CN109164033A - A method of the acquisition unsaturated soil waterpower conductance based on resistivity method - Google Patents

A method of the acquisition unsaturated soil waterpower conductance based on resistivity method Download PDF

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Publication number
CN109164033A
CN109164033A CN201811295465.9A CN201811295465A CN109164033A CN 109164033 A CN109164033 A CN 109164033A CN 201811295465 A CN201811295465 A CN 201811295465A CN 109164033 A CN109164033 A CN 109164033A
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China
Prior art keywords
soil
resistivity
acquisition
waterpower
conductance
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CN201811295465.9A
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CN109164033B (en
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卢德宝
王凤
董邑宁
欧剑
夏银锋
耿楠
虞瑜
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Zhejiang University of Water Resources and Electric Power
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Zhejiang University of Water Resources and Electric Power
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00Investigating characteristics of particles; Investigating permeability, pore-volume, or surface-area of porous materials
    • G01N15/08Investigating permeability, pore-volume, or surface area of porous materials
    • G01N15/088Investigating volume, surface area, size or distribution of pores; Porosimetry
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N27/00Investigating or analysing materials by the use of electric, electrochemical, or magnetic means
    • G01N27/02Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating impedance
    • G01N27/04Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating impedance by investigating resistance
    • G01N27/041Investigating or analysing materials by the use of electric, electrochemical, or magnetic means by investigating impedance by investigating resistance of a solid body

Abstract

The present invention relates to hydrogeologys, field of geophysical exploration, specifically disclose a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method, the following steps are included: the topography and geomorphology feature of (1) according to area to be evaluated, apparent resistivity acquisition and pedotheque collection scheme are formulated, area's apparent resistivity and corresponding pedotheque are studied in acquisition.(2) Inversion Calculation is carried out to collected apparent resistivity data, obtains the soil true resistance rate distribution in research area.(3) according to Archie equation, the quantitative relationship between soil resistivity and soil moisture is established.(4) porosity of pedotheque is determined by laboratory experiment, to obtain the distribution of research area's soil porosity.The present invention can greatly reduce evaluated error, parameter explicit physical meaning, measurement is simple, convenience of calculation, provides more accurate supplemental characteristic for hydrogeology, geophysical exploration, feasibility is high to provide convenience in the research of large area.

Description

A method of the acquisition unsaturated soil waterpower conductance based on resistivity method
Technical field
The present invention relates to hydrogeology, field of geophysical exploration, specifically a kind of acquisition based on resistivity method is non-full With the method for soil waterpower conductance.
Background technique
The selection determination of soil hydraulic parameters is basis and the computer mould of soil moisture movement and solute migration prediction The key that type calculates, and influence the main factor of prediction order of accuarcy.Soil unsaturation hydraulic conductivity is soil waterpower One important parameter of characteristic, has closely with the continuity of soil particle partial size, the distribution of hole, pore shape and hole Connection.Since these parameters have strong Spatial Variability, so that Direct Determination is past in the research of large area It is past relatively difficult, and influenced by soil texture space structure variability, there are biggish errors for measurement.To overcome these to lack Point, numerous researchers attempt to set up certain functional relation between soil texture and hydraulic parameters, to find a kind of letter The method that soil hydraulic parameters easily are effectively predicted.But therefore the disadvantages of such methods are indefinite there are parameter physical significance utilizes New geophysical exploration means, establishing a kind of simple unsaturated soil waterpower conductance acquisition methods still has stronger reason Refer to realistic meaning.
Summary of the invention
The method for obtaining unsaturated soil waterpower conductance based on resistivity method that the purpose of the present invention is to provide a kind of, To solve the problems mentioned in the above background technology.
To achieve the above object, the invention provides the following technical scheme:
A method of the acquisition unsaturated soil waterpower conductance based on resistivity method, comprising the following steps:
(1) according to the topography and geomorphology feature in area to be evaluated, apparent resistivity acquisition and pedotheque collection scheme, acquisition are formulated Study area's apparent resistivity and corresponding pedotheque.
(2) Inversion Calculation is carried out to collected apparent resistivity data, obtains the soil true resistance rate distribution in research area.
(3) it according to Archie equation, by way of parameter calibration, determines Archie equation relevant parameter, establishes electric resistance of soil Quantitative relationship between rate and soil moisture.
(4) porosity of pedotheque is determined by laboratory experiment, to obtain the distribution of research area's soil porosity.
(5) according to fractal theory, the quantitative model of unsaturated conductance and soil moisture, porosity is established.
Further: four parameters that Archie equation is related to use the mode of parameter calibration to obtain, and are built using matlab Vertical four parameter fit-procedures.
It is further: to obtain the apparent resistivity distribution in research area using high-density resistivity instrument in step (1).
Compared with prior art, the beneficial effects of the present invention are: the present invention can for large area research in provide just Benefit greatly reduces evaluated error, and parameter explicit physical meaning, measurement is simple, convenience of calculation, for hydrogeology, earth object Reason exploration provides more accurate supplemental characteristic, and feasibility is high.
Detailed description of the invention
Fig. 1 is the flow chart of a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method.
Specific embodiment
Referring to Fig. 1, in the embodiment of the present invention, a kind of acquisition unsaturated soil waterpower conductance based on resistivity method Method, the specific steps are as follows:
Step 1: according to the topography and geomorphology feature in area to be evaluated, establishing reasonable dimensional high-density resistance for region to be measured Rate measures cloth pole mode, is distributed using the apparent resistivity that high-density resistivity instrument obtains research area, and according to the measurement of resistivity The pedotheque of principle acquisition corresponding position.
Step 2: being established according to global newton-Gauss equation and minimize disturbing for the available resistivity inversion of target equation Dynamic equation (1):
S is sensitivity matrix in formula (1), and d is observation data, and ρ is the resistivity of model, and G is forward operator, RddWith Rmm Respectively indicate the covariance matrix of observation data and analogue data, ρ0For initial resistivity model, Δ ρkAfter this iteration of kth Artifical resistance rate.It is distributed according to soil true resistance rate can be obtained after the iterative calculation of this model.
Step 3: according to Archie equation (2) (3), establishing the quantitative relationship between resistivity and soil moisture.
Formula (2): ρ=ρ0S
Formula (3):
ρ is unsaturated soil resistivity, ρ in formula (2) (3)0Soil resistivity when saturation, θ are soil moisture content, θrWith θsRespectively saturated soil moisture content and soil residue moisture content, β is empirical parameter, related with the physical property of soil.
To avoid measuring bring error, four parameters that the Archie equation in the present invention is related to use parameter rate Fixed mode obtains, and establishes four parameter fit-procedures using matlab, that is, can determine the parameter of Archie equation, so that it is determined that resistance Quantitative relationship between rate and soil moisture.
Step 4: by laboratory experiment, determining the porosity ε of pedotheque.
Step 5: according to soil fractal theory formula (4) (5), determining the hydraulic conductivity power of unsaturated soil;
Formula (4)
Formula (5)
K is unsaturation waterpower conductance in formula (4) (5), and θ is soil moisture content, and D is fractal parameter, and ε is soil aperture Degree.
The porosity ε of the soil moisture content θ and soil that obtain in step 3,4, which are brought into formula (4) (5), can be obtained Unsaturated soil waterpower conductance.
Unsaturated soil waterpower conductance based on resistivity method obtains case verification:
Choosing Linan City of Zhejiang Province prosperousization Catchment, nearby one piece of test site carries out, and about 9 square metres of test site area, It is measuring point number 100, each at a distance of 0.3m, apparent resistivity measurement is carried out using proud roc E60DN, measurement uses secondary device, can lead to The distance of change measuring electrode is crossed to obtain the apparent resistivity value of different depth.Meanwhile corresponding depth is acquired according to test Pedotheque.Inversion Calculation is iterated to two-dimentional apparent resistivity data is measured according to formula (1).According to resistivity inversion result Available each measuring point soil true resistance rate value ρ.According to the soil moisture data of actual measurement and soil resistivity data, to Ah Odd formula (2) (3) carries out parameter fitting, determines parameter ρ0、θr、θs, β value, establish soil resistivity and soil moisture content Transforming relationship obtains soil moisture content distribution.Then at the porosity ε of indoor measurement soil, soil moisture content and hole will be obtained Degree brings formula (4) (5) into, and the unsaturated soil moisture conductivity for obtaining research area is 2.321m/d.Pass through the bicyclic test of tradition The soil moisture conductivity for measuring and being calculated research area is 2.305m/d, and the two differs 0.6%, as a result reliably, invented party Case feasibility is high.
In addition, it should be understood that although this specification is described in terms of embodiments, but not each embodiment is only wrapped Containing an independent technical solution, this description of the specification is merely for the sake of clarity, and those skilled in the art should It considers the specification as a whole, the technical solutions in the various embodiments may also be suitably combined, forms those skilled in the art The other embodiments being understood that.

Claims (6)

1. a kind of method of the acquisition unsaturated soil waterpower conductance based on resistivity method, which is characterized in that including following step It is rapid:
(1) according to the topography and geomorphology feature in area to be evaluated, apparent resistivity acquisition and pedotheque collection scheme, acquisition research are formulated Area's apparent resistivity and corresponding pedotheque;
(2) Inversion Calculation is carried out to collected apparent resistivity data, obtains the soil true resistance rate distribution in research area;
(3) according to Archie equation, by way of parameter calibration, determine Archie equation relevant parameter, establish soil resistivity with Quantitative relationship between soil moisture;
(4) porosity of pedotheque is determined by laboratory experiment, to obtain the distribution of research area's soil porosity;
(5) according to fractal theory, the quantitative model of unsaturated conductance and soil moisture, porosity is established.
2. a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method according to claim 1, It is characterized in that: obtaining the apparent resistivity distribution in research area using high-density resistivity instrument in step (1).
3. a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method according to claim 2, It is characterized in that: the formula of resistivity data Inversion Calculation in step (2) are as follows:
Wherein S is sensitivity matrix, and d is observation data, and ρ is the resistivity of model, and G is forward operator, RddWith RmmRespectively indicate sight The covariance matrix of measured data and analogue data, ρ0For initial resistivity model, Δ ρkFor the artifical resistance rate after this iteration of kth.
4. a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method according to claim 3, It is characterized in that: establishing the quantitative relationship formula between resistivity and soil moisture in step (3) are as follows:
ρ=ρ0S,
ρ is unsaturated soil resistivity, ρ in formula0Soil resistivity when saturation, θ are soil moisture content, θrAnd θsIt is respectively full With soil moisture content and soil residue moisture content, β is empirical parameter, related with the physical property of soil.
5. a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method according to claim 4, Be characterized in that: four parameters that Archie equation is related to use the mode of parameter calibration to obtain, and establish four parameters using matlab Fit procedure.
6. a kind of method of acquisition unsaturated soil waterpower conductance based on resistivity method according to claim 5, It is characterized in that: determining the formula of the hydraulic conductivity power of unsaturated soil in step (5) are as follows:
K is unsaturation waterpower conductance in formula, and θ is soil moisture content, and D is fractal parameter, and ε is soil porosity;By step (3) The soil moisture content θ of the middle acquisition and porosity ε of soil, which is brought into formula, can be obtained unsaturated soil waterpower conductance.
CN201811295465.9A 2018-11-01 2018-11-01 Method for acquiring hydraulic conductivity of unsaturated soil based on resistivity method Expired - Fee Related CN109164033B (en)

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CN109884131A (en) * 2019-02-23 2019-06-14 机械工业勘察设计研究院有限公司 One kind soil layer in submerging test of testing pits soaks lossless continuous probe method
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CN110988045A (en) * 2019-12-24 2020-04-10 西安理工大学 Soil body conductivity measuring method based on active heating optical fiber method
CN111208042A (en) * 2020-02-07 2020-05-29 中国科学院武汉岩土力学研究所 Device and method for inverting hydraulic parameters of unsaturated waste soil
CN112162014A (en) * 2020-09-02 2021-01-01 塔里木大学 Cotton field soil profile water data processing method based on electromagnetic induction data

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CN109884131A (en) * 2019-02-23 2019-06-14 机械工业勘察设计研究院有限公司 One kind soil layer in submerging test of testing pits soaks lossless continuous probe method
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CN111208042B (en) * 2020-02-07 2021-06-29 中国科学院武汉岩土力学研究所 Device and method for inverting hydraulic parameters of unsaturated waste soil
CN112162014A (en) * 2020-09-02 2021-01-01 塔里木大学 Cotton field soil profile water data processing method based on electromagnetic induction data

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