CN118090824A - Method for measuring soil heat flux by using distributed optical fibers - Google Patents

Method for measuring soil heat flux by using distributed optical fibers Download PDF

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CN118090824A
CN118090824A CN202410512099.7A CN202410512099A CN118090824A CN 118090824 A CN118090824 A CN 118090824A CN 202410512099 A CN202410512099 A CN 202410512099A CN 118090824 A CN118090824 A CN 118090824A
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soil
optical cable
formula
temperature
optical
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CN118090824B (en
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胡优
葛佩琳
彭遥
刘吕刚
帅佳明
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Jiangxi Academy Of Water Resources Jiangxi Dam Safety Management Center Jiangxi Water Resources Management Center
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Jiangxi Academy Of Water Resources Jiangxi Dam Safety Management Center Jiangxi Water Resources Management Center
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N25/00Investigating or analyzing materials by the use of thermal means
    • G01N25/20Investigating or analyzing materials by the use of thermal means by investigating the development of heat, i.e. calorimetry, e.g. by measuring specific heat, by measuring thermal conductivity
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01KMEASURING TEMPERATURE; MEASURING QUANTITY OF HEAT; THERMALLY-SENSITIVE ELEMENTS NOT OTHERWISE PROVIDED FOR
    • G01K11/00Measuring temperature based upon physical or chemical changes not covered by groups G01K3/00, G01K5/00, G01K7/00 or G01K9/00
    • G01K11/32Measuring temperature based upon physical or chemical changes not covered by groups G01K3/00, G01K5/00, G01K7/00 or G01K9/00 using changes in transmittance, scattering or luminescence in optical fibres

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  • General Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
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  • General Health & Medical Sciences (AREA)
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  • Investigating Or Analyzing Materials Using Thermal Means (AREA)
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Abstract

The invention discloses a method for measuring soil heat flux by using distributed optical fibers, which comprises the following steps: two optical cables are arranged in parallel in soil to be measured in the field and are divided into an optical cable A and an optical cable B; collecting the change of the temperature T of different spatial points of the optical cable B in the soil to be measured along with the time T; performing temperature calibration on the optical cable B; according to a radial heat conduction equation of the optical cable A, obtaining the thermal diffusivity and the volumetric heat capacity of the soil; obtaining the thermal conductivity of the soil based on the thermal diffusivity and the volumetric heat capacity; obtaining soil thermal inertia based on the soil thermal conductivity; and obtaining the soil heat flux based on the soil heat inertia. The method has important significance for the development of the soil heat flux measurement technology, and can provide more accurate data support for the surface energy balance and the surface evapotranspiration simulation.

Description

Method for measuring soil heat flux by using distributed optical fibers
Technical Field
The invention relates to the field of heat pulse, in particular to a method for measuring soil heat flux by using a distributed optical fiber.
Background
Soil heat flux is one of the important parameters of surface energy balance, and has important influence on mass energy transmission and distribution between the ground and the air. Meanwhile, the soil heat flux is an important factor for simulating the surface evapotranspiration, and the simulation accuracy of the surface evapotranspiration can be greatly influenced. The soil heat flux has larger space variability under the influence of micro topography, local hydraulic and thermal characteristics of the soil and solar radiation. A common method for measuring soil heat flux is a spot-scale flux plate method, which can only perform single-point measurement and is not spatially representative. Therefore, there is a need to develop and optimize the measurement technique of soil heat flux.
Disclosure of Invention
The invention aims at a method for measuring soil heat flux by using distributed optical fibers, and realizes high spatial resolution (0.25 m) monitoring of soil hydrothermal parameters by using two parallel optical fibers, thereby improving the measurement precision and range of soil volume weight.
The technical scheme adopted by the invention is as follows: a method for measuring soil heat flux by using a distributed optical fiber, comprising the following steps:
step S1: two optical cables are arranged in parallel in soil to be measured in the field and are divided into an optical cable A and an optical cable B, wherein the optical cable A is a heat source optical cable, and the optical cable B is a temperature sensing optical cable;
Step S2: acquiring the change of the temperature T of different spatial points of the optical cable B in the soil to be detected along with the time T by using an optical signal demodulation module DTS;
Step S3: performing temperature calibration on the optical cable B, and performing temperature calibration on an optional position selected by the optical cable B;
step S4: after the temperature calibration is finished, calculating a heating value for the cable B;
Step S5: the optical cable A is used as a linear heat source to meet the condition of a radial heat conduction equation, partial differentiation is carried out on the radial heat conduction equation, and the partial differentiation is equal to zero, so that the soil thermal diffusivity and the volumetric heat capacity are obtained;
Step S6: obtaining thermal conductivity based on the soil thermal diffusivity and the volumetric heat capacity in step S5;
step S7: obtaining soil thermal inertia based on the soil thermal conductivity;
Step S8: obtaining soil heat flux based on soil heat inertia;
Wherein the soil heat flux in the step S8 is obtained by the formula (1);
(1);
Wherein G is soil heat flux; i is soil thermal inertia; n is the number of times; m is the total number of harmonics used; a n is the amplitude of the nth harmonic; omega is the angular frequency; t is time; is the phase shift of the nth harmonic; a n And obtaining the temperature data monitored by the harmonic analysis optical signal demodulation module DTS.
Further, in the step S1, the center distance r 0 between the optical cable A and the optical cable B is about 6mm, and the structure of the optical cable comprises an insulating sheath, a metal layer and an optical fiber from outside to inside; the method comprises the following steps:
electrifying a metal layer of the optical cable A with the length of l within a preset time to generate Joule heat, wherein the heating power q of the optical cable A is obtained through the resistance R of the metal layer and the voltage U recorded in real time; q=u 2/(l×r).
Further, in step S3, a position of the optical cable B is selected to perform temperature calibration; represented by formula (2);
(2);
In the method, in the process of the invention, The temperature after the calibration is the temperature of any position z; gamma is the energy offset between the photons of the incident laser wavelength and the scattered raman photons,The light intensity ratio of the arbitrary position z; j is a dimensionless calibration parameter on the optical cable B, and is related to the attribute of the DTS instrument of the incident laser and optical signal demodulation module; Δα is the differential attenuation between the anti-stokes signal and the stokes signal in cable B;
Wherein order Gamma, C and delta alpha are obtained by the formula (3), the formula (4) and the formula (5);
(3);
(4);
(5);
In the method, in the process of the invention, The temperature vector, the parameter vector and the light intensity ratio vector are respectively; And Respectively the different positions of the optical cable BAndA corresponding temperature; And Respectively at different positions on the optical cable BAndA corresponding light intensity ratio; defining different locations on fiber optic cable BAndThe distance is far enough.
Further, in step S4, a temperature rise value is calculated for the optical fiber B;
(6);
In the method, in the process of the invention, The temperature rise value at the time t of the optical cable B; And The resulting slope and intercept were linearly fitted to the temperature data for 5 minutes before heating and 20 minutes after heating was completed.
Further, in step S5, the radial heat conduction equation is specifically shown in equation (7) and equation (8):
(7);
(8);
Wherein the limitation in the formula (7) is that 0.ltoreq.t.ltoreq. The constraint in equation (8) is t >0; t is time; t 0 is the heating time of the heat source, and is set to 10 minutes;
The temperature increment of the heating stage and the cooling stage respectively; r 0 is the distance from the temperature sensing optical cable B to the linear heat source optical cable; q is the thermal strength per unit time; q=q/C, C being the volumetric heat capacity of the medium; k is thermal diffusivity; e i (-x) is an exponential integral function;
The distance r 0 between the optical cables A and B is equal to the theoretical distance r 0 'obtained through agar calibration, and r 0' can be obtained by fitting formulas (7) and (8) because the thermal diffusivity and the volumetric heat capacity of agar are known.
Partial differentiation is carried out on parameters in a radial heat conduction equation, and the parameters in the radial heat conduction equation are enabled to be equal to zero, so that the thermal diffusivity and the volumetric heat capacity of the medium are obtained; specifically, partial differentiation is performed on the time t in the formula (7) and the formula (8), as shown in the formula (9) and the formula (10):
(9);
(10);
Wherein k is thermal diffusivity, and C is volumetric heat capacity of the medium; The maximum heating value of the optical cable B; t m is the time corresponding to the maximum temperature rise value of the optical cable B.
Further, the thermal conductivity of the soil is obtained based on the thermal diffusivity and the volumetric heat capacity of the medium in step S5; obtained by the formula (11):
(11);
Where λ is the thermal conductivity of the soil.
Further, the thermal inertia of the soil is obtained based on the thermal conductivity of the soil; Obtained by the formula (12):
(12)。
The beneficial effects of the invention are as follows: the invention mainly provides a method for measuring the soil heat flux by using a distributed optical fiber, which calculates the soil heat inertia by a heat pulse method and analyzes the soil temperature monitored by the optical fiber by combining a harmonic method so as to estimate the soil heat flux.
Drawings
FIG. 1 is a schematic diagram of the fiber optic soil heat flux measurement of the present invention.
Detailed Description
The technical scheme adopted by the invention is as follows: a method for measuring soil heat flux by using a distributed optical fiber, comprising the following steps:
step S1: two optical cables are arranged in parallel in soil to be measured in the field and are divided into an optical cable A and an optical cable B, wherein the optical cable A is a heat source optical cable, and the optical cable B is a temperature sensing optical cable;
Step S2: acquiring the change of the temperature T of different spatial points of the optical cable B in the soil to be detected along with the time T by using an optical signal demodulation module DTS;
Step S3: performing temperature calibration on the optical cable B, and performing temperature calibration on an optional position selected by the optical cable B;
step S4: after the temperature calibration is finished, calculating a heating value for the cable B;
Step S5: the optical cable A is used as a linear heat source to meet the condition of a radial heat conduction equation, partial differentiation is carried out on the radial heat conduction equation, and the partial differentiation is equal to zero, so that the soil thermal diffusivity and the volumetric heat capacity are obtained;
Step S6: obtaining thermal conductivity based on the soil thermal diffusivity and the volumetric heat capacity in step S5;
step S7: obtaining soil thermal inertia based on the soil thermal conductivity;
Step S8: obtaining soil heat flux based on soil heat inertia;
Wherein the soil heat flux in the step S8 is obtained by the formula (1);
(1);
Wherein G is soil heat flux; i is soil thermal inertia; n is the number of times; m is the total number of harmonics used; a n is the amplitude of the nth harmonic; omega is the angular frequency; t is time; is the phase shift of the nth harmonic; a n And obtaining the temperature data monitored by the harmonic analysis optical signal demodulation module DTS.
Further, in the step S1, the center distance r 0 between the optical cable A and the optical cable B is about 6mm, and the structure of the optical cable comprises an insulating sheath, a metal layer and an optical fiber from outside to inside; the method comprises the following steps:
electrifying a metal layer of the optical cable A with the length of l within a preset time to generate Joule heat, wherein the heating power q of the optical cable A is obtained through the resistance R of the metal layer and the voltage U recorded in real time; q=u 2/(l×r).
Further, in step S3, a position of the optical cable B is selected to perform temperature calibration; represented by formula (2);
(2);
In the method, in the process of the invention, The temperature after the calibration is the temperature of any position z; gamma is the energy offset between the photons of the incident laser wavelength and the scattered raman photons,The light intensity ratio of the arbitrary position z; j is a dimensionless calibration parameter on the optical cable B, and is related to the attribute of the DTS instrument of the incident laser and optical signal demodulation module; Δα is the differential attenuation between the anti-stokes signal and the stokes signal in cable B;
Wherein order Gamma, C and delta alpha are obtained by the formula (3), the formula (4) and the formula (5);
(3);
(4);
(5);
In the method, in the process of the invention, The temperature vector, the parameter vector and the light intensity ratio vector are respectively; And Respectively the different positions of the optical cable BAndA corresponding temperature; And Respectively at different positions on the optical cable BAndA corresponding light intensity ratio; defining different locations on fiber optic cable BAndThe distance is far enough.
Further, in step S4, a temperature rise value is calculated for the optical fiber B;
(6);
In the method, in the process of the invention, The temperature rise value at the time t of the optical cable B; And The resulting slope and intercept were linearly fitted to the temperature data for 5 minutes before heating and 20 minutes after heating was completed.
Further, in step S5, the radial heat conduction equation is specifically shown in equation (7) and equation (8):
(7);
(8);
Wherein the limitation in the formula (7) is that 0.ltoreq.t.ltoreq. The constraint in equation (8) is t >0; t is time; t 0 is the heating time of the heat source, and is set to 10 minutes;
The temperature increment of the heating stage and the cooling stage respectively; r 0 is the distance from the temperature sensing optical cable B to the linear heat source optical cable; q is the thermal strength per unit time; q=q/C, C being the volumetric heat capacity of the medium; k is thermal diffusivity; e i (-x) is an exponential integral function;
The distance r 0 between the optical cables A and B is equal to the theoretical distance r 0 'obtained through agar calibration, and r 0' can be obtained by fitting formulas (7) and (8) because the thermal diffusivity and the volumetric heat capacity of agar are known.
Partial differentiation is carried out on parameters in a radial heat conduction equation, and the parameters in the radial heat conduction equation are enabled to be equal to zero, so that the thermal diffusivity and the volumetric heat capacity of the medium are obtained; specifically, partial differentiation is performed on the time t in the formula (7) and the formula (8), as shown in the formula (9) and the formula (10):
(9);
(10);
Wherein k is thermal diffusivity, and C is volumetric heat capacity of the medium; The maximum heating value of the optical cable B; t m is the time corresponding to the maximum temperature rise value of the optical cable B.
Further, the thermal conductivity of the soil is obtained based on the thermal diffusivity and the volumetric heat capacity of the medium in step S5; obtained by the formula (11):
(11);
Where λ is the thermal conductivity of the soil.
Further, the thermal inertia of the soil is obtained based on the thermal conductivity of the soil; Obtained by the formula (12):
(12)。
Although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, substitutions and alterations can be made therein without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.

Claims (7)

1. A method for measuring soil heat flux by using a distributed optical fiber, which is characterized by comprising the following steps: the method comprises the following steps:
step S1: two optical cables are arranged in parallel in soil to be measured in the field and are divided into an optical cable A and an optical cable B, wherein the optical cable A is a heat source optical cable, and the optical cable B is a temperature sensing optical cable;
Step S2: acquiring the change of the temperature T of different spatial points of the optical cable B in the soil to be detected along with the time T by using an optical signal demodulation module DTS;
Step S3: performing temperature calibration on the optical cable B, and performing temperature calibration on an optional position selected by the optical cable B;
step S4: after the temperature calibration is finished, calculating a heating value for the cable B;
Step S5: the optical cable A is used as a linear heat source to meet the condition of a radial heat conduction equation, partial differentiation is carried out on the radial heat conduction equation, and the partial differentiation is equal to zero, so that the soil thermal diffusivity and the volumetric heat capacity are obtained;
Step S6: obtaining thermal conductivity based on the soil thermal diffusivity and the volumetric heat capacity in step S5;
step S7: obtaining soil thermal inertia based on the soil thermal conductivity;
Step S8: obtaining soil heat flux based on soil heat inertia;
Wherein the soil heat flux in the step S8 is obtained by the formula (1);
(1);
Wherein G is soil heat flux; i is soil thermal inertia; n is the number of times; m is the total number of harmonics used; a n is the amplitude of the nth harmonic; omega is the angular frequency; t is time; Is the phase shift of the nth harmonic; a n and/> And obtaining the temperature data monitored by the harmonic analysis optical signal demodulation module DTS.
2. A method of measuring soil heat flux using a distributed optical fiber according to claim 1, wherein: in the step S1, the center distance r 0 between the optical cable A and the optical cable B is about 6mm, and the structure of the optical cable comprises an insulating sheath, a metal layer and optical fibers from outside to inside; the method comprises the following steps:
electrifying a metal layer of the optical cable A with the length of l within a preset time to generate Joule heat, wherein the heating power q of the optical cable A is obtained through the resistance R of the metal layer and the voltage U recorded in real time; q=u 2/(l×r).
3. A method of measuring soil heat flux using a distributed optical fiber according to claim 2, wherein: step S3, selecting an arbitrary position on the optical cable B for temperature calibration; represented by formula (2);
(2);
In the method, in the process of the invention, The temperature after the calibration is the temperature of any position z; gamma is the energy offset between the incident laser wavelength photon and the scattered raman photon,/>The light intensity ratio of the arbitrary position z; j is a dimensionless calibration parameter on the optical cable B, and is related to the attribute of the DTS instrument of the incident laser and optical signal demodulation module; Δα is the differential attenuation between the anti-stokes signal and the stokes signal in cable B;
Wherein order Gamma, C and delta alpha are obtained by the formula (3), the formula (4) and the formula (5);
(3);
(4);
(5);
In the method, in the process of the invention, 、/>、/>The temperature vector, the parameter vector and the light intensity ratio vector are respectively; /(I)、/>And/>Respectively the different positions/>, of the optical cable B、/>And/>A corresponding temperature; /(I)、/>And/>Respectively the different positions/>, on the optical cable B、/>And/>A corresponding light intensity ratio; definition of different locations/>, on optical cable B、/>And/>The distance is far enough.
4. A method of measuring soil heat flux using a distributed optical fiber according to claim 3, wherein: in the step S4, calculating a heating value of the cable B;
(6);
In the method, in the process of the invention, The temperature rise value at the time t of the optical cable B; /(I)And/>The resulting slope and intercept were linearly fitted to the temperature data for 5 minutes before heating and 20 minutes after heating was completed.
5. The method for measuring soil heat flux by using the distributed optical fiber according to claim 4, wherein:
In step S5, the radial heat conduction equation is specifically shown in formula (7) and formula (8):
(7);
(8);
Wherein the limitation in the formula (7) is that 0.ltoreq.t.ltoreq. The constraint in equation (8) is t >0; t is time; t 0 is the heating time of the heat source, and is set to 10 minutes;
、/> The temperature increment of the heating stage and the cooling stage respectively; r 0 is the distance from the temperature sensing optical cable B to the linear heat source optical cable; q is the thermal strength per unit time; q=q/C, C being the volumetric heat capacity of the medium; k is thermal diffusivity; e i (-x) is an exponential integral function;
The distance r 0 between the optical cables A and B is equal to the theoretical distance r 0 'obtained through agar calibration, and r 0' can be obtained by fitting formulas (7) and (8) because the thermal diffusivity and the volume heat capacity of agar are known;
Partial differentiation is carried out on parameters in a radial heat conduction equation, and the parameters in the radial heat conduction equation are enabled to be equal to zero, so that the thermal diffusivity and the volumetric heat capacity of the medium are obtained; specifically, partial differentiation is performed on the time t in the formula (7) and the formula (8), as shown in the formula (9) and the formula (10):
(9);
(10);
Wherein k is thermal diffusivity, and C is volumetric heat capacity of the medium; The maximum heating value of the optical cable B; t m is the time corresponding to the maximum temperature rise value of the optical cable B.
6. The method for measuring soil heat flux by using the distributed optical fiber according to claim 5, wherein: obtaining the thermal conductivity of the soil based on the thermal diffusivity and the volumetric heat capacity of the medium in step S5; obtained by the formula (11):
(11);
Where λ is the thermal conductivity of the soil.
7. A method of measuring soil heat flux using a distributed optical fiber as claimed in claim 6, wherein: obtaining soil thermal inertia based on soil thermal conductivity; Obtained by the formula (12):
(12)。
CN202410512099.7A 2024-04-26 2024-04-26 Method for measuring soil heat flux by using distributed optical fibers Active CN118090824B (en)

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