CN116482001A - Determination and influence assessment method for soil mass macro-micro pore demarcation aperture - Google Patents
Determination and influence assessment method for soil mass macro-micro pore demarcation aperture Download PDFInfo
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- 239000002689 soil Substances 0.000 title claims abstract description 290
- 239000011148 porous material Substances 0.000 title claims abstract description 204
- 238000000034 method Methods 0.000 title claims abstract description 55
- 239000007788 liquid Substances 0.000 claims abstract description 141
- 238000006243 chemical reaction Methods 0.000 claims abstract description 45
- 230000009545 invasion Effects 0.000 claims abstract description 10
- 238000012417 linear regression Methods 0.000 claims description 76
- 230000008859 change Effects 0.000 claims description 22
- 239000012530 fluid Substances 0.000 claims description 22
- 238000005056 compaction Methods 0.000 claims description 11
- 230000009466 transformation Effects 0.000 claims description 11
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 11
- 238000009736 wetting Methods 0.000 claims description 4
- 238000011156 evaluation Methods 0.000 claims 1
- 238000004088 simulation Methods 0.000 abstract description 8
- 238000000418 atomic force spectrum Methods 0.000 abstract description 7
- 230000035699 permeability Effects 0.000 abstract description 7
- 238000012216 screening Methods 0.000 abstract description 5
- 230000009286 beneficial effect Effects 0.000 abstract description 3
- QSHDDOUJBYECFT-UHFFFAOYSA-N mercury Chemical compound [Hg] QSHDDOUJBYECFT-UHFFFAOYSA-N 0.000 description 12
- 229910052753 mercury Inorganic materials 0.000 description 12
- 230000008569 process Effects 0.000 description 7
- IJGRMHOSHXDMSA-UHFFFAOYSA-N Atomic nitrogen Chemical compound N#N IJGRMHOSHXDMSA-UHFFFAOYSA-N 0.000 description 6
- 229910000278 bentonite Inorganic materials 0.000 description 6
- 229940092782 bentonite Drugs 0.000 description 6
- 239000000440 bentonite Substances 0.000 description 6
- SVPXDRXYRYOSEX-UHFFFAOYSA-N bentoquatam Chemical compound O.O=[Si]=O.O=[Al]O[Al]=O SVPXDRXYRYOSEX-UHFFFAOYSA-N 0.000 description 6
- 229910000281 calcium bentonite Inorganic materials 0.000 description 6
- 238000010586 diagram Methods 0.000 description 6
- 238000011160 research Methods 0.000 description 5
- 150000001768 cations Chemical class 0.000 description 3
- 238000002474 experimental method Methods 0.000 description 3
- 230000008014 freezing Effects 0.000 description 3
- 238000007710 freezing Methods 0.000 description 3
- 229910052757 nitrogen Inorganic materials 0.000 description 3
- 239000002699 waste material Substances 0.000 description 3
- 239000011575 calcium Substances 0.000 description 2
- 238000004590 computer program Methods 0.000 description 2
- 230000001186 cumulative effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 239000002245 particle Substances 0.000 description 2
- 238000003825 pressing Methods 0.000 description 2
- 230000008961 swelling Effects 0.000 description 2
- 239000003463 adsorbent Substances 0.000 description 1
- 230000004888 barrier function Effects 0.000 description 1
- 230000008901 benefit Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- ONCZQWJXONKSMM-UHFFFAOYSA-N dialuminum;disodium;oxygen(2-);silicon(4+);hydrate Chemical compound O.[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[Na+].[Na+].[Al+3].[Al+3].[Si+4].[Si+4].[Si+4].[Si+4] ONCZQWJXONKSMM-UHFFFAOYSA-N 0.000 description 1
- 238000001035 drying Methods 0.000 description 1
- 239000003344 environmental pollutant Substances 0.000 description 1
- 239000007789 gas Substances 0.000 description 1
- 239000003673 groundwater Substances 0.000 description 1
- 229910001385 heavy metal Inorganic materials 0.000 description 1
- 230000008595 infiltration Effects 0.000 description 1
- 238000001764 infiltration Methods 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 230000005012 migration Effects 0.000 description 1
- 238000013508 migration Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 231100000719 pollutant Toxicity 0.000 description 1
- 238000002459 porosimetry Methods 0.000 description 1
- 230000002285 radioactive effect Effects 0.000 description 1
- 239000010865 sewage Substances 0.000 description 1
- 239000011734 sodium Substances 0.000 description 1
- 229910000280 sodium bentonite Inorganic materials 0.000 description 1
- 229940080314 sodium bentonite Drugs 0.000 description 1
- 238000001179 sorption measurement Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Classifications
-
- 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
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/18—Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
Abstract
The invention relates to the field of soil mechanics simulation, and provides a method for determining the boundary aperture of macro-micro pores of a soil body, which comprises the following steps: providing a soil body sample of a macro-micro pore demarcation aperture to be defined; after fixing the macro-microstructure of the soil sample, applying a liquid inlet pressure to press the invasion liquid into the fixed soil sample; combining the characteristics of the invading liquid and the pressure of the inlet liquid to construct a first conversion model; collecting data information when the invasive liquid is pressed into the soil body sample, and obtaining a second conversion model of the inlet pressure and the fractal dimension by utilizing the data information; constructing a corresponding model of the fractal dimension and the pore diameter by combining the first conversion model with the second conversion model; and determining the macro-micro pore demarcation aperture of the soil body sample according to the corresponding model. The invention provides accurate data reference for predicting soil strength, expansion force curve, permeability curve and the like of the soil by using the soil macro-micro pore demarcation aperture simulation, and is beneficial to screening out the soil suitable for practical engineering application.
Description
Technical Field
The invention relates to the field of soil mechanics simulation, in particular to a method for determining and evaluating influences of a boundary aperture of a soil mass macro-micro pore.
Background
The pore size distribution of the soil body characterizes the existence of pore size in the soil body, probability density distribution corresponding to different pore sizes and the ratio of the pore sizes. The pore diameter of the soil body, namely the pore size, is related to the compactness of the soil body and is also related to the suction force of the soil body. The macro-aperture pores of the soil sample with low compactness are distributed more, and the soil particles are arranged more tightly due to the fact that the soil sample with low compactness is continuously compacted by external work, and the soil sample with medium and high compactness is formed, so that the macro-aperture pores of the soil sample are greatly reduced.
The pore size and distribution in the soil body have important influence on the mechanical properties of the soil body and the permeability and adsorptivity of liquid and gas flowing through the soil body. For example, in highly radioactive nuclear waste disposal bins, the pore size distribution of bentonite of varying compaction and soil suction has different effects on the migration rate of potentially leaking nuclides, on the adsorption strength, and on the rate of infiltration of surrounding groundwater into the nuclear waste disposal tank. In general, two dominant pore diameters exist in a compacted soil body, and the dominant pore diameter is mainly the macroscopic pore diameter under the condition of lower compaction degree, namely lower dry density; in the case of higher compactibility, the micro pore size is mainly dominant, but the boundary between the macro pore size and the micro pore size is not clearly defined at present.
The boundary line of the current macroscopic and microscopic aperture (boundary aperture of the soil body macroscopic and microscopic aperture) is mainly judged according to PSD (pore size distribution, aperture distribution) of the soil body, but the subjectivity of the judging method is strong, and the obtained boundary line data have larger errors compared with the actual boundary line, so that the data such as soil body strength, expansion force curve, permeability curve and the like which are predicted by the subsequent simulation of the soil body macroscopic and microscopic aperture boundary aperture are inaccurate, and the soil body which is screened by utilizing the predicted data and applied to the actual engineering is not in line with the actual benefit, and the engineering progress is affected.
Disclosure of Invention
Aiming at the defects of a method for determining the boundary between the macroscopic aperture and the microscopic aperture of a soil body in the prior art and the requirements of practical engineering application, the invention provides a method for determining the boundary aperture of the macroscopic and microscopic aperture of the soil body, which comprises the following steps: providing a soil body sample of a macro-micro pore demarcation aperture to be defined; fixing the macro-microstructure of the soil body sample; providing an invasion liquid, and applying an invasion liquid force to press the invasion liquid into a fixed soil sample; utilizing the characteristics of the invasion liquid and combining the inlet liquid pressure to construct a first conversion model of the inlet liquid pressure and the pore diameter; collecting data information when the invasive liquid is pressed into the soil body sample, and obtaining a second conversion model of the inlet pressure and the fractal dimension by utilizing the data information; constructing a corresponding model of fractal dimension and pore diameter by combining the first conversion model with the second conversion model; and determining the macro-micro pore demarcation aperture of the soil body sample according to the corresponding model. According to the invention, the pore diameter condition of the internal pore of the soil body sample is explored by combining the invasive liquid and the inlet pressure, the inlet pressure is used as an intermediate variable to construct a corresponding model between the fractal dimension and the pore diameter of the soil body sample, the determination of the boundary pore diameter of the macro-micro pore of the soil body with known soil body suction force and known compactness is realized, the error between the obtained boundary pore diameter of the macro-micro pore of the soil body and an actual boundary line is small, and accurate data reference is provided for the subsequent simulation prediction of the soil body strength, expansion force curve, permeability curve and the like of the soil body by using the boundary pore diameter of the macro-micro pore of the soil body, so that the screening of the soil body applied to actual engineering is facilitated.
Optionally, the soil suction and the initial compaction of the soil sample are fixed.
Optionally, the first transformation model satisfies the following formula:wherein->Represents pore diameter, < >>Conversion coefficient indicating feed-liquid pressure and pore diameter, < ->Indicating the feed-water pressure.
Optionally, the first transformation model includes the following formula:wherein->Represents pore diameter, < >>Indicating the pressure of the feed liquid>Indicating the surface tension of the invading liquid, +.>Representing the non-wetting contact angle between the invading liquid and the soil sample.
Optionally, the data information includes a feed liquid pressure, a cumulative feed liquid volume corresponding to the feed liquid pressure, and a cumulative feed liquid volume corresponding to the maximum feed liquid pressure.
Optionally, the obtaining the second conversion model of the feed liquid pressure and the fractal dimension by using the data information includes the following steps: taking the feed liquid pressure as an abscissa and the feed liquid volume change gradient as an ordinate, and constructing a double logarithmic coordinate system; acquiring a gradient of volume change of the inlet liquid according to the data information; combining the feed liquid pressure and the corresponding feed liquid volume change gradient, and obtaining a discrete data graph under the double logarithmic coordinate system; gradually utilizing discrete data in the discrete data graph to fit a plurality of groups of linear regression equations by taking the increase of the feed liquid pressure as the positive direction; and obtaining a second conversion model of the feed liquid pressure and the fractal dimension through the multiple groups of linear regression equations.
Optionally, the second conversion model satisfies the following formula:wherein->Indicates the inlet pressure interval->Any inlet pressure ∈>Fractal dimension corresponding to lower soil body sample +.>，/>Representing the number of linear regression equations, i representing the number of linear regression equations, < >>The linear regression coefficient representing the ith linear regression equation,for linear regression compensation coefficient ++>Indicating the pressure of the feed liquid>Representing regression coefficient +.>Is a linear regression equation of the pressure of the feed fluid.
Optionally, the corresponding model satisfies the following formula: when (when)When (I)>Wherein->Indicating the pressure of the feed liquid>Representing regression coefficient +.>Is a feed-fluid pressure interval corresponding to the linear regression equation of +.>Indicates the inlet pressure interval->Any inlet pressure ∈>Fractal dimension corresponding to lower soil body sample +.>，/>Representing the number of linear regression equations, i representing the number of linear regression equations, < >>Linear regression coefficient representing the ith linear regression equation,/->For linear regression compensation coefficient ++>Indicates the inlet pressure interval->Any inlet pressure ∈>Pore diameter corresponding to lower soil body sample +.>The conversion coefficient of the feed liquid pressure and the pore diameter is shown.
Optionally, the determining the macro-micro pore demarcation aperture of the soil body sample according to the corresponding model includes the following steps: according to the corresponding model, a last linear regression equation and a penultimate linear regression equation are obtained; extracting the maximum value of pore diameter in the pore diameter range corresponding to the last linear regression equation; extracting a pore diameter minimum value in a pore diameter range corresponding to the penultimate linear regression equation; taking the pore diameter maximum value and the pore diameter minimum value as a starting point and an ending point of a macro-micro pore diameter conversion interval respectively; and obtaining the macro-micro pore boundary pore diameter according to the macro-micro pore diameter conversion interval.
In the second aspect, since the soil suction has a larger influence on the boundary of the macroscopic and microscopic apertures, the invention further provides a reference for the relevant prediction and research of the soil mechanical properties for quantitatively expressing the influence of the soil suction on the boundary aperture of the macroscopic and microscopic apertures of the soil, and the invention also provides a method for evaluating the influence of the soil suction on the boundary aperture of the macroscopic and microscopic apertures of the soil, which comprises the following steps: providing soil samples to be tested with different soil suction forces; acquiring the macro-micro pore demarcation aperture of the soil sample to be detected by using the method for determining the macro-micro pore demarcation aperture of the soil body provided by the first aspect of the invention; combining the soil suction force corresponding to the soil sample to be detected and the soil macro-micro pore demarcation aperture, and acquiring an influence curve of the soil suction force on the soil macro-micro pore demarcation aperture; and quantitatively evaluating the influence of the soil suction on the boundary aperture of the soil macro-micro pore according to the influence curve of the soil suction on the boundary aperture of the soil macro-micro pore. According to the method for determining the soil mass macro-micro pore boundary aperture, provided by the first aspect of the invention, the influence curve of the soil mass suction force on the soil mass macro-micro pore boundary aperture is obtained, is the quantitative representation of the influence of the soil mass suction force on the soil mass macro-micro pore boundary aperture, simultaneously provides quantitative data reference for the soil mass strength, the expansion force curve, the permeability curve and the like which are subjected to subsequent simulation prediction, and is also beneficial to the screening of the soil mass of the actual engineering.
Drawings
FIG. 1 is a flow chart of a method for determining the demarcation aperture of a macro-micro pore of a soil body provided by an embodiment of the invention;
fig. 2 is a schematic diagram of saturation of a liquid inlet volume of a soil sample in a mercury-pressing process according to an embodiment of the present invention;
FIG. 3 is a flowchart illustrating an implementation of step S05 according to an embodiment of the present invention;
FIG. 4 is a graph of discrete data obtained according to an embodiment of the present invention;
FIG. 5 is a schematic view of a demarcation aperture of macro-micro pores of a soil body according to an embodiment of the present invention;
FIG. 6 is a flowchart of a method for evaluating the influence of a demarcation aperture of a macro-micro aperture of a soil body according to an embodiment of the present invention;
FIG. 7 is a schematic diagram of a system for determining and evaluating the boundary aperture of macro-micro pores of a soil body.
Detailed Description
Specific embodiments of the invention will be described in detail below, it being noted that the embodiments described herein are for illustration only and are not intended to limit the invention. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention. However, it will be apparent to one of ordinary skill in the art that: no such specific details are necessary to practice the invention. In other instances, well-known circuits, software, or methods have not been described in detail in order not to obscure the invention.
Throughout the specification, references to "one embodiment," "an embodiment," "one example," or "an example" mean: a particular feature, structure, or characteristic described in connection with the embodiment or example is included within at least one embodiment of the invention. Thus, the appearances of the phrases "in one embodiment," "in an embodiment," "one example," or "an example" in various places throughout this specification are not necessarily all referring to the same embodiment or example. Furthermore, the particular features, structures, or characteristics may be combined in any suitable combination and/or sub-combination in one or more embodiments or examples. Moreover, those of ordinary skill in the art will appreciate that the illustrations provided herein are for illustrative purposes and that the illustrations are not necessarily drawn to scale.
The boundary between the current macro pore diameter and the micro pore diameter is not defined in a definite range, the method for judging the boundary pore diameter of the macro and micro pores of the soil body according to the PSD of the soil body is high in subjectivity, and compared with the actual boundary of the macro and micro pores, the boundary pore diameter of the macro and micro pores of the soil body obtained according to the PSD of the soil body has larger error.
In order to provide more accurate soil macro-micro pore demarcation apertures for simulating and predicting soil strength, expansion force curves, permeability curves and other data so as to define a macro-micro structure of the soil and screen out the soil more suitable for practical engineering, in an alternative embodiment, please refer to fig. 1, fig. 1 is a flowchart of a determination method of the soil macro-micro pore demarcation apertures provided by an embodiment of the present invention. As shown in FIG. 1, the method for determining the demarcation aperture of the macro-micro pore of the soil body comprises the following steps:
and S01, providing a soil body sample of the macro-micro pore demarcation aperture to be defined.
It should be understood that the soil suction and compaction have a large influence on the boundary of the macroscopic and microscopic pore diameters, and thus the soil suction and initial compaction of the soil sample involved in step S01 of the present invention are fixed. Namely, the method provided by the invention is used for obtaining the macro-micro pore demarcation aperture of the soil body sample under the conditions of a certain soil body suction force and initial compactness.
Meanwhile, the soil sample to be defined with the macro-micro pore demarcation aperture provided in step S01 is a soil sample for determining the macro-micro pore demarcation aperture required by actual engineering or experiments, or a soil sample of a macro-micro structure required to define a soil. And the soil body sample is a physical foundation and a data source for determining the macro-micro pore demarcation aperture later.
Further, the number of types of soil samples includes one or more. Aiming at the soil samples of the same type, the invention provides a basic method for obtaining the boundary aperture of the macro-micro pores of the soil under different suction forces or different compactibility; the invention also provides a basic method for obtaining the pore size demarcation line of the corresponding macro-micro pores for researching the quantitative influence of the soil suction or compactness on the pore size demarcation line of the macro-micro pores of the soil.
In practical engineering, bentonite is generally used as an anti-seepage and barrier material for isolating pollutants and as a heavy metal adsorbent in sewage treatment, and one of the key indexes is the expansion force (the expansion force refers to the pressure required for keeping the volume of the soil unchanged in the process of absorbing water, or the maximum pressure value required for ensuring that the soil fully absorbs water under the condition of not allowing lateral deformation and ensuring that the soil does not vertically expand all the time in the process of absorbing water).
The swelling power of different types of bentonite is different, and the swelling power requirements of different engineering and industrial practices are different for bentonite, in an alternative embodiment, sodium bentonite (the cations in the soil body are mainly Na + ) Or calcium bentonite (the cation in the soil body is mainly Ca) 2+ ) In order to screen out the buffer backfill material used as a high-radioactivity nuclear waste disposal warehouse, the macro-microstructure definition of bentonite soil is indispensable. The embodiment mainly uses calcium bentonite (the cations in the soil body are mainly Ca) 2 + ) All are used as soil samples of macro-micro pore demarcation apertures to be defined and are used as entity basis and data sources for determining the macro-micro pore demarcation apertures corresponding to bentonite later. Specifically, in the present embodiment, the soil sample provided in step S01 has an initial compaction degree of 1.90g/cm 3 The suction force of the soil body is 3.29MPa of calcium bentonite.
S02, fixing the macro-microstructure of the soil body sample.
Since the soil sample is the physical basis for determining the macro-micro pore demarcation aperture subsequently, the corresponding data subsequently originates from the soil sample, and it should be understood that step S02 is set to ensure the stability of the macro-micro structure of the soil sample.
In order to not easily damage the soil structure of the soil sample in the subsequent process, in an alternative embodiment, the fixing the macro-microstructure of the soil sample in step S02 includes the following steps: providing liquid nitrogen and freezing the soil body sample by utilizing the liquid nitrogen; providing a dryer, and drying the frozen soil body sample by using the dryer.
In this embodiment, in order to achieve the purpose of fixing the macro-microstructure of the soil sample, the freezing time period for freezing the soil sample by liquid nitrogen is set to 10-30 minutes.
The dryer comprises a freeze dryer and an oven dryer, but because of the oven dryer, a part of solidified liquid in the soil body sample is liquefied or gasified again, and further the pore changes, so that the accuracy of the macro-micro pore demarcation pore diameter is affected. Thus, in this embodiment, the dryer provides a freeze dryer.
S03, providing an intrusion liquid, and applying an intrusion liquid force to press the intrusion liquid into the fixed soil body sample.
It should be understood that the invading liquid described in step S03 does not react with the soil sample in any way, and the pore structure distribution of the soil sample is approximately regarded as unchanged when the invading liquid enters the soil sample by externally applying the inlet liquid pressure. At the same time, under a certain pressure of the inlet liquid, the invasive liquid can enter the pores with the pore diameter within a certain range.
In an alternative embodiment, step S03 is performed by mercury intrusion to achieve intrusion into the soil sample after the macro-microstructure is fixed. In this embodiment, the soil sample is calcium bentonite, and the invading liquid provided is mercury liquid (Hg) having a surface tension of 0.484N/m.
S04, constructing a first conversion model of the inlet fluid pressure and the pore diameter by utilizing the characteristics of the invasive fluid and combining the inlet fluid pressure.
Step S04 is approximately considered as in step S03The provided invasive liquid does not change the pore structure distribution of the soil body sample when the inlet liquid pressure is applied externally; and under a certain pressure of the inlet fluid, the inlet fluid can enter the pores within a certain range, so that the inlet fluid pressure can be constructed based on the principleAnd pore diameter->A first transformation model in between: />Wherein->Expressed as feed liquid force->Is an independent variable, the feed liquid force->And pore diameter->A functional relationship between them.
In an alternative embodiment, the first transformation model satisfies the following formula:wherein->Represents pore diameter, < >>Conversion coefficient indicating feed-liquid pressure and pore diameter, < ->Indicating the feed-water pressure. In this embodiment, the characteristics of the invading liquid are used in combination with the pressure of the inlet fluid to construct the pressure of the inlet fluid and the poresThe first transformation model of the diameter further satisfies the following formula: />Wherein->Represents pore diameter, < >>Indicating the pressure of the feed liquid>Indicating the surface tension of the invading liquid, +.>Representing the non-wetting contact angle between the invading liquid and the soil sample, i.e. the conversion coefficient of the feed-liquid pressure and the pore diameter +.>。
In a further alternative embodiment, the invading liquid is a mercury liquid with a surface tension of 0.484N/m in the embodiment provided in step S03, and the non-wetting contact angle of the mercury liquid with the soil body to be measured is 130 DEG, so that, based on the first transformation model proposed in the above embodiment, in the present embodiment, the inlet pressure isAnd pore diameter->The first conversion model in between specifically satisfies the following formula: />Wherein->Represents pore diameter, < >>Indicating the feed-water pressure.
S05, collecting data information when the invasive liquid is pressed into the soil body sample, and obtaining a second conversion model of the inlet pressure and the fractal dimension by utilizing the data information.
In order to obtain the fractal dimension and a second conversion model of the feed liquid pressure and the fractal dimension, the data information required to be collected based on the liquid invasion method comprises the feed liquid pressure, the accumulated feed liquid volume corresponding to the feed liquid pressure and the accumulated feed liquid volume corresponding to the maximum feed liquid pressure. The fractal dimension is a measurement index for describing geometric fractal characteristics of a soil body pore structure and is used for representing the fractal characteristics of complexity and spatial distribution of the soil body pore structure. Further, the fractal dimension can be obtained through data information such as the feed liquid pressure, the accumulated feed liquid volume corresponding to the maximum feed liquid pressure, and the like, and further a second conversion model of the feed liquid pressure and the fractal dimension can be obtained.
It should be understood that the data information such as the feed liquid pressure, the accumulated feed liquid volume corresponding to the feed liquid pressure, and the accumulated feed liquid volume corresponding to the maximum feed liquid pressure can be obtained directly or indirectly through various data recorded in the liquid intrusion process, for example, the maximum feed liquid pressure can be obtained through a soil sample feed liquid volume saturation schematic diagram. In an alternative embodiment, please refer to fig. 2, fig. 2 is a schematic diagram showing saturation of a liquid volume of a soil sample in a mercury pressing process according to an embodiment of the present invention. The soil sample corresponding to FIG. 2 is calcium bentonite, the initial compaction degree of the calcium bentonite is 1.90g/cm 3 The soil suction force is 3.29MPa, the intrusion liquid is mercury liquid (Hg), and the surface tension of the mercury liquid is 0.484N/m. The abscissa of fig. 2 is the feed liquid pressure P in MPa, and the ordinate is the saturation (%) of the feed liquid volume of the soil sample. When the saturation of the liquid inlet volume of the soil body sample reaches 100%, the corresponding liquid inlet pressure is the maximum liquid inlet pressure. Further, in order to obtain a second conversion model of the accurate feed-liquid pressure and the fractal dimension, in an alternative embodiment, please refer to fig. 3 and fig. 4, fig. 3 is a flowchart of step S05 provided in the embodiment of the present invention, and fig. 4 is a discrete data graph obtained in the embodiment of the present invention.
As shown in fig. 3, in this embodiment, the second transformation model for obtaining the feed liquid pressure and the fractal dimension by using the data information in step S05 includes the following steps:
s051, constructing a double-logarithmic coordinate system by taking the feed liquid pressure as an abscissa and the gradient of the change of the feed liquid volume as an ordinate.
It should be understood that, based on the mercury porosimetry selected in step S03, the pressure of the inlet fluid in step S05 is the pressure applied to the soil sample by the mercury porosimeter. The mercury porosimeter will inject mercury into the soil sample and measure the pressure on the soil sample based on the pressure sensor. This pressure is the feed-water pressure. The gradient of the volume change of the inlet liquid in the step S05 refers to the rate of change of the pore volume of the soil sample in the mercury intrusion experiment. The gradient of the change in the volume of the feed liquid is usually calculated by measuring the change in the pore volume of the soil sample at different pressures.
In this embodiment, the logarithmic forms of the intake fluid pressure and intake fluid volume change gradient are used, respectively, and a corresponding coordinate system is constructed, which can compress the data range, smooth the data distribution, and highlight the change trend and linearization analysis relationship, and is helpful for observing and explaining the relationship between the intake fluid pressure and intake fluid volume change gradient.
S052, acquiring the gradient of the change of the volume of the inlet fluid according to the data information.
In this embodiment, the gradient of the intake volume change obtained through the data information satisfies the following formula:wherein->Represents the gradient of the volume change of the feed liquid, P represents the feed liquid force, < ->Indicating the variation of the feed liquid pressure,/o>Indicating maximum feed-liquid pressure>Represents the accumulated feed liquid volume under the feed liquid pressure P, < >>Representation->Is used for the control of the degree of variation of (c),indicating maximum feed-liquid pressure +.>Lower accumulated feed volume, +.>Representation->Is a variable amount of (a).
S053, combining the inlet fluid pressure and the corresponding inlet fluid volume change gradient, and obtaining a discrete data graph under the double-logarithmic coordinate system.
Referring to FIG. 4, the abscissa of FIG. 4 is the feed liquid pressure in MPa, and the ordinate is the feed liquid volume change gradient in MPa -1 . Discrete dots in the double logarithmic coordinate system represent logarithmic values of the variation gradient of the inlet volume corresponding to the inlet pressure after taking the logarithm, and the discrete data map is converged by a plurality of dots.
S054, gradually utilizing the discrete data in the discrete data graph to fit a plurality of groups of linear regression equations by taking the increase of the feed liquid pressure as the positive direction.
In the process of fitting the linear regression equation through discrete data, the fitting of the ideal linear regression equation can be realized by setting the correlation coefficient degree threshold value of the data in the obtained linear regression equation and the number of the linear regression equations.
In the present embodiment, the correlation coefficient degree threshold of the data in the linear regression equation is set to 0.9, the number of linear regression equations is 2, and when the correlation coefficient degree threshold is lower and the fitting number is not satisfied, the linear fitting is performed again. Further, linear regression equation fitting of discrete data may be achieved by a program such as Origin, matlab, excel.
Referring to fig. 4, when the correlation coefficient degree threshold is set to 0.9 and the number of linear regression equations is 2, two linear regression equations are correspondingly fitted to the discrete data included in fig. 4, and the slopes of the two linear regression equations are respectively shown as two black lines in fig. 4And->。
S055, obtaining a second conversion model of the feed liquid pressure and the fractal dimension through the multiple groups of linear regression equations.
Step S055 is to obtain a second conversion model through the multiple sets of linear regression equations by the multiple sets of linear regression equations, and the following formula is satisfied:wherein->Indicates the inlet pressure interval->Any inlet pressure ∈>Fractal dimension corresponding to lower soil body sample +.>，/>Representing the number of linear regression equations, i representing the number of linear regression equations, < >>Representing the ith linear regression equationLinear regression coefficient>For the linear regression-compensation coefficient,representing regression coefficient +.>Is a linear regression equation of the pressure of the feed fluid.
In this embodiment, as shown in fig. 4, the discrete data corresponding to any one linear regression line corresponds to the same fractal dimension, and the fractal dimensions corresponding to the two linear regression equations are respectively2.99 and->。
S06, combining the first conversion model with the second conversion model to construct a corresponding model of fractal dimension and pore diameter.
It should be understood that the first conversion model described in step S06 is the feed-liquid pressureAnd pore diameter->The correspondence between them may be a continuous functional relationship, such as +.>The method comprises the steps of carrying out a first treatment on the surface of the Or discontinuous discrete data correspondence, e.g. +.>Wherein t represents a discrete data sequence number, +.>Represents that the pore diameter corresponding to the t-th inlet pressure value is。
In an alternative embodiment, the first conversion model proposed based on the above embodiment:and a second transformation model: />Step S06 combines the corresponding model constructed by the first conversion model and the second conversion model to satisfy the following formula: when->When (I)>Wherein->Indicating the pressure of the feed liquid>Representing regression coefficient +.>Is a feed-fluid pressure interval corresponding to the linear regression equation of +.>Indicates the inlet pressure interval->Any inlet pressure ∈>Fractal dimension corresponding to lower soil body sample +.>，/>Representing the number of linear regression equations, i represents linear regressionSequence number of equation>Linear regression coefficient representing the ith linear regression equation,/->For linear regression compensation coefficient ++>Indicates the inlet pressure interval->Any inlet pressure ∈>Pore diameter corresponding to lower soil body sample +.>The conversion coefficient of the feed liquid pressure and the pore diameter is shown.
S07, determining the macro-micro pore demarcation aperture of the soil body sample according to the corresponding model.
In an alternative embodiment, the determining the macropore-to-microporosity demarcation aperture of the soil body sample according to the corresponding model in step S07 includes the steps of:
s071, according to the corresponding model, obtaining a last linear regression equation and a penultimate linear regression equation.
In the present embodiment, the slopes of the last linear regression equation and the penultimate linear regression equation are respectivelyAnd->。
S072, extracting the pore diameter maximum value in the pore diameter range corresponding to the last linear regression equation.
Further, the last linear regression equation corresponds to a pore diameter rangePore diameter maximum value ofWherein->，/>Representing regression coefficient +.>Is corresponding to the linear regression equation of (2)>Internal minimum feed-water pressure.
S073, extracting a pore diameter minimum value in a pore diameter range corresponding to the penultimate linear regression equation.
Further, the minimum value of the pore diameter in the pore diameter range corresponding to the penultimate linear regression equation isWherein->，/>Representing regression coefficient +.>Is corresponding to the linear regression equation of (2)>Internal maximum feed-water pressure.
S074, taking the pore diameter maximum value and the pore diameter minimum value as a starting point and an ending point of a macro-micro pore diameter conversion section respectively.
In this embodiment, the macropore and microporosity pore diameter conversion interval is。
S075, obtaining the macro-micro pore boundary pore diameter according to the macro-micro pore diameter conversion interval.
Macropore and microcosmic pore diameter conversion interval based on step S074The macro-micro pore demarcation pore diameter comprises the following formula: />Wherein->Macro-micro demarcation diameter of a soil sample +.>Represents the maximum value of pore diameter in the pore diameter range corresponding to the last linear regression equation,/>Representing the minimum pore diameter in the pore diameter range corresponding to the penultimate linear regression equation.
In this embodiment, please refer to fig. 5, fig. 5 is a schematic diagram of a demarcation aperture of a macro-micro pore of a soil body according to an embodiment of the present invention. As shown in fig. 5, the abscissa is the macropore-microcosmic pore demarcation aperture (pore radius selected in fig. 5 characterizes pore structure) in micrometers (μm); the ordinate is the fractal dimension, two thickened straight lines respectively represent the pore size ranges corresponding to different fractal dimension values, and the abscissa corresponding to the middle thickened broken line is the soil macro-micro pore demarcation pore diameter (radius shown in fig. 5) of the soil sample. Specifically, in the present embodiment, two linear regression equations are fitted together, corresponding to the slope ofAnd->Corresponding toFractal dimensions of->And +.>The method comprises the steps of carrying out a first treatment on the surface of the The pore diameter maximum value in the pore diameter range corresponding to the last linear regression equation is +.>The pore diameter minimum value in the pore diameter range corresponding to the penultimate linear regression equation is +.>. It can be understood that fig. 5 is a corresponding diagram of the fractal dimension and the macropore and microporosity demarcation aperture obtained by taking the feed liquid pressure as an intermediate parameter and combining the corresponding model obtained in step S06.
The method for determining the boundary aperture of the soil macro-micro aperture provided by the invention researches the condition of the aperture inside the soil sample by combining the invasive liquid with the inlet liquid pressure, and builds a corresponding model between the fractal dimension and the aperture diameter of the soil sample by taking the inlet liquid pressure as an intermediate variable, thereby realizing the accurate determination of the boundary aperture of the soil macro-micro aperture with known soil suction force and known compactness, having small error between the obtained boundary aperture of the soil macro-micro aperture and an actual boundary, and providing accurate data reference for the subsequent simulation of predicting the soil intensity, expansion force curve, permeation curve and the like of the soil by utilizing the boundary aperture of the soil macro-micro aperture, and further being beneficial to the screening of the soil applied in actual engineering.
The soil suction has a larger influence on the boundary of the macroscopic and microscopic pore diameters, so that the method provides a reference for quantitatively expressing the influence of the soil suction on the macroscopic and microscopic pore boundary diameters of the soil and further provides a reference for the relevant prediction and research of the mechanical properties of the soil. In an alternative embodiment, please refer to fig. 6, fig. 6 is a flowchart of a method for evaluating the influence of the macro-micro pore demarcation aperture of the soil body according to an embodiment of the present invention. As shown in fig. 6, the method for evaluating the influence of the demarcation aperture of the macro-micro pores of the soil body comprises the following steps:
a01, providing soil samples to be tested with different soil suction forces.
The initial compactibility of the soil samples to be measured provided in the step A01 is the same, and the soil samples are the soil samples for determining the macro-micro pore demarcation aperture required by actual engineering or experiments or the soil samples for defining the macro-micro structure degree of the soil. In this embodiment, the soil samples are a plurality of soil samples corresponding to a plurality of soil suction forces of the same type of soil samples under the same initial compaction degree. Specifically, the suction value of the soil body sample is controlled by a soil body steam air pressure balance method. The invention provides a plurality of soil samples with different soil suction through a controlled variable method, namely by providing an initial compaction degree fixing method.
A02, obtaining the macro-micro pore demarcation aperture of the soil sample to be detected by using the determination method of the macro-micro pore demarcation aperture of the soil body.
The method for determining the macro-micro pore boundary aperture of the soil body can rapidly and accurately obtain the macro-micro pore boundary aperture of the soil body sample to be detected.
A03, combining the soil suction force corresponding to the soil sample to be detected and the soil macro-micro pore demarcation aperture, and obtaining an influence curve of the soil suction force on the soil macro-micro pore demarcation aperture.
Step S03 can be realized by combining the soil suction force corresponding to the soil sample to be detected and the data corresponding to the demarcation aperture of the macro-micro soil holes and combining MATLAB and other mathematical drawing tools.
A04, quantitatively evaluating the influence of the soil suction on the boundary aperture of the macro-micro pore of the soil according to the influence curve of the soil suction on the boundary aperture of the macro-micro pore of the soil.
And A04, quantitatively evaluating the influence degree of the soil suction on the boundary aperture of the soil macro-micro pore by utilizing the influence curve of the soil suction on the boundary aperture of the soil macro-micro pore obtained in the step A03.
In this embodiment, by affecting the shape, slope and data points on the curve, the specific impact of soil suction on the macro-micro pore demarcation aperture of the soil can be analyzed. For example, if the curve exhibits a sharp change, it indicates that the soil suction has a significant effect on the pore dividing aperture; if the curve is basically gentle, the influence of the soil suction on the pore dividing aperture is smaller. The influence of the soil suction on the boundary aperture of the macro-micro pores of the soil is quantitatively evaluated, so that reference data can be provided for the subsequent prediction and research of the mechanical properties of the soil.
According to the method for evaluating the influence of the soil suction on the boundary aperture of the soil macro-micro aperture, provided by the invention, the influence curve of the soil suction on the boundary aperture of the soil macro-micro aperture is obtained by combining the method for determining the boundary aperture of the soil macro-micro aperture, the influence curve of the soil suction on the boundary aperture of the soil macro-micro aperture is the quantitative representation of the influence of the soil suction on the boundary aperture of the soil macro-micro aperture, and meanwhile, quantitative data reference is provided for the follow-up simulation prediction of soil strength, expansion force curve, permeability curve and the like, and the screening of the soil of actual engineering is facilitated.
Since the degree of compaction also has a large influence on the demarcation of the macroscopic micro pore size: the soil sample with low compactness has more macroscopic aperture pore distribution, and the soil particles are compactly arranged due to the fact that the soil sample with low compactness is compacted continuously by external work, and the soil sample with medium and high compactness is converted into the soil sample with medium and high compactness, so that the macroscopic aperture pore of the soil sample is greatly reduced, and the boundary line of the macroscopic microscopic aperture pore of the soil is changed along with the change of the compactness. Therefore, similarly, the macro-micro pore demarcation aperture of the soil sample to be measured can be rapidly and accurately obtained by providing soil samples to be measured with different initial compactibility for fixing the soil suction force and combining the determination method for the macro-micro pore demarcation aperture of the soil provided by the invention, so that the influence of compactibility on the macro-micro pore demarcation aperture of the soil is quantitatively expressed, and data reference and support are further provided for the relevant prediction and research of the soil mechanical property.
In order to better implement the above method, please refer to fig. 7, the present invention further provides a system for determining and evaluating the boundary aperture of the macro-micro soil body pores, which includes an input device, a processor, a memory and an output device, wherein the input device, the processor, the memory and the output device are connected with each other, the memory is used for storing a computer program, the computer program includes program instructions, and the processor is configured to call the program instructions to execute the method for determining and evaluating the boundary aperture of the macro-micro soil body pores provided by the present invention. The system for determining and influencing and evaluating the boundary aperture of the macro-micro aperture of the soil body has compact structure, stable and quick operation and extremely strong expansibility, and can well execute the method for determining and influencing and evaluating the boundary aperture of the macro-micro aperture of the soil body.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some or all of the technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit of the invention, and are intended to be included within the scope of the appended claims and description.
Claims (10)
1. The method for determining the demarcation aperture of the macro-micro pore of the soil body is characterized by comprising the following steps of:
providing a soil body sample of a macro-micro pore demarcation aperture to be defined;
fixing the macro-microstructure of the soil body sample;
providing an invasion liquid, and applying an invasion liquid force to press the invasion liquid into a fixed soil sample;
utilizing the characteristics of the invasion liquid and combining the inlet liquid pressure to construct a first conversion model of the inlet liquid pressure and the pore diameter;
collecting data information when the invasive liquid is pressed into the soil body sample, and obtaining a second conversion model of the inlet pressure and the fractal dimension by utilizing the data information;
constructing a corresponding model of fractal dimension and pore diameter by combining the first conversion model with the second conversion model;
and determining the macro-micro pore demarcation aperture of the soil body sample according to the corresponding model.
2. The method for determining a macropore and macropore demarcation aperture of a soil body according to claim 1, wherein the soil body suction force and the initial compaction degree of the soil body sample are fixed.
3. The method for determining a demarcation aperture of a macropore and a micropores of a soil body according to claim 2, wherein the first transformation model satisfies the following formula:wherein->Represents pore diameter, < >>Conversion coefficient indicating feed-liquid pressure and pore diameter, < ->Indicating the feed-water pressure.
4. A method of determining a soil mass macropore and microporosity demarcation aperture according to claim 3, wherein the first transformation model comprises the following formula:wherein->Represents pore diameter, < >>Indicating the surface tension of the invading liquid, +.>Representing the non-wetting contact angle between the invading liquid and the soil sample, < >>Indicating the feed-water pressure.
5. The method for determining the macropore and microporosity demarcation aperture of a soil body according to claim 2, wherein the data information comprises a feed liquid pressure, an accumulated feed liquid volume corresponding to the feed liquid pressure and an accumulated feed liquid volume corresponding to a maximum feed liquid pressure.
6. The method for determining a demarcation aperture of a macropore and a microscopic aperture of a soil body according to claim 5, wherein the obtaining the second transformation model of the feed liquid pressure and the fractal dimension by using the data information comprises the following steps:
taking the feed liquid pressure as an abscissa and the feed liquid volume change gradient as an ordinate, and constructing a double logarithmic coordinate system;
acquiring a gradient of volume change of the inlet liquid according to the data information;
combining the feed liquid pressure and the corresponding feed liquid volume change gradient, and obtaining a discrete data graph under the double logarithmic coordinate system;
gradually utilizing discrete data in the discrete data graph to fit a plurality of groups of linear regression equations by taking the increase of the feed liquid pressure as the positive direction;
and obtaining a second conversion model of the feed liquid pressure and the fractal dimension through the multiple groups of linear regression equations.
7. The method for determining a macropore demarcation aperture of a soil body according to claim 6, wherein the second transformationA model satisfying the following formula:wherein->Indicates the inlet pressure interval->Any inlet pressure ∈>Fractal dimension corresponding to lower soil body sample +.>，/>Representing the number of linear regression equations, i representing the number of linear regression equations, < >>Linear regression coefficient representing the ith linear regression equation,/->For linear regression compensation coefficient ++>Indicating the pressure of the feed liquid>Representing regression coefficient +.>Is a linear regression equation of the pressure of the feed fluid.
8. The method for determining the macropore and macropore demarcation aperture of a soil body according to claim 7, wherein the method comprises the following steps ofThe corresponding model satisfies the following formula: when (when)When (I)>Wherein->Indicating the pressure of the feed liquid>Representing regression coefficient +.>Is a feed-fluid pressure interval corresponding to the linear regression equation of +.>Indicates the inlet pressure interval->Any inlet pressure ∈>Fractal dimension corresponding to lower soil body sample +.>，/>Representing the number of linear regression equations, i representing the number of linear regression equations, < >>Linear regression coefficient representing the ith linear regression equation,/->For linear regression compensation coefficient ++>Indicates the inlet pressure interval->Any inlet pressure ∈>Pore diameter corresponding to lower soil body sample +.>The conversion coefficient of the feed liquid pressure and the pore diameter is shown.
9. The method for determining the macropore and macropore boundary aperture of a soil body according to claim 6, wherein the determining the macropore and macropore boundary aperture of the soil body sample according to the corresponding model comprises the following steps:
according to the corresponding model, a last linear regression equation and a penultimate linear regression equation are obtained;
extracting the maximum value of pore diameter in the pore diameter range corresponding to the last linear regression equation;
extracting a pore diameter minimum value in a pore diameter range corresponding to the penultimate linear regression equation;
taking the pore diameter maximum value and the pore diameter minimum value as a starting point and an ending point of a macro-micro pore diameter conversion interval respectively;
and obtaining the macro-micro pore boundary pore diameter according to the macro-micro pore diameter conversion interval.
10. The influence evaluation method for the soil mass macro-micro pore boundary aperture is characterized by comprising the following steps of:
providing soil samples to be tested with different soil suction forces;
obtaining the macro-micro pore demarcation aperture of the soil body sample to be detected by using the method for determining the macro-micro pore demarcation aperture of the soil body according to any one of claims 1-9;
combining the soil suction force corresponding to the soil sample to be detected and the soil macro-micro pore demarcation aperture, and acquiring an influence curve of the soil suction force on the soil macro-micro pore demarcation aperture;
and quantitatively evaluating the influence of the soil suction on the boundary aperture of the soil macro-micro pore according to the influence curve of the soil suction on the boundary aperture of the soil macro-micro pore.
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| CN107389519A (en) * | 2017-06-06 | 2017-11-24 | 湖北工业大学 | A kind of characteristic parameter Forecasting Methodology of soil-water characteristic curve two based on mercury injection method |
| US20200132584A1 (en) * | 2018-10-29 | 2020-04-30 | University Of Manitoba | Characterization of Porous Materials Using Gas Expansion Induced Water Intrusion Porosimetry |
| CN110321661A (en) * | 2019-07-18 | 2019-10-11 | 湖北工业大学 | A kind of double pores system soil pores division methods based on fractal theory |
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