CN106918624B - Unfrozen water content calculation method based on thermal conductivity of frozen soils - Google Patents
Unfrozen water content calculation method based on thermal conductivity of frozen soils Download PDFInfo
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- 239000002689 soil Substances 0.000 title claims abstract description 142
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 58
- 238000004364 calculation method Methods 0.000 title claims abstract description 24
- 238000000034 method Methods 0.000 claims abstract description 18
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- 230000008014 freezing Effects 0.000 description 2
- 238000007710 freezing Methods 0.000 description 2
- 230000008569 process Effects 0.000 description 2
- 230000009466 transformation Effects 0.000 description 2
- 238000005481 NMR spectroscopy Methods 0.000 description 1
- 239000004927 clay Substances 0.000 description 1
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
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- G01N25/56—Investigating or analyzing materials by the use of thermal means by investigating moisture content
- G01N25/58—Investigating or analyzing materials by the use of thermal means by investigating moisture content by measuring changes of properties of the material due to heat, cold or expansion
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- G—PHYSICS
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N25/00—Investigating or analyzing materials by the use of thermal means
- G01N25/20—Investigating 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
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Abstract
The present invention provides a kind of unfrozen water content calculation method based on thermal conductivity of frozen soils, and this method includes that measurement dry density is ρdThermal coefficient λ of the saturation frozen soil sample under subzero temperature, will thermal coefficient k of the measurement dry ground sample under subzero temperature after soil sample dryings；Conversion is done close for ρd；Soil skeleton specific gravity of the total volume in frozen soil；It calculates in frozen soil and does not freeze the volume ratio that water accounts for frozen soil；Soil skeleton, ice body in frozen soil account for the specific gravity of gross mass；Calculate unfrozen water content W in frozen soilu.Effect of the invention is that this method has the features such as intuitive, calculating is convenient, provides a kind of means to calculate content of unfrozen water in frozen earth.By comparing calculation and measured value, the prediction error of the calculation method is within 12.2%.The raising of precision can promote the computational accuracy of content of unfrozen water in frozen earth to greatest extent, provide convenience for the Temperature calculating in frozen soil engineering.
Description
Technical field
Do not freeze water calculating field the invention belongs to frozen soil engineering field, it is especially a kind of based on thermal conductivity of frozen soils not
Freeze water content calculation method, can be used for obtaining the unfrozen water content of frozen soil under the premise of known thermal conductivity of frozen soils.
Background technique
Content of unfrozen water in frozen earth is the important evidence that Temperature Field of Permafrost latent heat of phase change calculates, and is that frozen soil thermal parameter is negative with difference
The major reason of temperature variation.The unfrozen water content of frozen soil is also the important indicator for evaluating frozen soil freezing strength, is in research frozen soil
The key of water translocation.In frozen soils temperature field prediction, the determination of content of unfrozen water in frozen earth, design and construction tool to temperature field
There is important value.
Current content of unfrozen water in frozen earth determines that method has measurement method, the Inversion Calculation method based on specific heat.Studies have shown that real
Survey method is influenced vulnerable to the disturbance characteristic and instrumental effect of frozen soil, and there are significant differences for precision.The patent No. 201510749173.8 is public
Cloth is a kind of to calculate the method for determining unfrozen water content in native freezing process using specific heat, and conventional calorimetric method of mixture measures frozen soil
Heat is easy to lose during specific heat, and test specific heat precision is difficult to ensure；In addition latent heat is superimposed with segmented version into test specific heat,
Generally there are 10%~70% errors for the content of unfrozen water in frozen earth of inverting.Thus, it succinctly, is intuitively based on there is an urgent need to a kind of
Thermal conductivity of frozen soils does not freeze water calculation method, this has important value to the Temperature calculating precision for promoting frozen soil engineering.
Summary of the invention
Mesh of the present invention is to provide a kind of unfrozen water content calculation method based on thermal conductivity of frozen soils, in favor of phase in frozen soil
The calculating for becoming latent heat, realizes the direct calculating of content of unfrozen water in frozen earth.
To achieve the above object, the present invention proposes a kind of not freeze water calculation method, this method based on thermal conductivity of frozen soils
The following steps are included:
1) measurement dry density is ρdThermal coefficient λ of the saturation frozen soil sample under subzero temperature, by the saturation frozen soil sample
Thermal coefficient k of the measurement under subzero temperature after dryings；
2) according to formula (1) scaling step 1) dry density is ρdSaturation frozen soil sample in soil skeleton volume content Vs,
Formula (1) are as follows:
In formula, VsFor the volume of soil skeleton in saturation frozen soil sample；ρdFor the dry density for being saturated frozen soil sample；dsFor saturation
The relative density of soil skeleton in frozen soil sample；V is saturation frozen soil sample total volume；
3) it is saturated the volume ratio that soil skeleton accounts for saturation frozen soil sample in frozen soil sample to calculate according to formula (2), formula (2) is
In formula, VsFor the volume of soil skeleton in saturation frozen soil sample；V is saturation frozen soil sample total volume；
4) volume ratio that do not freeze water and account for saturation frozen soil sample is calculated according to formula (3), formula (3) is
In formula, pSThe volume ratio of saturation frozen soil sample is accounted for for soil skeleton in saturation frozen soil sample；ks、kw、kiRespectively it is saturated
The thermal coefficient of soil skeleton, water, ice body in frozen soil sample, wherein ksIt is obtained according to step 1) test；
5) soil skeleton, ice body in frozen soil sample are saturated and accounts for the mass ratio of saturation frozen soil sample respectively according to formula (4) and formula (5)
It is calculated, formula (4) and formula (5) are
6) it is saturated unfrozen water content W in frozen soil sampleuIt is calculated according to formula (6), wherein formula (6) are as follows:
In formula, mS、miRespectively it is saturated the mass ratio that soil skeleton, ice body in frozen soil sample account for saturation frozen soil sample；ρi、ds
The relative density of soil skeleton respectively in the density of ice body and saturation frozen soil sample；pwNot freeze the body that water accounts for saturation frozen soil sample
Product ratio, is calculated according to formula (3)；The unfrozen water content of saturation frozen soil is obtained according to this method, is dived to calculate the phase transformation of frozen soil
Heat is laid a good foundation.
Effect of the invention is that this method has the features such as intuitive, calculating is convenient, is provided to calculate content of unfrozen water in frozen earth
A kind of means.By comparing calculation and measured value, the prediction error of the calculation method is within 12.2%.The raising of error precision
The computational accuracy of content of unfrozen water in frozen earth can be promoted to greatest extent, provide convenience for the Temperature calculating in frozen soil engineering.
Detailed description of the invention
Fig. 1 is the content of unfrozen water in frozen earth curve graph that distinct methods of the invention obtain.
In figure:
1. the unfrozen water content calculation method based on thermal conductivity of frozen soils
2. the 3. content of unfrozen water in frozen earth measured value of content of unfrozen water in frozen earth that specific heat determines
Specific embodiment
The unfrozen water content calculation method of the invention based on thermal conductivity of frozen soils is illustrated in conjunction with attached drawing.
Unfrozen water content calculation method principle based on thermal conductivity of frozen soils of the invention: the three-phase group based on saturation frozen soil
At foundation geometric average method derives thermal coefficient calculation method, is proposed on this basis based on thermal conductivity of frozen soils
Unfrozen water content calculation method.
Unfrozen water content calculation method provided by the invention based on thermal conductivity of frozen soils, method includes the following steps:
1) measurement dry density is ρdThermal coefficient λ of the saturation frozen soil sample under subzero temperature, by the saturation frozen soil sample
Thermal coefficient k of the measurement under subzero temperature after dryings；
2) according to formula (1) scaling step 1) dry density is ρdSaturation frozen soil sample in soil skeleton volume content Vs,
Formula (1) are as follows:
In formula, VsFor the volume of soil skeleton in saturation frozen soil sample；ρdFor the dry density for being saturated frozen soil sample；dsFor saturation
The relative density of soil skeleton in frozen soil sample；V is saturation frozen soil sample total volume；
3) it is saturated the volume ratio that soil skeleton accounts for saturation frozen soil sample in frozen soil sample to calculate according to formula (2), formula (2) is
In formula, VsFor the volume of soil skeleton in saturation frozen soil sample；V is saturation frozen soil sample total volume；
4) volume ratio that do not freeze water and account for saturation frozen soil sample is calculated according to formula (3), formula (3) is
In formula, pSThe volume ratio of saturation frozen soil sample is accounted for for soil skeleton in saturation frozen soil sample；ks、kw、kiRespectively it is saturated
The thermal coefficient of soil skeleton, water, ice body in frozen soil sample, wherein ksIt is obtained according to step 1) test；
5) soil skeleton, ice body in frozen soil sample are saturated and accounts for the mass ratio of saturation frozen soil sample respectively according to formula (4) and formula (5)
It is calculated, formula (4) and formula (5) are
6) it is saturated unfrozen water content W in frozen soil sampleuIt is calculated according to formula (6), wherein formula (6) are as follows:
In formula, mS、miRespectively it is saturated the mass ratio that soil skeleton, ice body in frozen soil sample account for saturation frozen soil sample；ρi、ds
The relative density of soil skeleton respectively in the density of ice body and saturation frozen soil sample；pwNot freeze the body that water accounts for saturation frozen soil sample
Product ratio, is calculated according to formula (3)；The unfrozen water content of saturation frozen soil is obtained according to this method, is dived to calculate the phase transformation of frozen soil
Heat is laid a good foundation.
By determining that dry density is 1.8g/cm3, dsFor the thermally conductive system of 2.72 silty clay sample T under different subzero temperatures
Number does not freeze water calculation method based on thermal conductivity of frozen soils using proposition, and calculating obtains its frozen soil under different subzero temperatures
Unfrozen water content Wu.And the frozen soil that the content of unfrozen water in frozen earth 1 that the calculation method of proposition obtains is determined with specific heat respectively is not frozen
Water content 2, actual measurement content of unfrozen water in frozen earth 3 compare, as shown in Figure 1, curve 1 is based on thermal conductivity of frozen soils in Fig. 1
Unfrozen water content calculation method, curve 2 be specific heat determine content of unfrozen water in frozen earth, curve 3 be tested using nuclear magnetic resonance
The content of unfrozen water in frozen earth measured value that method obtains, WuAxis indicates that content of unfrozen water in frozen earth, T axis indicate the temperature of saturation frozen soil sample
Degree.Error is shown in Table 1.
The relative error of content of unfrozen water in frozen earth and measured value that 1 different calculation methods of table obtain
As shown in Table 1, proposition calculation method obtain content of unfrozen water in frozen earth 1 between 0 DEG C~-20 DEG C error compared with than
The content of unfrozen water in frozen earth that heat determines is smaller.
The foregoing is merely being illustrated in conjunction with this calculating process, for those skilled in the art, the present invention
Can there are various change and change.Within all spirit and principle according to the present invention, any modification, equivalent replacement, improvement
Deng should all be included in the protection scope of the present invention.
Claims (1)
1. a kind of unfrozen water content calculation method based on thermal conductivity of frozen soils, method includes the following steps:
1) measurement dry density is ρdThermal coefficient λ of the saturation frozen soil sample under subzero temperature, after the saturation frozen soil sample drying
Measure the thermal coefficient k under subzero temperatures；
2) according to formula (1) scaling step 1) described in dry density be ρdSaturation frozen soil sample in soil skeleton volume content Vs, formula
(1) are as follows:
In formula, VsFor the volume of soil skeleton in saturation frozen soil sample；ρdFor the dry density for being saturated frozen soil sample；dsTo be saturated frozen soil
The relative density of soil skeleton in sample；V is saturation frozen soil sample total volume；
3) it is saturated the volume ratio that soil skeleton accounts for saturation frozen soil sample in frozen soil sample to calculate according to formula (2), formula (2) is
In formula, VsFor the volume of soil skeleton in saturation frozen soil sample；V is the total volume for being saturated frozen soil sample；
4) volume ratio that do not freeze water and account for saturation frozen soil sample is calculated according to formula (3), formula (3) is
In formula, pSThe volume ratio of saturation frozen soil sample is accounted for for soil skeleton in saturation frozen soil sample；ks、kw、kiRespectively it is saturated frozen soil
The thermal coefficient of soil skeleton, water, ice body in sample, wherein ksIt is obtained according to step 1) test；
5) mass ratio that soil skeleton, ice body account for saturation frozen soil sample in frozen soil sample is saturated to calculate according to formula (4) and formula (5) respectively
It obtains, formula (4) and formula (5) are
6) it is saturated unfrozen water content W in frozen soil sampleuIt is calculated according to formula (6), wherein formula (6) are as follows:
In formula, mS、miRespectively it is saturated the mass ratio that soil skeleton, ice body in frozen soil sample account for saturation frozen soil sample；ρi、dsRespectively
The relative density of soil skeleton in the density and saturation frozen soil sample of ice body；pwNot freeze the volume ratio that water accounts for saturation frozen soil sample,
It is calculated according to formula (3).
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| CN107402227B (en) * | 2017-07-14 | 2019-07-02 | 天津城建大学 | The measuring and calculation method of soil body mineral thermal coefficient |
| CN107966473B (en) * | 2017-12-08 | 2019-12-10 | 天津城建大学 | Model frozen soil thermal parameter calculation method based on similarity theory |
| CN108549617B (en) * | 2018-04-18 | 2021-06-29 | 天津城建大学 | Frozen soil phase change latent heat calculation method considering non-linear change of unfrozen water content |
| CN109916949B (en) * | 2019-03-27 | 2021-07-20 | 天津城建大学 | Heat conductivity coefficient calculation method suitable for saturated frozen soil |
| CN113419044B (en) * | 2021-06-02 | 2022-03-22 | 中国科学院西北生态环境资源研究院 | Method for calculating unfrozen water content of frozen soil based on clay diffusion layer ion concentration gradient |
| CN113533421B (en) * | 2021-07-15 | 2024-03-19 | 安徽水安建设集团股份有限公司 | Frozen soil heat conductivity coefficient test correction method |
| CN114924057A (en) * | 2022-05-19 | 2022-08-19 | 中国水利水电科学研究院 | Method for obtaining frozen soil type in period, computer equipment and storage medium |
| CN115047032B (en) * | 2022-05-27 | 2024-05-24 | 中国建筑第二工程局有限公司 | Calculation method for unfrozen water content of frozen soil by considering initial water content |
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| CN103091226A (en) * | 2013-01-16 | 2013-05-08 | 太原理工大学 | Device and method for detecting porosity of saturated soil |
| CN105116453A (en) * | 2015-08-14 | 2015-12-02 | 中国石油天然气股份有限公司 | Transient electromagnetic exploration method and apparatus for tundra natural gas hydrate |
| CN105973746A (en) * | 2016-01-25 | 2016-09-28 | 天津城建大学 | Apparatus for testing unfrozen water content of frozen soil, and method thereof |
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| CN103091226A (en) * | 2013-01-16 | 2013-05-08 | 太原理工大学 | Device and method for detecting porosity of saturated soil |
| CN105116453A (en) * | 2015-08-14 | 2015-12-02 | 中国石油天然气股份有限公司 | Transient electromagnetic exploration method and apparatus for tundra natural gas hydrate |
| CN105973746A (en) * | 2016-01-25 | 2016-09-28 | 天津城建大学 | Apparatus for testing unfrozen water content of frozen soil, and method thereof |
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| 基于未冻水含量的冻土热参数计算分析;陈之祥等;《岩土力学》;20141130;第38卷(第增刊2期);全文 |
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