CN108896467B - Method and device for dynamically measuring soil porosity - Google Patents
Method and device for dynamically measuring soil porosity Download PDFInfo
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- CN108896467B CN108896467B CN201810988855.8A CN201810988855A CN108896467B CN 108896467 B CN108896467 B CN 108896467B CN 201810988855 A CN201810988855 A CN 201810988855A CN 108896467 B CN108896467 B CN 108896467B
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- 239000002689 soil Substances 0.000 title claims abstract description 98
- 238000000034 method Methods 0.000 title claims abstract description 39
- 238000005259 measurement Methods 0.000 claims abstract description 86
- 229910052704 radon Inorganic materials 0.000 claims abstract description 62
- SYUHGPGVQRZVTB-UHFFFAOYSA-N radon atom Chemical compound [Rn] SYUHGPGVQRZVTB-UHFFFAOYSA-N 0.000 claims abstract description 62
- 238000005070 sampling Methods 0.000 claims abstract description 19
- 238000004364 calculation method Methods 0.000 claims abstract description 16
- 238000009792 diffusion process Methods 0.000 claims abstract description 9
- 238000007789 sealing Methods 0.000 claims description 17
- 238000013213 extrapolation Methods 0.000 claims description 6
- 239000012528 membrane Substances 0.000 claims description 4
- 229910000831 Steel Inorganic materials 0.000 claims description 3
- 230000000694 effects Effects 0.000 claims description 3
- 239000010959 steel Substances 0.000 claims description 3
- 238000009966 trimming Methods 0.000 claims description 3
- QSHDDOUJBYECFT-UHFFFAOYSA-N mercury Chemical compound [Hg] QSHDDOUJBYECFT-UHFFFAOYSA-N 0.000 description 5
- 229910052753 mercury Inorganic materials 0.000 description 5
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 4
- 239000002245 particle Substances 0.000 description 3
- 230000005484 gravity Effects 0.000 description 2
- 238000003672 processing method Methods 0.000 description 2
- 239000006004 Quartz sand Substances 0.000 description 1
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N Silicium dioxide Chemical compound O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 231100000481 chemical toxicant Toxicity 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000008520 organization Effects 0.000 description 1
- 230000035515 penetration Effects 0.000 description 1
- 238000002459 porosimetry Methods 0.000 description 1
- 239000011148 porous material Substances 0.000 description 1
- 230000005855 radiation Effects 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 239000003440 toxic substance Substances 0.000 description 1
- 239000011800 void material Substances 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N15/00—Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
- G01N15/08—Investigating permeability, pore-volume, or surface area of porous materials
- G01N15/088—Investigating volume, surface area, size or distribution of pores; Porosimetry
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Abstract
The invention provides a method and a device for dynamically measuring soil porosity, which can calculate the soil porosity by changing the volume of a measuring device to obtain the change of the radon concentration in the measuring device under different measuring volumes by utilizing the change rule of the radon concentration in a closed-loop gas circuit measuring device. The change rule of the radon concentration in the measuring device considers the effective decay constant of the radon, wherein the decay constant, the leakage coefficient and the back diffusion coefficient of the radon are contained, the accurate soil porosity eta can be calculated, and the measuring precision is high. The method utilizes the values of n measurement periods in the measurement device to carry out nonlinear fitting, does not need to wait for the stable radon concentration in the device, saves the measurement time, has simple sampling measurement process and calculation method, reduces the measurement difficulty and saves the measurement cost.
Description
Technical Field
The invention relates to a radiation detection technology, in particular to a method and a device for dynamically measuring soil porosity.
Background
Soil porosity is the ratio of the void volume between soil particles to the total volume of soil. Soil porosity is an important indicator of the characteristics of soil. In the prior art, an empirical calculation method, a mercury penetration method, a soil volume weight and specific gravity calculation method, an image processing method, a volume difference calculation method and the like are used for measuring the soil porosity, but the methods have certain limitations and have the problems of low measurement accuracy, large error of obtained data, complex operation and the like.
The empirical calculation method is converted from indexes (natural weight, water content, relative density of soil particles and weight of water) of other soils, most of the indexes (natural weight, water content and relative density of soil particles) have errors in the measurement process, the errors in the conversion process are amplified, and the measurement steps are complicated, so that the converted data are inaccurate, and the method is suitable for laboratory operation and is not suitable for engineering field application. Mercury intrusion methods are generally used for pore size analysis of harder solids because they require pressure, use mercury porosimetry, and are not suitable for use in softer soils, which can result in the soil sample being forced out by pressure. In addition, the price of mercury and instruments is very high, the test cost is high when the method is used, and the mercury belongs to toxic chemicals and can cause harm to experimenters and the environment when being improperly used. The image processing method is high in equipment cost and use cost, is used only by an organization with good conditions, and is not always provided by a general researcher. The barometer method has long measurement period and complex operation, cannot meet the requirement of acquiring real-time information, and greatly limits the practical application of the barometer method. The soil volume weight and specific gravity meter algorithm objectively exists for different soil textures and the difference of soil grain density. And determining the density of the soil grains of different soil textures is labor-consuming and time-consuming, and the volume weight of a quartz sand sample is usually taken as a typical reference value, which virtually increases the error of the measured data.
Patent document CN107741391A discloses a method for measuring soil porosity, which obtains soil porosity by measuring soil resistivity using a relationship between resistivity and soil porosity, and this method does not destroy the original structure of soil during sampling and measuring, and can retain elements such as original density and water content of soil to the maximum extent, but this method still has complex calculation, and needs to establish a model of the relationship between soil porosity and soil resistivity, and the model is a rough estimation model, and introduces errors, which affects calculation accuracy.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provide a method and a device for dynamically measuring the porosity of soil, and the method can quickly obtain the accurate porosity of the soil by a simple calculation method. According to the method, the change rule of the radon concentration in the closed-loop gas circuit measuring device is utilized, the volume of the measuring device is changed to obtain the change of the radon concentration in the measuring device under different measuring volumes, a nonlinear fitting algorithm is applied, the porosity of the soil can be calculated without waiting for the stable radon concentration in the measuring device, and the measuring time is saved. The change rule of the radon concentration in the measuring device considers the effective decay constant of the radon, wherein the decay constant, the leakage coefficient and the back diffusion coefficient of the radon are contained, the accurate soil porosity eta can be calculated, and the measuring precision is high. The method utilizes the values of n measurement periods in the measurement device to carry out nonlinear fitting, does not need to wait for the stable radon concentration in the device, saves the measurement time, has simple sampling measurement process and calculation method, reduces the measurement difficulty and saves the measurement cost.
The specific technical scheme of the invention is as follows:
the invention provides a method for dynamically measuring soil porosity, which is characterized by comprising the following steps: including sampling processes and measurement calculation processes.
S1: the measurement process comprises the following steps:
the steel cutting ring with V-shaped cutting ring handle connected through screw thread is used to cut the natural soil to fill the soil sample. The cutter ring can not be shaken left and right to prevent the natural structure of the soil from being damaged until the cutter ring is completely pressed into the soil; then digging out the cutting ring from the soil by using a small shovel, taking down the handle, carefully trimming and flattening the edges of the two ends of the cutting ring by using a knife, and cutting off redundant soil;
after finishing, covering the upper end of the sampled cutting ring with a filter membrane, covering the lower end of the sampled cutting ring with a sealing cover, connecting a cutting ring handle through threads, and connecting a soil cutting device with a radon measuring instrument and an air pump through an air path pipeline to form a closed-loop air path measuring device;
the handle can be used for the sampling as the handle after the cutting ring handle is connected with the cutting ring, after making up into measuring device, has great space between its and the soil of cutting ring in the sampling for the air current can evenly pass through soil, evenly takes out the radon in the soil through the air current, improves the measuring accuracy.
S2, measurement and calculation:
starting the air pump, mixing the radon in the measurement system uniformly, considering leakage and back diffusion effects, and ensuring that the change rule of the radon concentration in the measurement system is as follows:
in the formula, V1Is the volume of the sampled soil; v3Measuring the total volume of the air passage of the system and the space in the emanometer; c (t) is the radon concentration in the measuring system when the time is t and the unit is Bq.m-3；λeEffective decay constant including decay constant, leakage coefficient and back diffusion coefficient of radon; eta is the porosity of the soil, which is a dimensionless number; a is the radon generation rate in the soil and the unit is Bq.m-3·s-1。
The solution of formula (1) is:
where a is an arbitrary constant.
The radon detector takes T as a measurement period, and the T is 2-20 minutes; measuring n measurement periods, wherein n is more than or equal to 3; the measurement value of each measurement cycle is considered to be the measurement value at the midpoint of the measurement cycle.
In the formula, m is a constant, the invention provides two algorithms to calculate the value of m:
algorithm 1: obtaining the value of a in the formula (2) by reverse extrapolation by using the value of the first measurement period, and then carrying out nonlinear fitting on the formula (2) by using the values of n measurement periods to obtain
The value of (d) m;
and 2, algorithm: directly utilizing the values of n measurement periods to carry out nonlinear fitting on the formula (2) to obtain
The value of (1).
Stopping the pump, and adding a volume V into the gas path of the measurement system4The cavity of (2) start the pump, with the radon misce bene, the change law of radon concentration is for in the measurement system this moment:
where a is an arbitrary constant.
The radon detector takes T as a measurement period, and the T is 2-20 minutes; measuring n measurement periods, wherein n is more than or equal to 3; the measurement value of each measurement cycle is considered to be the measurement value at the midpoint of the measurement cycle.
Wherein k is a constant.
Algorithm 1: obtaining the value of a in the formula (4) by reverse extrapolation by using the value of the first measurement period, and then carrying out nonlinear fitting on the formula (4) by using the values of n measurement periods to obtain
The value of (d) k;
and 2, algorithm: directly utilizing the values of n measurement periods to carry out nonlinear fitting on the formula (4) to obtain
The value of (d) k.
And (5) solving the relevant parameters by substituting the formula (3) and the formula (5) to obtain the porosity of the soil.
The invention further provides a device for dynamically measuring the porosity of soil, which is characterized in that:
the measuring device is a closed-loop gas circuit device and consists of a soil cutting device, a sealing cover, an air pump and a radon detector which are connected through a gas circuit pipeline;
the soil cutting device consists of a cutting ring handle and a cutting ring. The circular knife is characterized in that an annular opening cavity is formed in one end of the circular knife handle, a step hole is formed in the port of the annular opening cavity, an internal thread connected with the circular knife is arranged at the port of the step hole, a central hole is formed in the center of the bottom of the annular opening cavity, a straight-through pipe communicated with the central hole is welded at the other end of the circular knife handle, a straight-through pipe handle with one closed end and one open end is welded at the other end of the straight-through pipe, and an exhaust hole in the straight-through pipe handle is. The straight pipe handle exhaust hole is connected with one end of an air pump through an air path pipeline, the other end of the air pump is connected with one end of a radon measuring instrument through an air path pipeline, and the other end of the radon measuring instrument is connected with a straight pipe on the sealing cover through an air path pipeline.
One end of the cutting ring is provided with a cutting edge, and the other end of the cutting ring is provided with an external thread connected with a cutting ring handle.
The sealing cover is provided with a sealing gasket, a center hole is formed in the center of the sealing cover, a straight-through pipe is welded in the center hole and connected with a radon detector through a gas path pipeline, and the sealing cover covers one end, with a knife edge, of the cutting ring.
The external thread is not higher than the external surface of the cutting ring.
The joint of the cutting ring handle and the cutting ring is an inclined plane.
The utility model discloses a measuring device, including cutting ring handle, annular opening chamber, measuring device, air current, can be used for the sampling as the handle after cutting ring handle is connected with the cutting ring, sets up annular opening chamber on the cutting ring handle, after making up into measuring device, has great space between its and the soil of sampling in the cutting ring for the air current can evenly pass through soil, evenly takes out the radon in the soil through the air current, improves measuring accuracy.
Compared with the prior art, the invention has the following characteristics:
1. the method utilizes the change rule of the radon concentration in the closed-loop gas circuit measuring device to establish a change rule formula, changes the volume of the measuring device to obtain the change of the radon concentration in the measuring device under different measuring volumes, and calculates to obtain the soil porosity eta. In the method provided by the invention, the effective decay constant of the radon is considered by the change rule formula of the radon concentration in the measuring device, wherein the effective decay constant, the leakage coefficient and the back diffusion coefficient of the radon are included, and the more accurate soil porosity eta can be calculated.
2. The method utilizes the values of n measurement periods in the measurement device to carry out nonlinear fitting, does not need to wait for the stable radon concentration in the device, saves the measurement time, has simple sampling measurement process and calculation method, reduces the measurement difficulty and saves the measurement cost.
3. The connecting part of the cutting ring handle and the cutting ring is an inclined plane, so that the cutting ring can be conveniently sampled, the force is exerted more uniformly during sampling, and the left-right shaking is avoided, so that the natural structure of the soil is not damaged.
4. The handle can be used for the sampling as the handle after the cutting ring handle is connected with the cutting ring, after making up into measuring device, has great space between its and the soil of cutting ring in the sampling for the air current can evenly pass through soil, evenly takes out the radon in the soil through the air current, improves the measuring accuracy.
Drawings
FIG. 1 is a schematic view of a measuring device according to the present invention;
FIG. 2 is a schematic view of the soil cutting device;
3 FIG. 3 3 3 is 3 a 3 cross 3- 3 sectional 3 view 3 taken 3 along 3 line 3 A 3- 3 A 3 of 3 FIG. 3 2 3; 3
FIG. 4 is a schematic view of the structure of the handle of the cutting ring;
FIG. 5 is a cross-sectional view taken along line B-B of FIG. 4;
FIG. 6 is a schematic structural view of a cutting ring;
FIG. 7 is a cross-sectional view taken at C-C of FIG. 6;
FIG. 8 is a schematic view of the sealing cap;
fig. 9 is a cross-sectional view taken along line D-D of fig. 8.
Wherein: the device comprises a soil cutting device 1, an air pump 2, a radon measuring instrument 3, soil 4, a filter membrane 5, a sealing cover 6, a gas path pipeline 7, a cutting ring handle 1-1, a cutting ring 1-2, an annular opening cavity 1-1, a stepped hole 1-1-2, an internal thread 1-1-3, a central hole 1-1-4, a straight-through pipe 1-1-5, a straight pipe 1-1-6, a straight pipe handle 1-2-1, an external thread 1-2, a central hole 6-1 and a straight-through pipe 6-2.
Detailed Description
The invention is further described below with reference to the accompanying drawings and the detailed description.
The invention provides a method for dynamically measuring soil porosity, which is characterized by comprising the following steps: including sampling processes and measurement calculation processes.
S1, sampling process:
the soil in a natural state is cut by using a steel cutting ring 1-2 which is connected with a cutting ring handle 1-1 through threads and has a V volume, so that a soil sample is filled in the soil sample. The left and right shaking is not allowed, so that the natural structure of the soil is not damaged until the cutting ring 1-2 is completely pressed into the soil. Then digging out the cutting ring 1-2 from the soil by a small shovel, taking down the handle 1-1 of the cutting ring, carefully trimming and flattening the edges of the two ends of the cutting ring 1-2 by a knife, and cutting off the redundant soil.
After finishing, the upper end of the sampling cutting ring 1-2 is covered with a filter membrane 5, the lower end is covered with a sealing cover 6, then the cutting ring handle 1-1 is connected through screw threads to form a soil cutting device 1, and the soil cutting device 1 is connected with a radon measuring instrument 3 and an air pump 2 through an air passage pipeline 7 to form a closed-loop air passage measuring device.
The cutting ring handle 1-1 and the cutting ring 1-2 can be used as a handle for sampling after being connected, after the measuring device is combined, a larger gap is formed between the cutting ring handle and soil sampled in the cutting ring 1-2, so that air flow can uniformly pass through the soil, radon in the soil is uniformly brought out through the air flow, and the measuring accuracy is improved.
S2, measurement and calculation:
starting the air pump 2, uniformly mixing the radon in the measurement system, considering leakage and back diffusion effects, and ensuring that the change rule of the radon concentration in the measurement system is as follows:
in the formula, V1Is the volume of the sampled soil; v3The total volume of the air passage of the measuring device and the space in the emanometer is measured; c (t) is the radon concentration in the measuring system when the time is t, Bq.m-3；λeThe effective decay constant includes the decay constant of radon, the leakage coefficient and the back diffusion coefficient.
The solution of formula (1) is:
where a is an arbitrary constant.
The radon detector takes T as a measurement period, and the T is 2-20 minutes; measuring n measurement periods, wherein n is more than or equal to 3; the measurement value of each measurement cycle is considered to be the measurement value at the midpoint of the measurement cycle.
Wherein m is a constant.
Algorithm 1: obtaining the value of a in the formula (2) by reverse extrapolation by using the value of the first measurement period, and then carrying out nonlinear fitting on the formula (2) by using the values of n measurement periods to obtain
The value of (m):
and 2, algorithm: directly utilizing the values of n measurement periods to carry out nonlinear fitting on the formula (2) to obtain
The value of (1).
Stopping the air pump 2, and adding a volume V into the air path of the measuring device4The cavity, start air pump 2, with the radon misce bene, the change law of radon concentration is in measuring device this moment:
where a is an arbitrary constant.
The radon detector takes T as a measurement period, and the T is 2-20 minutes; measuring n measurement periods, wherein n is more than or equal to 3; the measurement value of each measurement cycle is considered to be the measurement value at the midpoint of the measurement cycle.
Wherein k is a constant.
Algorithm 1: obtaining the value of a in the formula (4) by reverse extrapolation by using the value of the first measurement period, and then carrying out nonlinear fitting on the formula (4) by using the values of n measurement periods to obtain
The value of k:
and 2, algorithm: directly utilizing the values of n measurement periods to carry out nonlinear fitting on the formula (5) to obtain
The value of (d) k.
And (3) substituting the relevant parameters into the formula (3) and the formula (5) to solve, so as to obtain the soil porosity eta.
The invention further provides a device for dynamically measuring the porosity of soil, which is characterized in that:
the measuring device is a closed-loop gas circuit device and is formed by connecting a soil cutting device 1, an air pump 2, a radon detector 3 and a sealing cover 6 through a gas circuit pipeline 7;
the straight pipe type radon measuring device is characterized in that the straight pipe handle 1-1-6 exhaust holes in the soil cutting device 1 are connected with one end of an air pump 2 through an air path pipeline 7, the other end of the air pump 2 is connected with one end of a radon measuring instrument 3 through the air path pipeline 7, and the other end of the radon measuring instrument 3 is connected with a straight pipe 6-2 on a sealing cover 6 through the air path pipeline 7.
The soil cutting device 1 consists of a cutting ring handle 1-1 and a cutting ring 1-2. One end of the circular knife handle 1-1 is provided with an annular opening cavity 1-1-1, the port of the annular opening cavity 1-1-1 is provided with a step hole 1-1-2, the port of the step hole 1-1-2 is provided with an internal thread 1-1-3 connected with the circular knife 1-2, the center of the bottom of the annular opening cavity 1-1-1 is provided with a central hole 1-1-4, the other end of the circular knife handle 1-1 is welded with a straight-through pipe 1-1-5 communicated with the central hole 1-1-4, the other end of the straight-through pipe 1-1-5 is welded with a straight pipe handle 1-1-6 with one end closed and one end open, and an exhaust hole on the straight pipe handle 1-1-6 is communicated with an inner hole of the straight-through pipe 1-1-5. One end of the cutting ring 1-2 is provided with a cutting edge 1-2-1, and the other end of the cutting ring 1-2 is provided with an external thread 1-2-2 connected with the cutting ring handle 1-1.
The sealing cover 6 is provided with a sealing gasket, a center hole 6-1 is formed in the center of the sealing cover 6, a straight-through pipe 6-2 is welded in the center hole, the straight-through pipe 6-2 is connected with a radon measuring instrument 3 through an air channel pipeline 7, and the sealing cover 6 covers one end, provided with a knife edge 1-2-1, of the cutting ring 1-2.
The cutting ring handle 1-1 and the cutting ring 1-2 can be used as a handle for sampling after being connected.
The external thread 1-2-2 is not higher than the external surface of the cutting ring 1-2.
The joint of the cutting ring handle 1-1 and the cutting ring 1-2 is an inclined plane.
The annular opening cavity 1-1-1 arranged on the cutting ring handle 1-1 has the function that a larger gap is formed between the annular opening cavity and soil sampled in the cutting ring 1-2, so that air flow can uniformly pass through the soil, radon in the soil is uniformly brought out through the air flow, and the measurement accuracy is improved.
Although the preferred embodiments of the present patent have been described in detail, the present patent is not limited to the above embodiments, and various changes can be made without departing from the spirit of the present patent within the knowledge of those skilled in the art.
Claims (1)
1. A method for dynamically measuring the porosity of soil is characterized in that: including a sampling process and a measurement calculation process,
s1, sampling process:
cutting natural soil by using a steel cutting ring (1-2) which is connected with a cutting ring handle (1-1) and has a V volume through threads to fill a soil sample; the left and right shaking is not allowed, so that the natural structure of the soil is not damaged until the cutting ring (1-2) is completely pressed into the soil; then digging out the cutting ring (1-2) from the soil by using a small shovel, taking down a handle (1-1) of the cutting ring, carefully trimming and flattening the edges of the two ends of the cutting ring (1-2) by using a knife, and cutting off redundant soil;
after finishing, covering the upper end of the sampled cutting ring (1-2) with a filter membrane (5), covering the lower end of the sampled cutting ring (1-2) with a sealing cover (6), connecting a cutting ring handle (1-1) through threads to form a soil cutting device (1), and connecting the soil cutting device (1) with a radon measuring instrument (3) and an air pump (2) through an air path pipeline (7) to form a closed loop air path measuring device;
s2, measurement and calculation:
starting the air pump (2), uniformly mixing the radon in the measuring system, considering leakage and back diffusion effects, and ensuring that the change rule of the radon concentration in the measuring system is as follows:
in the formula, V1Is the volume of the sampled soil; v3The total volume of the air passage of the measuring device and the space in the emanometer is measured; c (t) is the radon concentration in the measuring system when the time is t and the unit is Bq.m-3；λeEffective decay constant including decay constant, leakage coefficient and back diffusion coefficient of radon;
the solution of formula (1) is:
wherein a is an arbitrary constant;
the radon detector takes T as a measurement period, and the T is 2-20 minutes; measuring n measurement periods, wherein n is more than or equal to 3; the measured value of each measurement cycle is regarded as the measured value of the midpoint of the measurement cycle;
in the formula, m is a constant, and the value of m is calculated by adopting any one of the following algorithms:
algorithm 1: obtaining the value of a in the formula (2) by reverse extrapolation by using the value of the first measurement period, and then carrying out nonlinear fitting on the formula (2) by using the values of n measurement periods to obtain
The value of (d) m;
and 2, algorithm: directly utilizing the values of n measurement periods to carry out nonlinear fitting on the formula (2) to obtain
The value of (d) m;
stopping the air pump 2, and adding a volume V into the air path of the measuring device4The cavity, start air pump (2), with the radon misce bene, the change law of radon concentration is this moment in the measuring device:
wherein a is an arbitrary constant;
the radon detector takes T as a measurement period, and the T is 2-20 minutes; measuring n measurement periods, wherein n is more than or equal to 3; the measured value of each measurement cycle is regarded as the measured value of the midpoint of the measurement cycle;
in the formula, k is a constant, and the value of k is calculated by adopting any one of the following algorithms:
algorithm 1: obtaining the value of a in the formula (4) by reverse extrapolation by using the value of the first measurement period, and then carrying out nonlinear fitting on the formula (4) by using the values of n measurement periods to obtain
The value of (d) k;
and 2, algorithm: directly utilizing the values of n measurement periods to carry out nonlinear fitting on the formula (5) to obtain
The value of (d) k;
and (3) substituting the relevant parameters into the formula (3) and the formula (5) to solve, so as to obtain the soil porosity eta.
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| CN109060633B (en) * | 2018-09-14 | 2019-06-28 | 衡阳师范学院 | A kind of method and device of static measurement porosity of soil |
| CN110595976B (en) * | 2019-08-07 | 2021-06-15 | 中国水利水电科学研究院 | Experimental device and method for rapidly measuring porosity of soil in field |
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