecting at least three third aging times in the same aging stage from the plurality of first aging times based on the target storage duration includes: Based on the multiple first aging durations and the color information corresponding to each first aging duration, calculate the aging speed corresponding to each first aging duration. Based on the target storage duration, at least three third aging durations with the same aging rate are selected from the plurality of first aging durations.

8. The method for determining the equivalent storage time of paper products according to claim 7, characterized in that, The step of determining the color information of the paper product under test stored under the target environmental parameters for the target storage time based on the color information corresponding to the at least three third aging times includes: The fourth aging time is calculated based on the target storage time and the first equivalent storage time corresponding to the at least three third aging times. The fourth aging time of the paper product to be tested under the first environmental parameters is equivalent to the time the paper product to be tested is stored under the target environmental parameters to the target storage time. Based on the color information corresponding to the at least three third aging durations, a first linear regression function is constructed regarding the mapping relationship between the first aging duration and the color information. Based on the first linear regression function and the fourth aging time, the color information corresponding to the fourth aging time is calculated, and the color information corresponding to the fourth aging time is set as the color information presented by the paper product under the target environmental parameters after being stored for the target storage time.

9. The method for determining the equivalent storage time of paper products according to claim 1, characterized in that, The acquisition of the first aging time for the paper product under test to exhibit the first color information under the first environmental parameters and the second aging time for the paper product under the second environmental parameters to exhibit the first color information includes: When the paper product to be tested is aged under the first environmental parameters for a first aging time, the first color information of the paper product to be tested is obtained. When the paper product to be tested is aged under the second environmental parameters until it exhibits the first color information, the second aging time is obtained, and the first environmental temperature is greater than the second environmental temperature.

10. The method for determining the equivalent storage time of paper products according to claim 9, characterized in that, The step of obtaining the second aging time when the paper product under test is aged under the second environmental parameters until it exhibits the first color information includes: When the paper product to be tested is aged under the second environmental parameters for a preset test duration, the second color information of the paper product to be tested is obtained, wherein the preset test duration is greater than or equal to the first aging duration; Based on the preset test duration and the second color information, the preset test duration is extended; When the paper product under test is aged under the second environmental parameters for the preset test duration, the third color information of the paper product under test is obtained, and the second color information is updated to the third color information. When the second color information is equal to the first color information, the second aging time is set to be equal to the preset test time; When the second color information is less than the first color information, the following steps are performed: extending the preset test duration based on the preset test duration and the second color information.

11. The method for determining the equivalent storage time of paper products according to claim 10, characterized in that, The step of extending the preset test duration based on the preset test duration and the second color information includes: The rate of color change is calculated based on two preset test durations that are adjacent in time sequence and their corresponding second color information. Using the rate of color change as the slope, a second linear regression function is constructed regarding the two adjacent preset test durations and the second color information corresponding to them respectively; Calculate the predicted time to reach the first color information based on the second linear regression function; Update the preset test duration to the predicted duration.

12. The method for determining the equivalent storage time of a paper product according to any one of claims 1 to 11, characterized in that, The first color information is the yellowing value.

13. The method for determining the equivalent storage time of a paper product according to any one of claims 1 to 11, characterized in that, The first ambient temperature is T1, where 0℃≤T1≤100℃; And / or the second ambient temperature is T2, where 0℃≤T2≤100℃.

14. The method for determining the equivalent storage time of a paper product according to any one of claims 1 to 11, characterized in that, The first environmental parameter includes a first environmental humidity corresponding to the first environmental temperature, and the second environmental parameter includes a second environmental humidity corresponding to the second environmental temperature. The moisture content of the paper product to be tested at the first environmental temperature and the first environmental humidity is equal to the moisture content of the paper product to be tested at the second environmental temperature and the second environmental humidity.

15. The method for determining the equivalent storage time of a paper product according to any one of claims 1 to 11, characterized in that, The paper product to be tested includes at least one of cellulose, hemicellulose, and lignin.

16. An aging device, characterized in that, include The detection module is used to acquire the first aging time of the paper product under test under the first environmental parameter until it presents the first color information, and the second aging time of the paper product under the second environmental parameter until it presents the first color information, wherein the first environmental temperature of the first environmental parameter is different from the second environmental temperature of the second environmental parameter. The first calculation module, based on the fact that the first activation energy is the same when the paper product under test presents the color information, calculates the first equivalent storage time of the paper product under test from storage to presentation of the first color information under the target environmental parameters according to the Arrhenius formula, the first aging time, the second aging time, the first ambient temperature and the second ambient temperature.

17. An aging system, characterized in that, The aging system includes: a processor and a memory storing computer program instructions; When the processor executes the computer program instructions, it implements the method for determining the equivalent storage duration of paper products as described in any one of claims 1-15.

18. A computer storage medium, characterized in that, The computer storage medium stores computer program instructions, which, when executed by a processor, implement the method for determining the equivalent storage duration of a paper product as described in any one of claims 1-15.

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