Quantitative evaluation method and system for stress corrosion sensitivity of pipeline steel welded joints

Abstract

The present application belongs to the technical field of stress corrosion cracking test, and specifically discloses a quantitative evaluation method and system for stress corrosion sensitivity of pipeline steel welded joints. Through the present application, the bending test in a hydrogen sulfide environment is combined with the slow strain rate tensile test to obtain the limit value / interval of stress corrosion sensitivity of the welded joint. When the value is greater than / exceeds the interval, the stress corrosion cracking resistance of the welded joint is unqualified, otherwise it is qualified. Before exploring the limit interval, the present application needs to judge whether different processes are qualified through bending tests in a corrosive environment; but after obtaining the limit value / interval, only the slow strain rate tensile test can be used to judge whether the stress corrosion cracking resistance of welded joints of the same material meets the standard, which saves the test time to a great extent; in addition, the method can obtain a quantitative indicator, which can provide direction for the improvement or guidance of the welding process.

Description

Technical Field

[0001] The present application belongs to the technical field of stress corrosion cracking test, and more specifically, to a quantitative evaluation method and system for stress corrosion sensitivity of pipeline steel welded joints. Background Art

[0002] With the growth of the global economy and the acceleration of industrialization, the demand for primary energy such as oil and natural gas is increasing day by day. The long-distance transportation of oil and gas resources usually relies on oil and gas pipelines, but more and more oil and gas resources contain H2S gas. H2S gas is generally not very corrosive, but it is very easy to dissolve in water to form an acidic solution, causing corrosion of pipelines. Various types of oil and gas pipelines are susceptible to slight plastic deformation due to crustal changes, wave scouring, and temperature during service. The combined effect of corrosive media and loads will cause stress corrosion cracking (SSC) in the pipeline. When the corrosive medium is sulfide, this phenomenon is called sulfide stress corrosion cracking (SSCC). The occurrence of stress corrosion cracking will cause cracks in the pipeline and lead to oil and gas leakage, causing serious economic losses and environmental pollution, which seriously restricts the application and development of pipeline steel.

[0003] Welded joints are the most susceptible locations for hydrogen sulfide stress corrosion cracking in pipeline steel. Therefore, in order to quantitatively analyze the hydrogen sulfide stress corrosion cracking resistance and failure mode of pipeline steel, hydrogen sulfide stress corrosion testing and evaluation must be performed on welded joints.

[0004] There are many methods currently used to evaluate the H2S stress corrosion sensitivity of welded joints, such as the four-point bending test and the slow strain rate tensile test. Among them, the four-point bending test is the most commonly used, but it has certain limitations. First, each test takes 720 hours, which is time-consuming; second, the four-point bending test can only determine whether the welded joint's resistance to stress corrosion cracking is qualified by breaking or not, and cannot provide quantitative indicators or improvement guidance for welding processes or materials. The slow strain rate tensile test can obtain a quantitative stress corrosion sensitivity index, but it cannot determine whether the obtained index is qualified. Summary of the invention

[0005] In view of the defects of the prior art, the purpose of this application is to provide a quantitative evaluation method and system for stress corrosion sensitivity of pipeline steel welded joints, aiming to solve the problems that the existing stress corrosion testing methods are time-consuming and have no quantitative indicators.

[0006] To achieve the above objectives, in a first aspect, the present application provides a quantitative evaluation method for stress corrosion sensitivity of pipeline steel welded joints, comprising:

[0007] Respectively obtaining the average values ​​of stress corrosion sensitivity of all samples with the same welding parameters in the first welded joint sample group, wherein the stress corrosion sensitivity values ​​are obtained by a slow strain rate tensile test in air and a slow strain rate tensile test in a corrosive environment of the welded joint;

[0008] The bending test results of all the samples with the same welding parameters in the second weld joint sample group are obtained respectively, where the samples in the first weld joint sample group and the samples in the second weld joint sample group are weld joints with the same base material pipeline steel and the same welding process but different welding parameters;

[0009] By comparing the bending test results under each welding parameter with the corresponding average stress corrosion sensitivity, the stress corrosion sensitivity limit value / range of the same base material pipeline steel welded joints with or without interruption is obtained.

[0010] Preferably, the calculation formula of the stress corrosion sensitivity value is:

[0011]

[0012] Among them, I ψ Indicates stress corrosion sensitivity. The larger the value, the worse the stress corrosion sensitivity of the sample. C Indicates the cross-sectional shrinkage of the welded joint specimen under corrosive environment, ψ A Indicates the cross-sectional shrinkage of the welded joint specimen in air.

[0013] Preferably, the bending test is a four-point bending test or a three-point bending test.

[0014] Preferably, if all samples under a certain welding parameter are not fractured, and microcracks appear in the samples under the previous or next welding parameter, then the average values ​​of the stress corrosion sensitivity corresponding to these two welding parameters constitute the stress corrosion sensitivity limit range.

[0015] Preferably, the method further comprises: observing and analyzing the fracture surface of the slow strain rate tensile test, observing the brittle fracture morphology, cracks or surface pits, and providing a basis for improving the welding process.

[0016] Preferably, the method further comprises:

[0017] For the subsequent new process welding joints of the same base material pipeline steel, it is only necessary to obtain its stress corrosion sensitivity through slow strain rate tensile test and compare it with the obtained limit value or limit range to further determine whether the welding process has sufficient resistance to stress corrosion cracking.

[0018] Preferably, when the stress corrosion cracking resistance of the weld joint is greater than the limit value or exceeds the limit range, the stress corrosion cracking resistance of the weld joint is unqualified, otherwise it is qualified.

[0019] Preferably, the method further comprises: performing magnetic particle testing on the bending specimens without obvious cracks to ensure that no cracks are generated.

[0020] Preferably, the corrosion environment of the slow strain rate tensile test is 1×10 -3 mol / L Na2S2O3+NACE TM 0177A solution.

[0021] To achieve the above objectives, in a second aspect, the present application provides a quantitative evaluation system for stress corrosion sensitivity of pipeline steel welded joints, comprising:

[0022] at least one memory for storing a program;

[0023] At least one processor is used to execute the program stored in the memory. When the program stored in the memory is executed, the processor is used to execute the quantitative evaluation method as described in the first aspect.

[0024] It can be understood that the beneficial effects of the second aspect mentioned above can be found in the relevant description of the first aspect mentioned above, and will not be repeated here.

[0025] In general, the above technical solutions conceived by this application have the following beneficial effects compared with the prior art:

[0026] The present application provides a quantitative evaluation method and system for stress corrosion sensitivity of pipeline steel welded joints, which combines a bending test in a hydrogen sulfide environment with a slow strain rate tensile test to obtain a limit value / interval of stress corrosion sensitivity of the welded joint. When the limit value is greater than / exceeds the interval, the stress corrosion cracking resistance of the welded joint is unqualified, otherwise it is qualified. Before exploring the limit interval, the present application needs to determine whether different processes are qualified through bending tests in a corrosive environment; however, after obtaining the limit value / interval, only a slow strain rate tensile test can be used to determine whether the stress corrosion cracking resistance of welded joints of the same material meets the standard, which saves test time to a great extent; in addition, the method can obtain a quantitative indicator, which can provide direction for the improvement or guidance of welding processes. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] Figure 1 It is a flow chart of a quantitative evaluation method for stress corrosion sensitivity of pipeline steel welded joints provided in an embodiment of the present application.

[0028] Figure 2 It is a schematic diagram of the sampling position and size of the four-point bend specimen in a corrosive environment provided in the embodiment of the present application.

[0029] Figure 3 It is a schematic diagram of a four-point bending fixture provided in an embodiment of the present application.

[0030] Figure 4 Schematic diagram of a sealing box for a four-point bending test in a corrosive environment provided in an embodiment of the present application.

[0031] Figure 5 It is a schematic diagram of the Cortest slow strain rate tensile test device provided in the embodiment of the present application.

[0032] Figure 6 It is a schematic diagram of the sampling position and size of the slow strain rate tensile specimen provided in the embodiment of the present application.

[0033] Figure 7 This is a schematic diagram of the structure of an electronic device provided by this application. DETAILED DESCRIPTION

[0034] In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.

[0035] The term "and / or" in this article is a description of the association relationship of associated objects, indicating that there can be three relationships. For example, A and / or B can represent: A exists alone, A and B exist at the same time, and B exists alone. The symbol " / " in this article indicates that the associated objects are in an or relationship, for example, A / B means A or B.

[0036] The terms "first" and "second" in the specification and claims herein are used to distinguish different objects rather than to describe a specific order of the objects. For example, a first response message and a second response message are used to distinguish different response messages rather than to describe a specific order of the response messages.

[0037] In the embodiments of the present application, words such as "exemplary" or "for example" are used to indicate examples, illustrations or descriptions. Any embodiment or design described as "exemplary" or "for example" in the embodiments of the present application should not be interpreted as being more preferred or more advantageous than other embodiments or designs. Specifically, the use of words such as "exemplary" or "for example" is intended to present related concepts in a specific way.

[0038] In the description of the embodiments of the present application, unless otherwise specified, "multiple" means two or more than two. For example, multiple processing units refer to two or more processing units, etc.; multiple elements refer to two or more elements, etc.

[0039] Next, the technical solutions provided in the embodiments of the present application are introduced.

[0040] like Figure 1As shown, the present application provides a quantitative evaluation method for stress corrosion sensitivity of pipeline steel welded joints, including:

[0041] Respectively obtaining the average values ​​of stress corrosion sensitivity of all samples with the same welding parameters in the first welded joint sample group, wherein the stress corrosion sensitivity values ​​are obtained by a slow strain rate tensile test in air and a slow strain rate tensile test in a corrosive environment of the welded joint;

[0042] The bending test results of all the samples with the same welding parameters in the second weld joint sample group are obtained respectively, where the samples in the first weld joint sample group and the samples in the second weld joint sample group are weld joints with the same base material pipeline steel and the same welding process but different welding parameters;

[0043] By comparing the bending test results under each welding parameter with the corresponding average stress corrosion sensitivity, the stress corrosion sensitivity limit value / range of the same base material pipeline steel welded joints with or without interruption is obtained.

[0044] Preferably, the calculation formula of the stress corrosion sensitivity value is:

[0045]

[0046] Among them, I ψ Indicates stress corrosion sensitivity. The larger the value, the worse the stress corrosion sensitivity of the sample. C Indicates the cross-sectional shrinkage of the welded joint specimen under corrosive environment, ψ A Indicates the cross-sectional shrinkage of the welded joint specimen in air.

[0047] Preferably, the bending test is a four-point bending test or a three-point bending test.

[0048] The four-point bending test is mainly carried out according to the standards NACE TM 0177-2016 "Standard Test Method for Laboratory Testing of Sulfide-Resistant Metals", GB / T 4157-2017 "Laboratory Test of Metals for Resistance to Special Forms of Environmental Cracking in Hydrogen Sulfide Environments", ASTM G39-99 (2021) "Specifications for Preparation and Use of Stress Corrosion Specimens of Bent Beams", and NACE TM0177-2016 "Stress Corrosion Cracking Test of Metals in Hydrogen Sulfide Environments".

[0049] Preferably, if all samples under a certain welding parameter are not fractured, and microcracks appear in the samples under the previous or next welding parameter, then the average values ​​of the stress corrosion sensitivity corresponding to these two welding parameters constitute the stress corrosion sensitivity limit range.

[0050] Preferably, the method further comprises: observing and analyzing the fracture surface of the slow strain rate tensile test, observing the brittle fracture morphology, cracks or surface pits, and providing a basis for improving the welding process.

[0051] The present invention quantitatively evaluates the samples that are broken, cracked, or not broken in the conventional hydrogen sulfide stress corrosion test (four-point bending) through a slow strain rate tensile test, and obtains the limit value or limit range of the stress corrosion sensitivity of the welded joint of this material. Combined with the macroscopic and microscopic analysis of the fracture and the observation of the structure, it can provide a direction for the improvement of the welding process. For the welded joints of the subsequent new process, it is only necessary to obtain the value of its stress corrosion sensitivity through a slow strain rate tensile test and compare it with the obtained limit value or limit range to determine whether the welding process has sufficient resistance to stress corrosion cracking, which greatly shortens the test time and can quantify the gap between qualified and unqualified processes.

[0052] Preferably, the method further comprises:

[0053] For the subsequent new process welding joints of the same base material pipeline steel, it is only necessary to obtain its stress corrosion sensitivity through slow strain rate tensile test and compare it with the obtained limit value or limit range to further determine whether the welding process has sufficient resistance to stress corrosion cracking.

[0054] Preferably, when the stress corrosion cracking resistance of the weld joint is greater than the limit value or exceeds the limit range, the stress corrosion cracking resistance of the weld joint is unqualified, otherwise it is qualified.

[0055] Preferably, the method further comprises: performing magnetic particle testing on the bending specimens without obvious cracks to ensure that no cracks are generated.

[0056] Preferably, the corrosion environment of the slow strain rate tensile test is 1×10 -3 mol / L Na2S2O3+NACE TM 0177A solution to ensure the normal use of the reactor and the safety of the test.

[0057] The slow strain rate tensile test is mainly carried out according to the standards GB / T 15970.7-2017 "Corrosion of metals and alloys - Stress corrosion test - Part 7: Slow strain rate test", BS EN ISO 7539-7-2005 "Corrosion of metals and alloys - Stress corrosion test - Slow rate stress test method", ISO 7539-7-2005 "Corrosion of metals and alloys - Stress corrosion test - Part 7: Slow rate stress test method", ISO 7539-8:2000 "Corrosion of metals and alloys - Stress corrosion testing - Part 8: Preparation and use of weldment assessment specimens".

[0058] Example

[0059] Welding heat input is an important technical indicator of welding process, which refers to the heat energy of welding arc or other heat source obtained by the weld per unit length. The size of heat input has a direct impact on welding quality. If the heat input is too large, unnecessary power consumption will increase, and welding defects such as "bite edge" will be easily generated. If the heat input is too small, welding defects such as "lack of penetration" may occur, affecting the strength of the weld.

[0060] This embodiment prepares five kinds of X65 pipeline steels for CMT welding with heat input. Each pipeline steel with heat input is sampled at the weld root and the middle wall thickness at 3, 6, 9, and 12 o'clock positions, 3 at each position, and a total of 24 samples. The yield strength of X65 pipeline steel is 495MPa, the loading load is 396MPa, and the loading deflection is 0.86-0.90mm (depending on the actual size of the sample). The bending test adopts a four-point bending test. Before H2S is passed into the NACE A solution, nitrogen needs to be passed for 1h to remove the air in the sealed box. The saturated concentration of hydrogen sulfide should be greater than 2300mg / L. The solution in step 1) needs to be tested for hydrogen sulfide concentration every week to ensure that the concentration is qualified. The test temperature is 24±3℃.

[0061] The quantitative evaluation method includes the following steps:

[0062] 1) Take samples from the weld root and the middle wall thickness at 3, 6, 9, and 12 o'clock positions of the weld joint. The sample form is as follows: Figure 2 As shown; the weld root side is used as the tensile surface to apply deflection loading to the specimen, as shown in Figure 3 As shown, the loading load is 80% of the yield strength of the parent material, and the loading formula is as follows:

[0063]

[0064] 2) Prepare an appropriate amount of NACE TM 0177A solution and place the sample and solution in a sealed box. Figure 4 As shown;

[0065] 3) After nitrogen is introduced for 1 hour to remove all air in the box, hydrogen sulfide gas is introduced; after a certain period of time, 10 ml of the solution is taken out for titration to determine whether H2S is saturated;

[0066] 4) The test duration is 30 days, and the test solution needs to be titrated every week during the test to determine whether the H2S is saturated;

[0067] 5) Take out the sample after 30 days and observe whether the sample is broken or cracked on the tensile surface under a 10x magnifying glass. If so, it means that the H2S stress corrosion resistance of the welded joint is unqualified;

[0068] 6) Different welded joint samples were tested in air and 1×10 -3mol / L Na2S2O3+NACE TM 0177A solution was used for slow strain rate tensile test. The tensile rate was 10 -6 s -1 , the test in Figure 5 The test is carried out in the reactor of the Cortest test machine shown in the figure. The sample size is as follows: Figure 6 As shown;

[0069] 7) Measure the cross-sectional area of ​​the slow strain rate tensile specimen before and after fracture to obtain the cross-sectional shrinkage rate ψ in air A and the cross-sectional shrinkage rate ψ under corrosive environment C The stress corrosion sensitivity value I of the welded joint is obtained by the following formula: ψ :

[0070]

[0071] 8) The sample in step 5) and the I obtained in step 7) ψ One-to-one correspondence eventually leads to the limit value or limit range of stress corrosion sensitivity. A value greater than this value or this range indicates that the stress corrosion cracking resistance of the welded joint is unqualified, otherwise it is qualified.

[0072] 9) Observe and analyze the fracture of the slow strain rate tensile test to observe the brittle fracture morphology, cracks or surface pits, and provide a basis for improving the welding process;

[0073] 10) Slow strain rate tensile test was carried out on the new welding process samples, and the calculated stress corrosion sensitivity I ψ Compare with the limit value to determine whether the new welded joint’s resistance to H2S stress corrosion cracking is qualified.

[0074] The bending test obtained the following results: all the heat input 1 and heat input 2 specimens were broken; the heat input 3 specimen was broken at the weld root and the specimen at the middle wall thickness was partially broken; microcracks were observed on the surface of the heat input 4 specimen, and magnetic particle testing proved that the specimen’s resistance to stress corrosion cracking was unqualified; the heat input 5 specimen did not break, and no cracks were found after magnetic particle testing.

[0075] Slow strain rate tensile tests were carried out on five heat input samples in air and corrosive environments, and the average values ​​of stress corrosion sensitivity were 68.75, 61.12, 53.42, 47.07, and 41.52, respectively. It can be considered that the limit range of stress corrosion sensitivity of CMT welded joints of X65 pipeline steel is [41.52, 47.07].

[0076] If the stress corrosion sensitivity of X65 pipeline steel CMT welded joints ψ If it is less than 41.52, it is considered that its stress corrosion cracking resistance is qualified, and if it is greater than 47.07, it is considered unqualified; if Iψ Within the limit range, a four-point bending test in a corrosive environment is required for judgment. If the welding process needs to be improved, the slow strain rate tensile test can be used to determine whether its performance is qualified. ψ Welding processes outside the range no longer need to undergo four-point bending tests in corrosive environments, which provides a quantitative basis for the stress corrosion cracking resistance of welded joints while shortening the test time.

[0077] Based on the method in the above embodiment, the embodiment of the present application provides an electronic device, such as Figure 7 As shown, the electronic device may include: a processor, a communications interface, a memory, and a communication bus, wherein the processor, the communications interface, and the memory communicate with each other via the communication bus. The processor may call the logic instructions in the memory to execute the method in the above embodiment.

[0078] In addition, the logic instructions in the above-mentioned memory can be implemented in the form of software functional units and can be stored in a computer-readable storage medium when sold or used as an independent product. Based on this understanding, the technical solution of the present application, or the part that contributes to the prior art, or the part of the technical solution, can be embodied in the form of a software product, which is stored in a storage medium and includes a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present application.

[0079] Based on the method in the above embodiment, an embodiment of the present application provides a computer-readable storage medium, which stores a computer program. When the computer program runs on a processor, the processor executes the method in the above embodiment.

[0080] Based on the method in the above embodiment, an embodiment of the present application provides a computer program product. When the computer program product runs on a processor, the processor executes the method in the above embodiment.

[0081] It is understandable that the processor in the embodiment of the present application can be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application specific integrated circuits (ASIC), field programmable gate arrays (FPGA) or other programmable logic devices, transistor logic devices, hardware components or any combination thereof. The general-purpose processor can be a microprocessor or any conventional processor.

[0082] The method steps in the embodiments of the present application can be implemented by hardware or by a processor executing software instructions. The software instructions can be composed of corresponding software modules, and the software modules can be stored in random access memory (RAM), flash memory, read-only memory (ROM), programmable read-only memory (PROM), erasable programmable read-only memory (EPROM), electrically erasable programmable read-only memory (EEPROM), registers, hard disks, mobile hard disks, CD-ROMs, or any other form of storage medium known in the art. An exemplary storage medium is coupled to a processor so that the processor can read information from the storage medium and write information to the storage medium. Of course, the storage medium can also be a component of the processor. The processor and the storage medium can be located in an ASIC.

[0083] In the above embodiments, it can be implemented in whole or in part by software, hardware, firmware or any combination thereof. When implemented using software, it can be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, the process or function described in the embodiment of the present application is generated in whole or in part. The computer may be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions may be stored in a computer-readable storage medium or transmitted through the computer-readable storage medium. The computer instructions may be transmitted from a website site, a computer, a server or a data center to another website site, a computer, a server or a data center by wired (e.g., coaxial cable, optical fiber, digital subscriber line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium may be any available medium that a computer can access or a data storage device such as a server or a data center that includes one or more available media integrated. The available medium may be a magnetic medium (e.g., a floppy disk, a hard disk, a tape), an optical medium (e.g., a DVD), or a semiconductor medium (e.g., a solid state disk (SSD)), etc.

[0084] It should be understood that the various numerical numbers involved in the embodiments of the present application are only used for the convenience of description and are not used to limit the scope of the embodiments of the present application.

[0085] It will be easily understood by those skilled in the art that the above description is only a preferred embodiment of the present application and is not intended to limit the present application. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present application shall be included in the scope of protection of the present application.

Claims

1. A quantitative evaluation method for stress corrosion sensitivity of pipeline steel welded joints, characterized in that: include: Respectively obtaining the average values ​​of stress corrosion sensitivity of all samples with the same welding parameters in the first welded joint sample group, wherein the stress corrosion sensitivity values ​​are obtained by a slow strain rate tensile test in air and a slow strain rate tensile test in a corrosive environment of the welded joint; The bending test results of all the samples with the same welding parameters in the second weld joint sample group are obtained respectively, where the samples in the first weld joint sample group and the samples in the second weld joint sample group are weld joints with the same base material pipeline steel and the same welding process but different welding parameters; Compare the bending test results under each welding parameter with the corresponding average stress corrosion sensitivity. If all specimens under a certain welding parameter do not break, and microcracks appear in the specimens under the previous or next welding parameter, the average stress corrosion sensitivity corresponding to these two welding parameters constitutes the stress corrosion sensitivity limit range.

2. The quantitative evaluation method according to claim 1, characterized in that: The calculation formula of the stress corrosion sensitivity value is: Among them, I ψ Indicates stress corrosion sensitivity. The larger the value, the worse the stress corrosion sensitivity of the sample. C Indicates the cross-sectional shrinkage of the welded joint specimen under corrosive environment, ψ A Indicates the cross-sectional shrinkage of the welded joint specimen in air.

3. The quantitative evaluation method according to claim 1, characterized in that: The bending test is a four-point bending test or a three-point bending test.

4. The quantitative evaluation method according to claim 1, characterized in that: The method also includes: observing and analyzing the fracture of the slow strain rate tensile test, observing the brittle fracture morphology, cracks or surface pits, and providing a basis for improving the welding process.

5. The quantitative evaluation method according to claim 4, characterized in that: The method further includes: For the subsequent new process welding joints of the same base material pipeline steel, it is only necessary to obtain its stress corrosion sensitivity through slow strain rate tensile test and compare it with the obtained limit value or limit range to further determine whether the welding process has sufficient resistance to stress corrosion cracking.

6. The quantitative evaluation method according to claim 5, characterized in that: When the value is greater than the limit value or exceeds the limit range, the stress corrosion cracking resistance of the welded joint is unqualified; otherwise, it is qualified.

7. The quantitative evaluation method according to claim 1, characterized in that: The method also includes: performing magnetic particle testing on the bending specimens without obvious cracks to ensure that no cracks are generated.

8. The quantitative evaluation method according to claim 1, characterized in that: The corrosion environment of the slow strain rate tensile test is 1×10 -3 mol / L Na2S2O3+NACE TM 0177A solution.

9. A quantitative evaluation system for stress corrosion sensitivity of pipeline steel welded joints, characterized in that: include: at least one memory for storing a program; At least one processor is used to execute the program stored in the memory. When the program stored in the memory is executed, the processor is used to execute the quantitative evaluation method according to any one of claims 1 to 8.

Images