CN110334474A - A kind of quasi- true soil developing algorithm suitable for FDTD modeling - Google Patents
A kind of quasi- true soil developing algorithm suitable for FDTD modeling Download PDFInfo
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- 239000002689 soil Substances 0.000 title claims abstract description 96
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- 239000011159 matrix material Substances 0.000 claims description 13
- 239000004615 ingredient Substances 0.000 claims description 8
- 239000004927 clay Substances 0.000 claims description 6
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Abstract
The invention discloses a kind of quasi- true soil developing algorithms suitable for FDTD modeling, firstly, constructing the electromagnetic parameter model of soil mixture based on the semiempirical formula for simulating true soil electromagnetic property;Secondly, generating soil random medium model according to the fractal characteristic that soil media is distributed.The beneficial effects of the present invention are: true soil modeling can be realized, the objective interaction process for reproducing electromagnetic wave and true soil, reduce the difference between FDTD Numerical Simulation Results and measured result, reliable training data is provided for the research of artificial intelligent Target identification technology, realizes the accurate analysis and explanation of electromagnetic wave lossless detection result.
Description
Technical field
The present invention relates to a kind of quasi- true soil developing algorithm, specially a kind of quasi- true soil building suitable for FDTD modeling
Algorithm belongs to the technical field of value simulation in terms of field of geophysical exploration electromagnetic wave lossless detection.
Background technique
When artificial intelligence technology is applied to electromagnetic wave lossless detection buried target body, it is desirable to provide a large amount of training with
The processes such as Performance tuning, structural adjustment, parameter selection of the test data for neural network.Since Electromagnetic Simulation the data obtained has
Have the characteristics that target position defines, known to model parameter, just has specific reference frame when carrying out neural net model establishing, it can
To verify the forecasting accuracy of network.In addition, Electromagnetic Simulation, which is easy to batch, obtains the B total number evidence of different target parameter.Therefore, exist
Before artificial intelligence technology is applied to measured data, first largely emulation data on the basis of carry out Primary Study be have it is important
Meaning, electromagnetic wave lossless detection also is carried out to underground objective body, has established good preparation.
Currently, most common and most mature method is time-domain finite in the numerical simulation field of electromagnetic wave lossless detection
Difference (FDTD) method.It generallys use simple geometry body and assumes the approximation method of uniform dielectric to construct simulation model, normal
Satisfactory effect can be generally also obtained when advising numerical simulation.But carry out the purpose of electromagnetic wave lossless detection numerical simulation
It is to provide training data for the research of artificial intelligent Target identification technology, needs to approach the emulation data of measured data, so
Confidence level judge can be done to the actual performance of neural network.If simulation model is excessively ideal, the B total number generated is according in target area
Domain can have apparent target signature, and clean image is presented in nontarget area thus with soil complicated during actual measurement
Many disturbing factors brought by environment do not match.
Uniform dielectric model cannot simulate the random distribution characteristic of medium in soil.The soil particle of nature is rendered as not
Uniform distribution characteristics, the uneven distribution of medium will lead to path and scattering signatures during Electromagnetic Wave Propagation in soil
Change, image always is swept to electromagnetic wave B and causes to interfere.Convenient value only considers uniform dielectric when emulating, except in different medium circle
Outside the position that medium parameter is mutated at face, it will not cause electromagnetic wave to generate any distortion and propagation path variations, thus generate
Emulation data excessively idealize, it is difficult to meet the actual needs of artificial intelligence target identification training data.
Summary of the invention
The object of the invention is that providing a kind of quasi- true soil suitable for FDTD modeling to solve the above-mentioned problems
Developing algorithm.
The present invention is through the following technical solutions to achieve the above objectives: a kind of quasi- true soil building suitable for FDTD modeling
Algorithm, comprising the following steps:
Step 1, the semiempirical formula based on the true soil electromagnetic property of simulation, construct the electromagnetic parameter mould of soil mixture
Type;
Step 2 sets the size of the net region FDTD as x, y, z, and generates the random three-dimensional data A of same size;
Step 3 carries out three dimensional fast Fourier transformation algorithm to matrix A, and result is translated, and is in zero frequency
The center of three-dimensional matrice;
Step 4 sets the center point coordinate of matrix A as (ic, jc, kc), for each data point A (i, j, k), calculates it
With the mould L of central point;I.e.
Step 5, according to approximate power law relation, matrix A is converted using formula;
Its formula are as follows:
Step 6 carries out inverse Fourier transform to matrix A again, and acquired results are normalized to and are quantified as 1 integer for arriving n,
A series of corresponding above-mentioned soil complex dielectric permittivity numbers, and be that FDTD grid assigns corresponding medium parameter, structure in corresponding position
Build quasi- true soil model.
Preferably, in the step 1, in the soil mixture model of building, soil by three kinds of sandy soil, silt and clay at
To divide and constitutes, the proportion of these three ingredients is different can to indicate different soil types, and then also influences its electromagnetic property, meanwhile,
Water content also plays significant impact to its electromagnetic property in soil.These comprehensive factors, the complex dielectric permittivity ε of soilmIt can by following formula
:
Wherein, ε 'mWith ε 'm' be respectively complex dielectric permittivity real part and imaginary part;ρbWith ρsBe respectively soil gross density and
The wherein density (unit: g/cm3) of sandy soil ingredient;β ' is relevant constant respectively with soil composition to β ";α is obtained by experience
Constant, value 0.65, expression formula are as follows:
Wherein, S and C is the composition (0 < S < 1,0 < C < 1) of sandy soil and clay respectively.
ε ' in above formulafwWith ε "fwIt is the real part and imaginary part of Free water in soil, expression formula respectively are as follows:
Wherein, εw∞It is ε "fwThe limit in high frequency;τwFor the relaxation time of Free water;εw0It is opposite for the static state of water
Dielectric constant, value 80.1;σeffFor effective conductivity, can be obtained by empirical equation:
σeff=0.0467+0.2204 ρb-0.4111S+0.6614C
After setting soil composition S and C, the electromagnetic parameter of the soil model is mainly by moisture content;Practical soil
Water content is unevenly distributed in earth, thus can define the minimum value of water content and maximum value be respectively and;This is aqueous
Range is equidistant takes n point for amount, and is substituted into the complex dielectric permittivity ε of soilmFormula can obtain a series of complex dielectric permittivities
(i=1,2,3 ..., n).
Preferably, in the step 2, the model facetization of building is uniform square net, mesh spacing 1mm.
Preferably, in the step 6, the dual-mode antenna for constructing quasi- true soil model selects ideal dipole, center frequency
Rate is 1.5GHz, and dual-mode antenna spacing is 20mm.
Preferably, in the step 2, the size of the constructed net region FDTD is 400 × 400 × 400.
The beneficial effects of the present invention are: should be suitable for FDTD modeling quasi- true soil developing algorithm design rationally, it can be achieved that
True soil modeling, the objective interaction process for reproducing electromagnetic wave and true soil reduce FDTD Numerical Simulation Results and reality
Survey the difference between result, provide reliable training data for the research of artificial intelligent Target identification technology, realization electromagnetic wave without
Damage the accurate analysis and explanation of detection result.
Detailed description of the invention
Fig. 1 is three-dimensional modeling of the present invention and Numerical Simulation Results schematic diagram.
In figure: a, three-dimensional uniform dielectric soil model, b, three-dimensional random medium intend true soil model, c, three-dimensional uniform dielectric
Soil model direct wave waveform, d, three-dimensional random medium intend true soil model direct wave waveform.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
Referring to Fig. 1, a kind of quasi- true soil developing algorithm suitable for FDTD modeling, comprising the following steps:
Step 1, the semiempirical formula based on the true soil electromagnetic property of simulation, construct the electromagnetic parameter mould of soil mixture
Type;
In the soil mixture model of building, soil is made of three kinds of sandy soil, silt and clay ingredients, these three ingredients
Proportion difference can indicate different soil types, and then also influence its electromagnetic property, meanwhile, water content is also to its electricity in soil
Magnetic characteristic plays significant impact.These comprehensive factors, the complex dielectric permittivity ε of soilmIt can be obtained by following formula:
Wherein, ε 'mWith ε "mIt is the real part and imaginary part of complex dielectric permittivity respectively;ρbWith ρsBe respectively soil gross density and its
The density (unit: g/cm3) of middle sandy soil ingredient;β ' is relevant constant respectively with soil composition to β ";α is resulting by experience
Constant, value 0.65, expression formula are as follows:
Wherein, S and C is the composition (0 < S < 1,0 < C < 1) of sandy soil and clay respectively.
ε ' in above formulafwWith ε "fwIt is the real part and imaginary part of Free water in soil, expression formula respectively are as follows:
Wherein, εw∞It is ε "fwThe limit in high frequency;τwFor the relaxation time of Free water;εw0It is opposite for the static state of water
Dielectric constant, value 80.1;σeffFor effective conductivity, can be obtained by empirical equation:
σeff=0.0467+0.2204 ρb-0.4111S+0.6614C
After setting soil composition S and C, the electromagnetic parameter of the soil model is mainly by moisture content;Practical soil
Water content is unevenly distributed in earth, thus can define the minimum value of water content and maximum value be respectively and;This is aqueous
Range is equidistant takes n point for amount, and is substituted into the complex dielectric permittivity ε of soilmFormula can obtain a series of complex dielectric permittivities
(i=1,2,3 ..., n).
Programming mode are as follows:
import numpy as np
from scipy import fftpack
Step 2 sets the size of the net region FDTD as x, y, z, and the size of the constructed net region FDTD is 400 ×
400 × 400, and the model facetization constructed is uniform square net, mesh spacing 1mm, and generate the random of same size
Three-dimensional data A, the value range of numerical value are 0 to 1;
Programming mode are as follows:
Step 3 carries out three dimensional fast Fourier transformation algorithm to matrix A, and result is translated, and is in zero frequency
The center of three-dimensional matrice;
Programming mode are as follows:
A=fftpack.fftn (A)
A=fftpack.fftshift (A)
Step 4 sets the center point coordinate of matrix A as (ic, jc, kc), for each data point A (i, j, k), calculates it
With the mould L of central point;I.e.
Programming mode are as follows:
Step 5, according to approximate power law relation, matrix A is converted using formula;
Its formula are as follows:
Step 6 carries out inverse Fourier transform to matrix A again, needs to carry out translation to A again before inverse transformation,
Acquired results are normalized to and are quantified as 1 integer for arriving n, correspond to a series of above-mentioned soil complex dielectric permittivity numbers, and in correspondence
Position is that FDTD grid assigns corresponding medium parameter, constructs quasi- true soil model, and constructs the transmitting-receiving day of quasi- true soil model
Line selection ideal dipole, centre frequency 1.5GHz, and dual-mode antenna spacing are 20mm.
Programming mode are as follows:
Working principle: when being suitable for the quasi- true soil developing algorithm of FDTD modeling using this, firstly, true based on simulation
The semiempirical formula of soil electromagnetic property constructs the electromagnetic parameter model of soil mixture;Secondly, according to soil media distribution
Fractal characteristic generates soil random medium model, it can be achieved that true soil modeling, the objective phase for reproducing electromagnetic wave and true soil
Interaction process reduces the difference between FDTD Numerical Simulation Results and measured result, is artificial intelligent Target identification technology
Research provides reliable training data, realizes the accurate analysis and explanation of electromagnetic wave lossless detection result.
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case where without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by appended power
Benefit requires rather than above description limits, it is intended that all by what is fallen within the meaning and scope of the equivalent elements of the claims
Variation is included within the present invention.Any reference signs in the claims should not be construed as limiting the involved claims.
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 (5)
1. a kind of quasi- true soil developing algorithm suitable for FDTD modeling, it is characterised in that: the following steps are included:
Step 1, the semiempirical formula based on the true soil electromagnetic property of simulation, construct the electromagnetic parameter model of soil mixture;
Step 2 sets the size of the net region FDTD as x, y, z, and generates the random three-dimensional data A of same size;
Step 3 carries out three dimensional fast Fourier transformation algorithm to matrix A, and result is translated, and zero frequency is made to be in three-dimensional
The center of matrix;
Step 4 sets the center point coordinate of matrix A as (ic, jc, kc), for each data point A (i, j, k), calculates it in
The mould L of heart point;I.e.
Step 5, according to approximate power law relation, matrix A is converted using formula;
Its formula are as follows:
Step 6 carries out inverse Fourier transform to matrix A again, and acquired results are normalized to and are quantified as 1 integer for arriving n, corresponding
A series of above-mentioned soil complex dielectric permittivity numbers, and be that FDTD grid assigns corresponding medium parameter in corresponding position, building is quasi-
True soil model.
2. a kind of quasi- true soil developing algorithm suitable for FDTD modeling according to claim 1, it is characterised in that: described
In step 1, in the soil mixture model of building, soil is made of three kinds of sandy soil, silt and clay ingredients, these three ingredients
Proportion difference can indicate different soil types, and then also influence its electromagnetic property, meanwhile, water content is also to its electricity in soil
Magnetic characteristic plays significant impact.These comprehensive factors, the complex dielectric permittivity ε of soilmIt can be obtained by following formula:
Wherein, ε 'mWith ε "mIt is the real part and imaginary part of complex dielectric permittivity respectively;ρbWith ρsIt is the gross density of soil respectively and wherein husky
The density (unit: g/cm3) of native ingredient;β ' is relevant constant respectively with soil composition to β ";α is resulting often by experience
Number, value 0.65, expression formula are as follows:
Wherein, S and C is the composition (0 < S < 1,0 < C < 1) of sandy soil and clay respectively.
ε ' in above formulafwWith ε "fwIt is the real part and imaginary part of Free water in soil, expression formula respectively are as follows:
Wherein, εw∞It is ε "fwThe limit in high frequency;τwFor the relaxation time of Free water;εw0For the static relative dielectric of water
Constant, value 80.1;σeffFor effective conductivity, can be obtained by empirical equation:
σeff=0.0467+0.2204 ρb-0.4111S+0.6614C
After setting soil composition S and C, the electromagnetic parameter of the soil model is mainly by moisture content;In practical soil
Water content is unevenly distributed, thus can define the minimum value of water content and maximum value be respectively and;By this water content model
Enclose it is equidistant take n point, and substituted into the complex dielectric permittivity ε of soilmFormula can obtain a series of complex dielectric permittivity (i=
1,2,3,…,n)。
3. a kind of quasi- true soil developing algorithm suitable for FDTD modeling according to claim 1, it is characterised in that: described
In step 2, the model facetization of building is uniform square net, mesh spacing 1mm.
4. a kind of quasi- true soil developing algorithm suitable for FDTD modeling according to claim 1, it is characterised in that: described
In step 6, the dual-mode antenna for constructing quasi- true soil model selects ideal dipole, centre frequency 1.5GHz, and receives and dispatches day
Line spacing is 20mm.
5. a kind of quasi- true soil developing algorithm suitable for FDTD modeling according to claim 1, it is characterised in that: described
In step 2, the size of the constructed net region FDTD is 400 × 400 × 400.
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Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN103969627A (en) * | 2014-05-26 | 2014-08-06 | 苏州市数字城市工程研究中心有限公司 | Ground penetrating radar large-scale three-dimensional forward modeling method based on FDTD |
CN108761397A (en) * | 2018-05-30 | 2018-11-06 | 中南大学 | Polarization SAR model decomposition evaluation method based on electromagnetic scattering simulation |
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Publication number | Priority date | Publication date | Assignee | Title |
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CN103969627A (en) * | 2014-05-26 | 2014-08-06 | 苏州市数字城市工程研究中心有限公司 | Ground penetrating radar large-scale three-dimensional forward modeling method based on FDTD |
CN108761397A (en) * | 2018-05-30 | 2018-11-06 | 中南大学 | Polarization SAR model decomposition evaluation method based on electromagnetic scattering simulation |
Non-Patent Citations (3)
Title |
---|
NEIL R. PEPLINSKI等: ""Dielectric Properties of Soils in the 0.3-1.3-GHz Range"", 《IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING》 * |
董娜: ""近地表土壤中无线通信特性研究"", 《中国优秀硕士学位论文全文数据库2013年第11期》 * |
黄祥 等: ""各向异性表面生成算法及其应用"", 《华南理工大学学报(自然科学版)》 * |
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