Concrete curing device, concrete curing method, and concrete curing program

Abstract

To more securely cool concrete.SOLUTION: A concrete curing apparatus comprises: an estimation unit for estimating temperature distribution data on temperatures of concrete for a curing time after the concrete is placed, using a heat conduction equation; a decision unit for deciding an installation position of a temperature sensor for measuring temperatures, from a relation between the estimated temperature distribution data and positions inside the concrete; an acquisition unit for acquiring temperature data from the temperature sensor whose installation position is decided; and a control unit that on the basis of the acquired temperature data, controls a flow rate and temperature of coolant to be supplied to a cooling pipe provided inside the placed concrete.SELECTED DRAWING: Figure 2A

Description

[Technical field]

[0001] The present invention relates to a concrete curing apparatus, a concrete curing method, and a concrete curing program. [Background technology]

[0002] Concrete generates heat as it hardens due to a chemical reaction between water and cement. In particular, the reaction proceeds rapidly for several days after the concrete is poured, generating a large amount of heat, which can cause the concrete to crack. Therefore, as a measure to prevent cracks when the concrete is poured, pipe cooling is used to suppress the rise in temperature of the concrete and reduce cracks. When using pipe cooling, it is necessary to properly manage the arrangement and diameter of the pipes, the flow rate and temperature setting of the cooling water, etc.

[0003] In the above technical field, Patent Document 1 discloses a technology for automatically controlling the temperature of a fluid circulating through a pipe to cool concrete based on the temperature difference between the external and internal temperatures of the concrete (Claim 1 of the same document, etc.). [Prior art documents] [Patent documents]

[0004] [Patent Document 1] JP 2016-89357 A Summary of the Invention [Problem to be solved by the invention]

[0005] However, the technology described in Patent Document 1 mentioned above controls temperature based on the internal and external temperatures of the concrete, and does not control temperature based on the characteristics of the concrete, for example, temperature transition data for managing the concrete, and therefore cannot reliably cool the concrete. [Means for solving the problem]

[0006] In order to achieve the above object, the concrete curing apparatus according to the present invention comprises: An estimation unit that estimates temperature distribution data of the concrete over a curing time after pouring the concrete by using a heat conduction equation; a determination unit that determines an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete; an acquisition unit that acquires temperature data from the temperature sensor whose installation position has been determined; A control unit that controls a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data; Equipped with:

[0007] In order to achieve the above object, a concrete curing method according to the present invention comprises the steps of: An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation; a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete; an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined; A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data; Includes.

[0008] In order to achieve the above object, the concrete curing program according to the present invention comprises: An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation; a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete; an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined; A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data; to be executed by the computer. Effect of the Invention

[0009] According to the present invention, parameters for cooling the concrete are controlled based on the temperature transition data for managing the concrete, so that the concrete can be cooled more reliably. [Brief description of the drawings]

[0010] [Figure 1A] FIG. 2 is a diagram for explaining cooling of concrete performed in a concrete curing apparatus according to a preferred embodiment of the present invention. [Figure 1B] FIG. 2 is a diagram for explaining an outline of the operation of the concrete curing apparatus according to the preferred embodiment of the present invention. [Figure 2A] FIG. 1 is a block diagram for explaining a configuration of a concrete curing apparatus according to a preferred embodiment of the present invention. [Figure 2B] FIG. 10 is a diagram for explaining how to determine the installation position of a temperature sensor by the concrete curing apparatus according to the preferred embodiment of the present invention. [Figure 2C] FIG. 10 is a diagram for explaining how to determine the installation position of a temperature sensor by the concrete curing apparatus according to the preferred embodiment of the present invention. [Diagram 3] FIG. 2 is a diagram for explaining an example of a concrete table included in the concrete curing apparatus according to the preferred embodiment of the present invention. [Figure 4] FIG. 1 is a block diagram for explaining a hardware configuration of a concrete curing apparatus according to a preferred embodiment of the present invention. [Diagram 5] 2 is a flowchart for explaining a processing procedure of the concrete curing apparatus according to the preferred embodiment of the present invention. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0011] Hereinafter, the embodiments of the present invention will be described in detail with reference to the drawings. However, the configurations, numerical values, process flows, functional elements, etc. described in the following embodiments are merely examples, and are free to be modified or changed, and are not intended to limit the technical scope of the present invention to the following description.

[0012] A concrete curing apparatus 100 according to a preferred embodiment of the present invention will be described with reference to Figures 1A to 5. When cooling the concrete after pouring, the temperature of the concrete is controlled based on management temperature transition data that the concrete should follow in order to suppress the occurrence of cracks in the concrete.

[0013] First, the cooling of the concrete 110 performed in the concrete curing equipment 100 of this embodiment will be described with reference to Fig. 1A. The cooling of the concrete 110 is performed so as not to cause cracks in the concrete 110. Regarding cracks caused by cooling of the concrete 110, the temperature inside the concrete 110 due to cooling is predicted using the heat conduction equation of the following formula (1), and the thermal expansion coefficient of the concrete 110 is calculated from the predicted temperature, and whether or not cracks will occur is examined from the stress-strain relationship of the concrete 110.

[0014]

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[0015] Temperature distribution curves 152 to 154 show the temperature transition of the concrete 110 when cooling the concrete 110. Temperature distribution curve 152 shows the control target temperature of the concrete 110 at each time when cooling the concrete 110. In other words, the concrete curing apparatus according to this embodiment cools the concrete 110 so that the temperature of the concrete 110 transitions to follow the temperature distribution curve 152.

[0016] Temperature distribution curve 153 shows a distribution curve of the upper limit temperature of concrete 110 at each time. The upper limit temperature is the upper limit value of the concrete temperature allowed in cooling of concrete 110, and if this limit is exceeded, the expansion of concrete 110 will exceed expectations, making it more likely to cause cracks and the like. Cooling of concrete 110 is controlled so that the temperature of concrete 110 does not exceed the upper limit temperature shown by temperature distribution curve 153.

[0017] Moreover, temperature distribution curve 154 shows a distribution curve of the lower limit temperature of concrete 110 at each time. The lower limit temperature is the lower limit value of the concrete temperature allowed in cooling of concrete 110, and if the temperature falls below this limit, the shrinkage of concrete 110 will exceed expectations, making it more likely to crack. Cooling of concrete 110 is controlled so that the temperature of concrete 110 does not fall below the lower limit temperature indicated by temperature distribution curve 154. In this way, temperature control of concrete 110 is performed so that concrete 110 does not become too hot, and does not become too cold.

[0018] However, in the commonly practiced cooling of concrete, the temperature of the cooling water as a refrigerant, the flow rate of the cooling water, and the cooling period are all determined, and no feedback of the temperature of the concrete to be cooled is performed. In other words, the cooling of concrete is performed without changing the cooling conditions determined before cooling.

[0019] 1B, an overview of the operation of the concrete curing apparatus 100 according to this embodiment will be described. The concrete curing apparatus 100 manages the cooling of the concrete 110 so that the temperature of the concrete 110 follows, for example, a temperature distribution curve 152.

[0020] 1B(a), a cooling pipe 122 installed inside poured concrete 110 is installed inside a sheath tube 123. When a refrigerant is supplied from a refrigerant supply device 120 through a water supply hose 121 connected to the cooling pipe 122, the inside of the sheath tube 123 is filled with the refrigerant and the refrigerant overflows from the sheath tube 123. The overflowing refrigerant is collected by a refrigerant collection mechanism (not shown) and reused, thereby circulating.

[0021] 1B(a) and (b), the cooling pipe 122 is buried vertically from the top to the bottom of the concrete 110, but is not limited to this. Furthermore, the lower end of the cooling pipe 122 does not contact the bottom surface of the sheath tube 123.

[0022] The temperature of the poured concrete is measured by a temperature sensor 130 installed inside the concrete 110. As shown in Fig. 1B(b) and (c), the temperature sensor 130 is installed, for example, near the cooling pipe 122. Such an arrangement of the temperature sensor 130 relies on the past experience and intuition of the worker, and it is not always possible to accurately measure the temperature of the poured concrete.

[0023] In particular, when pouring concrete 110 over a wide area (mass concrete), if there are an insufficient number of temperature sensors, if the temperature sensors are installed in uneven positions, or if the temperature sensors 130 are installed in positions that do not easily reflect the temperature of the concrete 110, it is not possible to accurately grasp the temperature of the concrete 110. As a result, it becomes impossible to accurately control the temperature of the concrete 110. In other words, when installing such temperature sensors 130, there are some locations where the temperature change of the concrete 110 is not large, and some locations that are insensitive to the temperature change of the concrete 110, and it may not be possible to accurately grasp the temperature and temperature change of the concrete 110.

[0024] Therefore, the concrete curing equipment 100 predicts the temperature inside the concrete 110 from a heat conduction equation, and based on the predicted temperature transition, determines an installation position that effectively represents the temperature inside the concrete 110. The temperature sensor 130 is installed inside the concrete 110, for example, at a position where the temperature change is large or at a position that is sensitive to temperature change.

[0025] The concrete curing equipment 100 then acquires temperature data of the concrete 110 from the temperature sensor 130 installed at the determined installation position, and controls the flow rate and temperature of the coolant supplied to the concrete 110 based on the acquired temperature data.

[0026] The temperature sensor 130 is a thermocouple type sensor, but any sensor capable of measuring temperature may be used. The flow rate of the refrigerant supplied is preferably 0 to 100 (l / min). The temperature of the refrigerant supplied is preferably 5°C to 30°C, and more preferably 10°C to 20°C. The diameter of the cooling pipes 122 is preferably φ25 to φ75, and more preferably φ25 to φ50, and the length of the cooling pipes 122 is preferably 50 to 100 m. The arrangement interval of the cooling pipes 122 is preferably 0.5 m to 1.2 m, and more preferably 0.5 to 0.8 m.

[0027] 2A to 2C, a description will be given of the configuration of the concrete curing apparatus 100 and the determination of the installation position. The concrete curing apparatus 10 has an estimation unit 201, a determination unit 202, a scaling unit 203, an acquisition unit 204, and a control unit 205.

[0028] The estimation unit 201 estimates temperature distribution data of the temperature of the concrete 110 over the curing time after the concrete 110 is poured, using a heat conduction equation.

[0029] The determination unit 202 determines the installation position of the temperature sensor 130 for measuring the temperature from the relationship between the estimated temperature distribution data and the position inside the concrete 110. The installation position is expressed as a distance from the cooling pipe 122. In other words, the determination unit 202 determines the installation position of the temperature sensor 130 to be, for example, 10 cm or 15 cm away from the cooling pipe 122.

[0030] The determination unit 202 further includes an extreme value calculation unit 221. The extreme value calculation unit 221 calculates the second derivative (d 2 G / dχ 2 ) to calculate the extreme values.

[0031] The scaling unit 203 scales each of the temperature distribution curves, in which the temperature distribution data is plotted for each curing time, by the square root of the curing time. Hereinafter, the details of the processing in the estimation unit 201, the determination unit 202, and the scaling unit 203 will be described.

[0032] <Details of Processing in the Estimation Unit 201, the Determination Unit 202, and the Scale Reduction Unit 203> Regarding the heat conduction phenomenon, since a three-dimensional phenomenon can be predicted from a one-dimensional phenomenon, the one-dimensional heat conduction equation is used for the study. The estimation unit 201 converts the three-dimensional heat conduction equation of formula (1) into a one-dimensional heat conduction equation to derive formula (2).

[0033]

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[0034]

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[0035] Equation (3) is a function of position (x) and time (t). Let us consider the variables shown in the following equation (4). η in equation (4) is a parameter that is automatically derived by non-dimensionalizing equation (3).

[0036]

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[0037]

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[0038]

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[0039] Next, when calculations are performed for D=1.0 and x=0 to 2 in the equations (5) and (6) derived as described above, graph 240 shown in Fig. 2B is obtained from equation (5), and graph 260 shown in Fig. 2C is obtained from equation (6). In graph 240, curve 241 indicates the case where t=1, and curve 242 indicates the case where t=8. Similarly, in graph 260, curve 261 indicates the case where t=1, and curve 262 indicates the case where t=8.

[0040] Here, when the horizontal axis (x-axis) of curve 242 in graph 240 in Fig. 2B is scaled by scaling unit 203 by √t, curve 251 is obtained in graph 250 in Fig. 2B. Curve 251 is obtained by scaling the x-axis of curve 242 in graph 240 by √t, and is a curve that overlaps with curve 241.

[0041] Similarly, in graph 260 in Fig. 2C, when scaling unit 203 scales the horizontal axis (x-axis) of curve 262 by √t, curve 271 is obtained in graph 270 in Fig. 2C. Curve 271 is obtained by scaling the x-axis of curve 262 in graph 260 by √t, and is a curve that overlaps with curve 261.

[0042] 2C, it can be seen that when D=1.0, the temperature gradient is 0 at approximately position 5 (x=5). Therefore, it can be considered that the range of temperature influence at position 0 (x=0) extends up to 5.

[0043] Here, x = √2Dt, so if D = 1.0 and t = 1, the temperature gradient reaches its maximum value at x = 1.414. If the cooling range of the cooling pipe 122 is 30 cm, the above-mentioned influence range 5 can be assumed to be equivalent to 30 cm. Therefore, the installation position of the temperature sensor 130 (r p : distance from the cooling pipe 122) is, when D=1.0 and D=3.0, r p =(30 / 5)×1.414= 8.48cm (when D=1.0) r p =(30 / 5)×2.449=14.70cm (when D=3.0) It can be calculated as follows.

[0044] <Thermal diffusion coefficient D> Here, we will explain the thermal diffusion coefficient D. If φ is the temperature, the heat conduction equation (equation (2)) becomes the following equation (7).

[0045]

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[0046] Here, as in equation (10),

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[0047] Where:

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[0048] <Derivation of error function and extreme values> Differentiating equation (3) with respect to t and x, we get

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[0049] Substituting this into equation (2), we get

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[0050] Where:

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[0051] And the function G is the following error function:

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[0052] If we differentiate this function G (the first derivative of G), we get

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[0053] Furthermore, differentiating equation (21) (the second derivative of G), we get

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[0054] From here,

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[0055] <About cooling control of Concrete 110> Next, the temperature sensor 130 is installed at the installation position calculated as described above, and cooling control of the concrete 110 will be described. The acquisition unit 204 acquires temperature data from the temperature sensor 130 whose installation position has been determined. The installation position of the temperature sensor 130 is represented by the distance from the cooling pipe 122. Here, the acquisition unit 204 is connected to each of the temperature sensors 130 installed on the concrete 110 by wire or wirelessly, and acquires the measured temperature data via wire or wireless. The acquisition unit 204 acquires temperature data from the temperature sensor 130 at a predetermined time interval, for example, at intervals of several minutes or several hours.

[0056] The acquisition unit 204 may further acquire the flow rate and temperature of the refrigerant supplied to the cooling pipe 122 (sheath tube 123) installed inside the concrete 110 as parameters in order to manage and cool the temperature of the concrete 110.

[0057] Here, the coolant supplied to the cooling pipe 122 is typically water, but the coolant is not limited to this and may be other liquids suitable for cooling the concrete 110. Moreover, the coolant supplied to the cooling pipe 122 is not limited to a liquid and may be, for example, a gas such as a gas.

[0058] The refrigerant supplying device 120 is connected to the concrete curing device 100 by wire or wirelessly, and the flow rate and temperature of the refrigerant are acquired, for example, from a flow rate sensor and a temperature sensor provided in the refrigerant supplying device 120. The acquiring unit 204 acquires refrigerant data relating to the flow rate and temperature of the refrigerant at predetermined time intervals, for example, at intervals of several minutes or several hours.

[0059] Based on the acquired temperature data, the control unit 205 controls the flow rate and temperature of the coolant supplied to the cooling pipes 122 installed inside the poured concrete 110. Specifically, the control unit 205 controls the flow rate and temperature of the coolant as parameters based on a plot curve 140 of the management temperature transition data that the concrete 110 should follow.

[0060] That is, the control unit 205 controls the flow rate and temperature of the refrigerant as parameters based on the acquired temperature data and refrigerant data during the period from the start time to the end time of the plot curve 140 of the management temperature trend data, so that the temperature of the concrete 110 follows, for example, the temperature distribution curve 152.

[0061] There are various methods for controlling the temperature of the concrete 110, but any method may be used as long as it can control the temperature of the concrete 110 to follow the temperature distribution curve 152. For example, when the temperature of the concrete 110 exceeds the temperature distribution curve 152, the control unit 205 increases the flow rate of the coolant. Conversely, when the temperature of the concrete 110 is below the temperature distribution curve 152, the control unit 205 reduces, for example, the flow rate of the coolant.

[0062] FIG. 3 is a diagram showing an example of a concrete table 301 included in the concrete curing apparatus 100. The concrete table 301 stores thermal conductivity 312, density 313, and specific heat 314 in association with a concrete ID (Identifier) ​​311. The concrete ID is an identifier for identifying the concrete. The thermal conductivity 312, density 313, and specific heat 314 represent the characteristics of the concrete. The concrete curing apparatus 100 then refers to the concrete table 301 and analyzes the temperature transition of the concrete using a heat conduction equation.

[0063] The hardware configuration of the concrete curing apparatus 100 will be described with reference to FIG. 4. The CPU (Central Processing Unit) 410 is a processor for arithmetic control, and executes a program to realize each functional configuration of the concrete curing apparatus 100 in FIG. 2A. The CPU 410 has multiple processors, and may execute different programs, modules, tasks, threads, etc. in parallel. The ROM (Read Only Memory) 420 stores fixed data such as initial data and programs, and other programs. The network interface 430 communicates with other devices via a network. The CPU 410 is not limited to one, and may be multiple CPUs or may include a GPU (Graphics Processing Unit) for image processing. The network interface 430 preferably has a CPU independent of the CPU 410, and writes or reads transmitted / received data in an area of ​​the RAM (Random Access Memory) 440. It is also preferable to provide a DMAC (Direct Memory Access Controller) that transfers data between the RAM 440 and the storage 450 (not shown). The CPU 410 recognizes that data has been received or transferred to the RAM 440, and processes the data. Furthermore, the CPU 410 prepares the processing results in the RAM 440, and leaves the subsequent transmission or transfer to the network interface 430 or DMAC.

[0064] The RAM 440 is a random access memory used by the CPU 410 as a work area for temporary storage. A storage area for storing data necessary for implementing the present embodiment is secured in the RAM 440. The thermal conductivity data 441 is data on the thermal conductivity of the cast concrete 110. The density data 442 is data on the density of the cast concrete 110. The specific heat data 443 is data on the specific heat of the cast concrete 110. The temperature data 444 is data on the temperature of the concrete 110 acquired from the temperature sensor 130 installed in the cast concrete 110. The refrigerant data 445 is data on the flow rate and temperature of the refrigerant supplied to the cooling pipe 122 to cool the cast concrete 110. The target temperature data 446 is data indicating the temperature to which the cast concrete 110 should conform at a certain time.

[0065] The transmitted / received data 447 is data that is transmitted and received via the network interface 430. The RAM 440 also has an application execution area 448 for executing various application modules.

[0066] The storage 450 stores a database, various parameters, or the following data or programs required to realize this embodiment. The storage 450 stores a concrete table 301. The concrete table 301 is a table that manages the relationship between the concrete ID 311 and the thermal conductivity 312, etc., shown in FIG. 3.

[0067] The storage 450 further stores an estimation module 451, a determination module 452, a scale module 453, an acquisition module 454, and a control module 455. The determination module 452 further includes an extreme value calculation module. The estimation module 451 is a module that estimates temperature distribution data of the temperature of the concrete 110 according to the curing time after the concrete 110 is poured, using a heat conduction equation. The determination module 452 is a module that determines the installation position of the temperature sensor 130 for measuring the temperature of the concrete 110, based on the relationship between the estimated temperature distribution data and the position inside the concrete 110. The extreme value calculation module is a module that calculates extreme values ​​from the second derivative of the error function G derived from the heat conduction equation. The scale module 453 is a module that scales each of the temperature distribution curves, in which the temperature distribution data is plotted for each curing time, using the square root of the curing time. The acquisition module 454 is a module that acquires temperature data from the temperature sensor 130, the installation position of which has been determined. The control module 455 is a module that controls the flow rate and temperature of the coolant supplied to the cooling pipe 122 installed inside the poured concrete 110 based on the acquired temperature data. These modules 451 to 455 are read into the application execution area 448 of the RAM 440 by the CPU 410 and executed. The control program 456 is a program for controlling the entire concrete curing apparatus 100.

[0068] The input / output interface 460 interfaces with input / output devices for input / output data. A display unit 461 and an operation unit 462 are connected to the input / output interface 460. A storage medium 464 may also be connected to the input / output interface 460. A speaker 463 serving as an audio output unit, a microphone (not shown) serving as an audio input unit, or a GPS position determination unit may also be connected. Note that the RAM 440 and storage 450 shown in FIG. 4 do not show programs and data relating to the general-purpose functions of the concrete curing apparatus 100 or other feasible functions.

[0069] The processing procedure of the concrete curing apparatus 100 will be described with reference to the flowchart shown in Fig. 5. This flowchart is executed by the CPU 410 in Fig. 4 using the RAM 440, and realizes each functional configuration of the concrete curing apparatus 100 in Fig. 2A.

[0070] In step S501, the concrete curing apparatus 100 derives a heat diffusion equation (Equation 3) from the one-dimensional heat conduction equation (Equation 2). In step S503, the concrete curing apparatus 100 derives an error function (Equation 5) from the heat diffusion equation (Equation 3). In step S505, the concrete curing apparatus 100 derives an extreme value from the second-order differentiation of the error function (Equation 5). In step S507, the concrete curing apparatus 100 determines an installation position of the temperature sensor 130 from the derived extreme value. In step S509, the concrete curing apparatus 100 acquires temperature data from the installed temperature sensor 130. In step S511, the concrete curing apparatus 100 controls the flow rate and temperature of the coolant supplied to the concrete based on the acquired temperature data.

[0071] According to this embodiment, the position of the concrete that is sensitive to temperature changes is determined from the heat conduction equation, and a temperature sensor is installed at the determined position, so that the concrete can be cooled more reliably.

[0072] [Other embodiments] Although the present invention has been described above with reference to the embodiments, the present invention is not limited to the above embodiments. Various modifications that can be understood by those skilled in the art can be made to the configuration and details of the present invention within the scope of the present invention. In addition, systems or devices that combine separate features included in each embodiment in any way are also included in the scope of the present invention.

[0073] The present invention may be applied to a system consisting of multiple devices, or to a single device. Furthermore, the present invention is also applicable to a case where an information processing program for realizing the functions of the embodiments is supplied directly or remotely to a system or device. Therefore, the scope of the present invention also includes a program installed on a computer to realize the functions of the present invention by a computer, a medium storing the program, and a WWW (World Wide Web) server for downloading the program. In particular, the scope of the present invention includes at least a non-transitory computer readable medium storing a program for causing a computer to execute the processing steps included in the above-mentioned embodiments.

Claims

1. An estimation unit that estimates temperature distribution data of the concrete over a curing time after pouring the concrete by using a heat conduction equation; a determination unit that determines an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete; an acquisition unit that acquires temperature data from the temperature sensor whose installation position has been determined; A control unit that controls a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data; Equipped with The determination unit is The second derivative of the error function G(χ,t) derived from the heat conduction equation [0010] An extreme value calculation unit that calculates an extreme value from The concrete curing apparatus determines the installation position based on the calculated extreme value.

2. A scaling unit is further provided that scales each of the temperature distribution curves obtained by plotting the temperature distribution data for each curing time by using a square root of the curing time, The concrete curing apparatus according to claim 1 , wherein the determination unit determines the installation position based on a scaled temperature distribution curve.

3. 3. The concrete curing apparatus according to claim 1, wherein the installation position is expressed as a distance from the cooling pipe.

4. An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation; a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete; an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined; A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data; Including, In the determining step, The second derivative of the error function G(χ,t) derived from the heat conduction equation [0025] Further comprising an extreme value calculation step of calculating an extreme value from A concrete curing method comprising determining the installation position based on the calculated extreme value.

5. An estimation step of estimating temperature distribution data of the concrete temperature over a curing time after pouring the concrete using a heat conduction equation; a determining step of determining an installation position of a temperature sensor for measuring the temperature based on a relationship between the estimated temperature distribution data and a position inside the concrete; an acquiring step of acquiring temperature data from the temperature sensor whose installation position has been determined; A control step of controlling a flow rate and a temperature of a coolant supplied to a cooling pipe installed inside the poured concrete based on the acquired temperature data; Run the following on your computer: In the determining step, The second derivative of the error function G(χ,t) derived from the heat conduction equation [0030] Further comprising an extreme value calculation step of calculating an extreme value from A concrete curing program that determines the installation position based on the calculated extreme value.

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