CN103163055B - A kind of resistivity imaging consolidometer detecting unsaturated soil infiltration coefficient - Google Patents

A kind of resistivity imaging consolidometer detecting unsaturated soil infiltration coefficient Download PDF

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CN103163055B
CN103163055B CN201310053107.8A CN201310053107A CN103163055B CN 103163055 B CN103163055 B CN 103163055B CN 201310053107 A CN201310053107 A CN 201310053107A CN 103163055 B CN103163055 B CN 103163055B
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chassis
stainless steel
consolidometer
side ring
plastic
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CN103163055A (en
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蔡国军
邹海峰
刘松玉
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Southeast University
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Southeast University
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Abstract

The invention discloses a kind of resistivity imaging consolidometer evaluating unsaturated soil infiltration coefficient, comprise top cover, side ring and chassis, described side ring is located on chassis, top cover is inserted in side ring, the top of described top cover is stainless steel cover, and bottom is plastic cylinder, is evenly distributed with multiple copper electrode in described plastic cylinder, also be provided with flexure element and detection instrument, described plastic cylinder is provided with drainage channel and is attached thereto logical draining donut simultaneously; Described side ring is lined with the stainless steel ring of plastic circle ring in being, equally spacedly on sidewall be provided with multiple copper electrode; Described chassis comprises stainless steel cask and is located at the plastic inner lining of stainless steel cask inwall, and described plastic inner lining is arranged arranges corresponding with plastic cylinder.Instant invention overcomes prior art and can not consider the defect that anisotropy, nonuniformity and test size are little, by causing the change of soil body resistivity along with pore water flows out in test consolidation test, carrying out cheapness, evaluating unsaturated soil infiltration coefficient quickly and easily.

Description

A kind of resistivity imaging consolidometer detecting unsaturated soil infiltration coefficient
Technical field
The invention belongs to technical field of civil engineering, particularly relating to the resistivity imaging consolidometer for detecting unsaturated soil infiltration coefficient.
Background technology
Along with China's expanding economy, urban groundwater resource pollution problem is day by day serious.Pollutant is often migrated to saturated soil by earth's surface superficial part unsaturated soil, and therefore, first the research of Contaminants Transport rule need the seepage flow characteristics determining unsaturated soil.In unsaturated soil, seepage flow characteristics obtains by straightway testing method and indirect method usually, and straightway testing method includes site test and shop experiment.Site test such as the tension infiltrometer test scope of application is confined to more shallow region, more than earth's surface, and the test duration is long, and workload is large.Experimental Method in Laboratory adopts the infiltration coefficient of consolidation test or constant head and varying head test determination soil usually, all indoor samples are considered as homogeneous, isotropic unit by this method, ignore remodeling process to the anisotropic impact of sample, and volume of sample is little, size effect makes the unsaturated seepage characteristic reliability that records not strong.Up-to-date research tendency is adopt indirect method to detect the penetration signature of unsaturated soil, and wherein the most conventional and easy is the Method for Numerical Inversion.First the Method for Numerical Inversion supposes that the analytic expression that can be similar to several limited unknown parameters of employing with infiltration coefficient function k is expressed, give these unknown parameter initial values, then the k imparting initial value is substituted into the governing equation characterizing instantaneous stream, and the controllable boundary condition of Combined Trials and starting condition, formation can the mathematical model of complete description seepage state, finally solves this mathematical model.The solution of percolation equationk and experimental observation are carried out contrast and analysis, improves and optimize the assignment of unknown parameter, repeat above-mentioned steps, until the error between the analogue value and measured value reaches minimum, thus determine the expression formula of k.The Method for Numerical Inversion needs to carry out indoor model test or site test equally, to provide actual observed value as a comparison.Resistivity imaging technology is a kind of emerging experimental technique, by testing the character of the resistivity value reflection soil of the soil body, be rapidly developed owing to having the advantage such as quick, reliable, with low cost, can be used for the monitoring of pollutant distribution scope, pollution level divides, Soil Anisotropic is differentiated and the field such as basement process quality testing.Along with the effect of load in consolidation test, pore water flows out, and volume of voids changes, and the resistivity of soil also changes thereupon, and the change inverting of resistivity therefore can be utilized to obtain soil body osmotic coefficient.Utilize the Method for Numerical Inversion and resistivity imaging technology, in conjunction with indoor conventional consolidation instrument, the present invention proposes one and the Method for Numerical Inversion can be utilized to detect the resistivity imaging consolidometer of unsaturated seepage feature.
Utility model content
Goal of the invention: for overcoming above-mentioned Problems existing and defect, the present invention proposes a kind of resistivity imaging consolidometer that can be used for detecting unsaturated soil infiltration coefficient.
Technical scheme: for solving the problems of the technologies described above, the present invention is by the following technical solutions: a kind of resistivity imaging consolidometer detecting unsaturated soil infiltration coefficient, comprise top cover, side ring and chassis, described side ring is located on chassis, described top cover is inserted in side ring, wherein: the top of described top cover is stainless steel cover, bottom is plastic cylinder, multiple copper electrode is evenly distributed with in described plastic cylinder, also be provided with flexure element and detection instrument simultaneously, described plastic cylinder is provided with drainage channel and draining donut, and described draining donut is communicated with drainage channel; Described side ring is lined with the stainless steel ring of plastic circle ring in being, equally spacedly on the sidewall of simultaneously side ring be provided with multiple copper electrode; Described chassis comprises stainless steel cask and is located at the plastic inner lining of stainless steel cask inwall, described plastic inner lining is provided with copper electrode, flexure element, detection instrument and draining donut equally, and corresponding with the copper electrode in plastic cylinder, flexure element, detection instrument and draining donut respectively; Described plastic inner lining is also provided with drainage channel simultaneously, and this drainage channel is connected with draining concentric circles.
Further improvement, described copper electrode comprises copper electrode bar, polyamide fibre plastic jacket, stainless steel handle and wire, described copper electrode bar tail end is connected with wire, and described polyamide fibre plastic jacket is enclosed within copper electrode bar, and described wire to be imbedded in stainless steel handle and left lead-in wire; Copper electrode bar and Maranyl are provided with O-ring seal between overlapping simultaneously.
Further, described top cover and chassis are respectively equipped with 13 copper electrodes, and wherein 8 copper electrodes be evenly distributed on respectively with top cover and chassis circumferentially concentric, other 5 copper electrodes are then arranged on the centre on top cover and chassis respectively.
Further, the surface of contact of described top cover and side ring, and the surface of contact on side ring and chassis is provided with O-ring seal; The surface of contact of described copper electrode and plastic cylinder or plastic inner lining is provided with O-ring seal simultaneously.
As preferably, described side ring is provided with 16 copper electrodes.
As preferably, the material of described plastic cylinder and plastic inner lining is polyamide fibre, and resistivity is 1 × 10 13Ω m ~ 9 × 10 13Ω m.
As preferably, the outer wall on described chassis is provided with the pressure valve be connected with drainage channel.
Beneficial effect: compared with prior art, the present invention has the following advantages: pollutant is often migrated to saturated soil direction by earth's surface superficial part unsaturated soil, and therefore, first the research of Contaminants Transport rule need the seepage flow characteristics determining unsaturated soil.The invention solves when domestic existing consolidometer detects unsaturated seepage feature and can not consider the defect that anisotropy, nonuniformity and test size are little, by causing the change of soil body resistivity along with pore water flows out in test consolidation test, carrying out cheapness, detecting unsaturated soil infiltration coefficient quickly and easily.This technology has reliably, economic, quick and repeatable feature.
Accompanying drawing explanation
Fig. 1 is the structural representation of resistivity imaging consolidometer of the present invention;
Fig. 2 is the structural representation of side ring of the present invention;
Fig. 3 is the structural representation on chassis of the present invention;
Fig. 4 is the structural representation of copper electrode of the present invention.
Wherein, stainless steel cover 1, plastic cylinder 2, copper electrode 3, flexure element 4, detection instrument 5, drainage channel 6, draining donut 7, stainless steel ring 8, plastic circle ring 9, stainless steel cask 10, plastic inner lining 11, pressure valve 12, O-ring seal 13, copper electrode bar 31, polyamide fibre plastic jacket 32, stainless steel handle 33, wire 34,
Embodiment
Below in conjunction with accompanying drawing, the present invention is further described.
As shown in Figure 1, a kind of resistivity imaging consolidometer detecting unsaturated soil infiltration coefficient, this device is divided into top cover, side ring and three, chassis part, top cover top is stainless steel cover 1, bear the load that consolidation test applies, top cover bottom is polyamide fibre plastic cylinder 2, the electric current of resistivity imaging consolidometer inside and stainless steel cover 1 are insulated, 13 copper electrodes 3 are provided with in the inside of top cover, copper electrode 3 is by copper electrode bar 3.1, O-ring seals 3.2, polyamide fibre plastics 3.3, stainless steel handle 3.4 and wire 3.5 form, wherein 8 copper electrodes 3 be equidistantly distributed in polyamide fibre plastic cylinder 2 concentric circumferentially, and near polyamide fibre plastic cylinder 2 center of circle, installed 5 copper electrodes 3 concentratedly, 1 flexure element 4 and 1 detection instrument 6, drainage channel 5 and 3 draining donuts 7.1 are provided with in polyamide fibre plastic cylinder 2 inside, 7.2, 7.3, above drainage channel 5, flexure element 4 and detection instrument 6 inside are all provided with O-ring seals 8, prevent the current of consolidometer inside from causing short circuit, this device side ring outer wall is stainless steel ring 9, and inwall is polyamide fibre plastic circle ring 10 insulating effects, the sidewall with side ring concentric circumferentially spaced set have 16 copper electrodes 3, this device chassis design is similar to top cover, bottom, chassis is stainless steel cask 11, stainless steel cask 11 inwall is covered by polyamide fibre plastics 12, inside chassis is provided with 13 copper electrodes 3, 1 flexure element 4, 1 detection instrument 6 and 3 draining donuts 7.1, 7.2, 7.3, element in each element and top cover is just right, drainage channel 5 is provided with equally at inside chassis, and in the outer wall opposition of stainless steel cask 11, pressure valve 13 is installed, with the draining in adjustment and control consolidometer and stress condition, correspond in the groove of polyamide fibre plastic circle ring 10 at polyamide fibre plastics 12 and be provided with O-ring seals 8.
Polyamide fibre plastic cylinder diameter design is 130mm, resistivity about 10 13Ω m.
The stainless steel ring external diameter of side ring is 150mm, and internal diameter is 135mm, and the polyamide fibre plastic circle ring external diameter of side ring is 135mm, and internal diameter is 130mm, and side ring height is 100mm.
The head copper electrode bar diameter of copper electrode is 2mm, and the spacing in side ring between 16 copper electrodes and side ring bottom surface is 20mm.
3 draining donut diameters are respectively 70mm, 90mm and 130mm, and tolerance is 2mm.
The stainless steel cask external diameter on chassis is 170mm, and internal diameter is 150mm, and the polyamide fibre plastics external diameter on chassis is 150mm, and internal diameter is 130mm.
In resistivity imaging consolidation test, in polyamide fibre plastic cylinder and chassis, the spacing of polyamide fibre frosting is 20-60mm, also namely test soil sample height should be 20-60mm.
Of the present inventionly can be used for the resistivity imaging consolidometer detecting unsaturated soil infiltration coefficient, its penetration signature part of detecting is primarily of the stainless steel cask on the stainless steel ring of the stainless steel cover of top cover and polyamide fibre plastic cylinder, side ring and polyamide fibre plastic circle ring, chassis and polyamide fibre plastics, copper electrode, drainage channel, 3 draining donut, O-ring seals and pressure valve compositions.The stainless steel cask on the stainless steel cover of top cover, the stainless steel ring of side ring and chassis can bear the load that consolidation test applies.The stainless steel of resistivity imaging consolidometer internal circuit and outer wall insulate by the polyamide fibre plastics on the polyamide fibre plastic cylinder of top cover, the polyamide fibre plastic circle ring of side ring, chassis, ensure the correct measurement of electromotive force, reduce the friction effect between resistivity imaging consolidometer inwall and soil sample simultaneously.42 copper electrodes are arranged on the inner boundary of resistivity imaging consolidometer, and 16 electrodes are set in qually spaced in side ring inwall, be 20mm, and 13 electrodes are respectively placed on top cover and chassis with the spacing of resistivity imaging consolidometer inwall bottom surface.Concentrated 5 copper electrodes being positioned over top cover and chassis add the resistivity information in the middle part of soil sample, and this is because the resolution of this place's back analysis is usually very poor, install concentratedly and more a step can increase sensitivity and the accuracy of electricity inverting.On side ring wherein two copper electrodes, voltage is applied during test, other copper electrodes can draw the distribution of electric potential difference, thus obtain the size of the soil body each position resistivity, simultaneously from vertical and level to the measurement carrying out resistivity, anisotropy and the nonuniformity of soil sample can be taken into full account.Drainage channel and 3 draining donuts provide the drainage path needed for consolidation test, and cause short circuit in order to avoid the flowing of pore water, near drainage channel, flexure element and detection instrument inside is all provided with O-ring seals, thus ensures that pore water flows all the time in the drainage path of design.Pressure valve then controls the consolidation pressure needed for consolidation test and provides drainage channel.The infiltration coefficient function k of unsaturated soil can be obtained in conjunction with back analysis by numerical simulation technology.
Archie equation gives the conductivity and saturation degree relation that porous medium records:
ρ = ρ w n p S r q
In formula, ρ and ρ wbe respectively soil and hole resistivity of water; N is porosity; P and q is empirical parameter, reflects internal void connection features.For when in porosity and water, salt content remains unchanged, Archie method can be written as:
ρ ρ s a t = S r q
In formula, ρ satfor the resistivity of saturated soil sample.
Then the saturation degree of remoulded sample can be written as:
S r=(σ/σ sat) 1/q
Due to all borders of resistivity imaging consolidometer being all provided with copper electrode, therefore a large amount of resistivity measurements can be carried out, and the change of pore water have also been obtained reflection.
According to the law of conservation of mass of continuous medium, the flowing partial differential equation of hole water and air is expressed as follows:
∂ ( nS r γ w ) ∂ t + ▿ · ( γ w q w ) = 0
∂ ( n ( 1 - S r ) γ a ) ∂ t + ▿ · ( γ a q a ) = 0
In formula, γ ibe the native unit weight of the i-th phase; q ifor unit rate of flow; N is porosity; S rfor saturation degree; I=w or a, w represent aqueous phase, and a represents gas phase.
Darcy law can be adopted to describe the flowing of hole water and air:
q w = - k w ( S r ) ▿ ( z + u w ρ w g )
q a = - k a ( S r ) ▿ ( z + u a ρ a g )
In formula, k aand k wfor being respectively the infiltration coefficient of gas and water, it is the function of saturation degree; u wand u abe respectively the pressure that water is gentle.K wbe the infiltration coefficient of unsaturated soil.
Brooks and Corey establishes the relation between saturation degree: k in formula w satfor the infiltration coefficient of saturated soil.β is experience factor.
Corey gives the infiltration coefficient expression formula of porous gases:
k a = k a d r y ( 1 - S r 2 ) ( 1 - S r ) 2
K in formula a dryfor the infiltration coefficient of air in soil body under bone dry condition.
According to van Genuchten relational expression, the moisture retention curve of soil is:
S e = S r - S r R E S 1 - S r R E S = [ 1 1 + ( α s ) n ] m
In formula, S efor effective saturation; S r rESfor residual saturation; α, n, m are experience factor; S=u a-u wfor matric suction.Ignore the hysteresis phenomenon of soil-water characteristic curve, because experienced by the process that repeatedly adds water in test.
Accordingly, the constitutive equation of water and air two kinds of fluids is:
γ w=γ w0exp(B wu w)
γ a = m a u a R T g
In formula, γ w0for the water capacity weight of normal atmosphere pressure, γ w0=10kN/m 3; B wfor the coefficient of volume compressibility of water, B w=1 × 10 -6kPa -1; m afor massfraction when air is considered as ideal gas, m a=28.96kg/mol; R is ideal gas constant, R=8.31432J/ (molK); T is absolute temperature, T=298.23K; G is acceleration of gravity, g=9.8m/s 2.
After constitutive equation is added suitable boundary condition and starting condition, namely can be solved by finite element numerical simulation software.For simplifying calculation process, test can be considered as axially symmetric structure and process, stress and strain model is three node types, more intensive near drainage channel.Except drainage channel, the border of sample may for all not possess perviousness to water and air.
The solution that finite element provides is not u in the same time aand u wform, saturation degree and resistivity are drawn by moisture retention curve and Archie equation.The unknown quantity that above-mentioned model provides is α, n, m and β five parameters.Adopt numerical simulation resistivity imaging consolidation test, obtain not resistivity simulation value in the same time, then resistivity simulation value and actual observed value are contrasted, characterized the difference of resistivity simulation value and observed reading by objective function Φ (b).
Φ(b)=(e Tm)·e
In formula, ρ mfor the resistivity vector of observation; B is parameter vector, b=b (α, n, m, β); E is error, e=ρ ms; ρ sfor the seepage flow vector of numerical simulation; T represents transposition.When Φ (b) is minimum, the volume infiltration coefficient function k of unsaturated soil can be obtained.Existing many methods can make objective function reach minimum value at present, and as method of steepest descent, Newton method, Gaussian processes and LM method (Levenberg-Marquardt method) etc., wherein LM method widely uses as standard method most.

Claims (7)

1. detect a resistivity imaging consolidometer for unsaturated soil infiltration coefficient, it is characterized in that: comprise top cover, side ring and chassis, described side ring is located on chassis, and described top cover is inserted in side ring, wherein:
The top of described top cover is stainless steel cover, bottom is plastic cylinder, multiple copper electrode is evenly distributed with in described plastic cylinder, also be provided with flexure element and detection instrument simultaneously, described plastic cylinder is provided with first row aquaporin and the first draining donut, and described first draining donut is communicated with first row aquaporin;
Described side ring is lined with the stainless steel ring of plastic circle ring in being, equally spacedly on the sidewall of simultaneously side ring be provided with multiple copper electrode;
Described chassis comprises stainless steel cask and is located at the plastic inner lining of stainless steel cask inwall, described plastic inner lining is provided with copper electrode, flexure element, detection instrument and the second draining donut equally, and corresponding with the copper electrode in plastic cylinder, flexure element, detection instrument and the first draining donut respectively; Described plastic inner lining is also provided with second row aquaporin simultaneously, and this second row aquaporin is connected with the second draining donut.
2. detect the resistivity imaging consolidometer of unsaturated soil infiltration coefficient according to claim 1, it is characterized in that: described copper electrode comprises copper electrode bar, polyamide fibre plastic jacket, stainless steel handle and wire, described copper electrode bar tail end is connected with wire, described polyamide fibre plastic jacket is enclosed within copper electrode bar, and described wire to be imbedded in stainless steel handle and left lead-in wire; Copper electrode bar and Maranyl are provided with O-ring seal between overlapping simultaneously.
3. detect the resistivity imaging consolidometer of unsaturated soil infiltration coefficient according to claim 2, it is characterized in that: described top cover and chassis are respectively equipped with 13 copper electrodes, top cover and chassis concentric be circumferentially evenly distributed with 8 copper electrodes respectively, be separately installed with 5 copper electrodes in the centre on top cover and chassis.
4. detect the resistivity imaging consolidometer of unsaturated soil infiltration coefficient according to claim 3, it is characterized in that: the surface of contact of described top cover and side ring, and the surface of contact on side ring and chassis is provided with O-ring seal; The surface of contact of described copper electrode and plastic cylinder or plastic inner lining is provided with O-ring seal simultaneously.
5. detect the resistivity imaging consolidometer of unsaturated soil infiltration coefficient according to claim 4, it is characterized in that: described side ring is provided with 16 copper electrodes.
6. detect the resistivity imaging consolidometer of unsaturated soil infiltration coefficient according to claim 5, it is characterized in that: the material of described plastic cylinder and plastic inner lining is polyamide fibre, and resistivity is 1 × 10 13Ω m ~ 9 × 10 13Ω m.
7. detect the resistivity imaging consolidometer of unsaturated soil infiltration coefficient according to claim 6, it is characterized in that: the outer wall on described chassis is provided with the pressure valve be connected with drainage channel.
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