CN106597546B - A method of detection river bed surface layer silt physical property - Google Patents
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- G01V1/28—Processing seismic data, e.g. for interpretation or for event detection
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- G01V1/306—Analysis for determining physical properties of the subsurface, e.g. impedance, porosity or attenuation profiles
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- G01V2210/00—Details of seismic processing or analysis
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- G01V2210/62—Physical property of subsurface
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Abstract
The invention belongs to acoustics and geophysics field, and in particular to a method of detection river bed surface layer silt physical property.This method analyzes shallow seismic profile data, calculates attenuation coefficient α, search porosity according to porosity-reflection coefficient curve, calculate permeability κ, calculate silt velocity of wave c by extracting shallow seismic profile sonic data;Permeability-attenuation coefficient curve is calculated, according to step attenuation coefficient α, inquires permeability;It is calculated by successive ignition, as porosity βnWith previous iteration value βn‑1When difference is smallerStop iteration;Silt density p is calculated, is calculated reflection R (f);Export permeability κ, silt velocity of wave c, reflection R (f), attenuation coefficient α, silt density p.This method can obtain a variety of silt physical parameters, abundant shoal materials information, underwater sediment physical parameter can be obtained merely with shallow bottom section plotter, it saves human and material resources, improve working efficiency, this method can obtain more accurate silt parameter information, provide data supporting for researchs such as river dynamics.
Description
Technical field
The invention belongs to acoustics and geophysics field, and in particular to a method of detection river bed surface layer silt physical property.
Background technique
Currently, the acquisition of river bed siltation surface layer silt physical parameter (density, permeability, porosity etc.) is mainly taken by machinery
Sample obtains, and the perturbation of mechanical sampling causes sample tests to generate deviation.In addition, mechanical sampling spends a large amount of manpower objects
Power, efficiency are lower.Acoustic method is also commonly used to detection river sediment characteristic, presently mainly judges that silt becomes silted up according to sonar image
Product structure, still lacks effective ways to the extraction of silt physical parameter.
The present invention is a kind of new method using sub-bottom profiler detection river bed surface layer silt parameter.Based on pore media
Acoustic theory receives signal by analysis sub-bottom profiler, and acoustic reflection coefficient and the decaying for extracting sub-bottom profiler are special
Sign obtains the parameters such as river sediment density, velocity of wave, porosity and permeability.The present invention does not need mechanical sampling test result work
For foundation, receiving signal merely with sub-bottom profiler can be obtained related silt parameter.Compared with mechanical sampling, have quick
Efficient feature.
Summary of the invention
In conclusion for overcome the deficiencies in the prior art, the present invention provides a kind of detection river bed surface layer silt physical property
Method, related formula and parameter is as follows:
K is wave number,For angular frequency, f is frequency, and c is pore media velocity of wave, ρfAnd ρsRespectively pore-fluid density and
Sand grain density, and be known constant.ρ is silt volume density.η indicates pore water viscosity, and κ is permeability, KγIt is silt
The bulk modulus of grain, μ is the modulus of shearing of silt frame, KbAnd KfRespectively indicate the volume of silt skeleton modulus and pore-fluid
Modulus, F are the deviation that pore-fluid is generated with frequency increase.The velocity of wave c of waterω=1500kg/m3, Kr=3.2 × 1010Pa, Kf
=2.395 × 109Pa, η=0.001Kg/m*s.
ρ=β ρf+(1-β)ρs (2)
τx=K0τz (13)
τy=K0τz (14)
τz=(1- β) (ρs-ρf)gz (15)
The value range of δ is 0.1~0.3, K0=0.5, g are acceleration of gravity, and z is water-sediment interface depth below
Degree, δb=0.1, δs=0.1.
F is determined by (16)-(19) formula:
Attenuation coefficient α is determined by (20)-(24) formula:
A=C2-HM (20)
Attenuation coefficient α=Im { k1Im expression imaginary part (24)
Reflection R (β, κ, f) is determined by (25) formula:
Wherein,B1=ρf
ω2, B2=Hk1 2-Ck1 2G1, B3=Hk2 2-Ck2 2G2C2=Mk1 2G1-Ck1 2, C3=Mk2 2G2-Ck2 2;
2.1 from shallow seismic profile data extract reflection R (f) calculation method it is as follows: transmitting and receive signal, from
Sub-bottom profiler, which receives, extracts water-surface layer sediment interface reflection coefficient in signal.Emit signal S (f)=E (f) Hs
(f), received spectrum can indicate are as follows:
r1For energy converter to water-bed distance, E (f) is the frequency spectrum of source signal, HsIt (f) is the transfer function of Sonar system, E*
(f) complex conjugate function for being E (f), R (f) are reflection coefficient.Reflection coefficient is calculated using the received secondary wave signal of sonar, two
Subwave may be expressed as: by compressed spectrum
r2For the sum of the distance and the depth of water that energy converter distance is water-bed.Water-bed reflection signal is reflected by air-water interface,
Then it is received by underwater reflection by energy converter, reception signal is secondary wave.Reflection coefficient is -1.Formula (26) is obtained divided by formula (27)
To reflection coefficient:
2.2 relaxation time trWith the method for building up of reflection signal frequency shift Δ f relation curve
The calculation method of signal transient frequency:
S (t) is signal,For Hilbert transformation, E (t) is function envelope, and φ (t) is phase, φ (t)=- jloge
[z (t)/E (t)], the instantaneous frequency of s (t) are
The signal of sub-bottom profiler transmitting is linear FM signal S (f), is calculated by the calculation method of signal transient frequency
The instantaneous frequency f of S (f)1。
The transfer function of silt:
Wherein f is frequency, and x is propagation distance of the sound wave in silt,V is propagation of the sound wave in silt
Speed.Only consider that frequency shift effect of the sound wave in communication process, reflection signal are expressed as B'(f)=S (f) Ha(f).X=1m is taken,
By the calculation method of signal transient frequency, B'(f is calculated in numerical value) instantaneous frequency f2, Δ f=f1-f2.Obtain trWith frequency displacement
The relation curve of Δ f;
2.3 methods for calculating attenuation coefficient α:
According to 2.2, signal transient frequency f is reflected from river water-surface layer silt is extracted in A'(f)1With surface layer silt-bottom mud
The instantaneous frequency f of husky interface reflection signal2, Δ f=f1-f2, by trRelaxation time t is obtained with the relation curve of frequency displacement Δ fr,
By formula (30), attenuation coefficient of the sound wave in silt:
α=k'f2 (31)
2.4 methods that porosity is searched according to porosity-reflection coefficient curve:
Porosity β and median particle diameter φ (unit phi, φ=- log2dmm, dmmFor the partial size of sand grain) experience it is public
Formula
β=0.208+0.0943 φ -0.00334 φ2 (32)
The empirical equation of permeability κ and porosity β, i.e. Kozeny-Carman formula
D is silt median particle diameter, and K is empirical estimation, when particle is circular tube shaped, K=2;When particle is spherical, K
=5,
By formula (25) and formula (33), the relation curve template of median particle diameter d, porosity β, frequency f and reflection coefficient is obtained.
A method of detection river bed surface layer silt physical property, its step are as follows:
(1) shallow seismic profile sonic data is extracted, calculates acoustic reflection coefficient R (f) by 2.1;
(2) by 2.2, shallow seismic profile data are analyzed, frequency displacement Δ f is calculated, finds relaxation time tr;
(3) FM signal centre frequency is taken by 2.3, f, calculates attenuation coefficient α;
(4) by 2.4, porosity is searched according to porosity-reflection coefficient curve, convolution (32), (33) calculate permeability
κ, κ is only used as initial value here;
(5) silt velocity of wave c is calculated by formula (1) and formula (33);
(6) permeability-attenuation coefficient curve is calculated, according to the attenuation coefficient α of step (2), inquires permeability;
(7) step (4)-(7) are repeated, are calculated by successive ignition, as porosity βnWith previous iteration value βn-1Difference is smaller
When (| βn-1-βn|/βn< 3%), stop iteration;
(8) silt density p is calculated by formula (2), calculates reflection R (f) by formula (25);
(9) permeability κ, silt velocity of wave c, reflection R (f), attenuation coefficient α, silt density p are exported.
The utility model has the advantages that
(1) this method can obtain a variety of silt physical parameters, enrich shoal materials information.
(2) this method can obtain underwater sediment physical parameter merely with shallow bottom section plotter, save human and material resources, and improve
Working efficiency.
(3) this method can obtain more accurate silt parameter information, provide data supporting for researchs such as river dynamics.
Detailed description of the invention
Fig. 1 is sampling process schematic diagram of the present invention;
Fig. 2 is calculation flow chart of the present invention;
Fig. 3 is relation curve (f=3700Hz) figure of reflection R (f) and porosity β;
Fig. 4 is unit apart from frequency displacement Δ f and relaxation time trRelation curve;
Fig. 5 is that sub-bottom profiler receives 47 μ s of signal sampling interval.
Specific embodiment
Below with reference to embodiment, technical solution of the present invention is further described in detail.
Embodiment 1
A method of detection river bed surface layer silt physical property, by taking Xiaolangdi reservoir area as an example:
36 section of Xiaolangdi reservoir area, 1 measuring point, sub-bottom profiler transmitted signal bandwidth 500-7000Hz, time width
20ms.The frequency displacement Δ f at the upper and lower interface of surface layer silt is 88Hz, frequency displacement the Δ f=18Hz, attenuation coefficient α of unit distance=
0.04, reflection R=0.17.By calculating, permeability κ=4.46 × 10-13, porosity β=67.66%, silt velocity of wave c
=1370m/s, silt density p=1549.4kg/m3。
Embodiment 2
A method of detection river bed surface layer silt physical property, by taking 4 section of Reservoir Area of Sanmenxia as an example:
4 section of Reservoir Area of Sanmenxia, 1 measuring point, sub-bottom profiler transmitted signal bandwidth 500-7000Hz, time width 20ms.It is single
The frequency displacement Δ f of position distance is 71Hz, attenuation coefficient α=0.094, reflection R=0.16.By calculating, permeability κ=3.89
×10-11, porosity β=0., silt velocity of wave c=1503m/s, silt density p=1412kg/m3。
Embodiment 3
A method of detection river bed surface layer silt physical property, by taking 8 section of Reservoir Area of Sanmenxia as an example:
8 section of Reservoir Area of Sanmenxia, 1 measuring point, sub-bottom profiler transmitted signal bandwidth 500-7000Hz, time width 20ms.It is single
The frequency displacement Δ f=104Hz of position distance, attenuation coefficient α=0.136, reflection R=0.34.By calculating, permeability κ=
6.49×10-12, porosity β=0.46, silt velocity of wave c=1623m/s, silt density p=1921kg/m3。
Although above the present invention is described in detail with a general description of the specific embodiments,
On the basis of the present invention, it can be made some modifications or improvements, this will be apparent to those skilled in the art.Cause
This, these modifications or improvements, fall within the scope of the claimed invention without departing from theon the basis of the spirit of the present invention.
Claims (2)
1. a kind of method for detecting river bed surface layer silt physical property, it is characterised in that: related formula and parameter is as follows:
K is wave number,For angular frequency, f is frequency, and c is pore media velocity of wave, ρfAnd ρsRespectively pore-fluid density and silt
Grain density, and be known constant, ρ is silt volume density, and η indicates pore water viscosity, and κ is permeability, KrIt is sand grain
Bulk modulus, μ are the modulus of shearing of silt frame, KbAnd KfThe bulk modulus of silt skeleton modulus and pore-fluid is respectively indicated,
F is the deviation that pore-fluid is generated with frequency increase, the velocity of wave c of waterω=1500kg/m3, Kr=3.2 × 1010Pa, Kf=
2.395×109Pa, η=0.001Kg/m*s;
ρ=β ρf+(1-β)ρs (2)
τx=K0τz (13)
τy=K0τz (14)
τz=(1- β) (ρs-ρf)gz (15)
The value range of δ is 0.1~0.3, K0=0.5, g are acceleration of gravity, and z is water-sediment interface depth below, δb
=0.1, δs=0.1;
F(ε)It is determined by (16)-(19) formula:
Attenuation coefficient is determined by (20)-(24) formula:
A=C2-HM (20)
Attenuation coefficient=Im { k1Im expression imaginary part (24)
Reflection R (β, κ, f) is determined by (25) formula:
Wherein,B1=ρf
ω2, B2=Hk1 2-Ck1 2G1, B3=Hk2 2-Ck2 2G2, C2=Mk1 2G1-Ck1 2, C3=Mk2 2G2-Ck2 2;
2.1 from shallow seismic profile data extract reflection R (f) calculation method it is as follows: transmitting and receive signal, from shallowly
Layer section plotter, which receives, extracts river water-surface layer sediment interface reflection coefficient in signal, emit signal S (f)=E (f) Hs(f),
Received spectrum can indicate are as follows:
r1For energy converter to water-bed distance, E (f) is the frequency spectrum of source signal, HsIt (f) is the transfer function of Sonar system, E*(f)
For the complex conjugate function of E (f), R (f) is acoustic reflection coefficient;Sound wave reflection system is calculated using the received secondary wave signal of sonar
Number R (f), secondary wave may be expressed as: by compressed spectrum
r2For the sum of the distance and the depth of water that energy converter distance is water-bed, water-bed reflection signal is reflected by air-water interface, then
It is received by underwater reflection by energy converter, reception signal is secondary wave, and reflection coefficient is negative, obtains sound wave reflection by formula (28)
Coefficients R (f):
2.2 relaxation time trWith the method for building up of reflection signal frequency shift Δ f relation curve
The calculation method of signal transient frequency:
S (t) is signal,For Hilbert transformation, E (t) is function envelope, and φ (t) is phase, φ (t)=- jloge[z
(t)/E (t)], the instantaneous frequency of s (t) is
The signal of sub-bottom profiler transmitting is linear FM signal S (f), calculates S (f) by the calculation method of signal transient frequency
Instantaneous frequency f1,
The transfer function of silt:
Wherein f is frequency, and x is propagation distance of the sound wave in silt,V is spread speed of the sound wave in silt,
Only consider that frequency shift effect of the sound wave in communication process, reflection signal are expressed as B'(f)=S (f) Ha(f), x=1m is taken, by believing
B'(f is calculated in the calculation method of number instantaneous frequency, numerical value) instantaneous frequency f2, Δ f=f1-f2;Obtain trWith frequency displacement Δ f
Relation curve;
2.3 methods for calculating attenuation coefficient α of the sound wave in silt:
According to 2.2, signal transient frequency f is reflected from river water-surface layer silt is extracted in A'(f)1It is handed over surface layer silt-bottom sediment
The instantaneous frequency f of interface reflection signal2, Δ f=f1-f2, by trRelaxation time t is obtained with the relation curve of frequency displacement Δ fr,
Attenuation coefficient α=k'f of the sound wave in silt2 (31)
2.4 methods that porosity is searched according to porosity-reflection coefficient curve:
The unit of median particle diameter φ is phi, φ=- log2dmm, dmmFor the partial size of sand grain, porosity β and median particle diameter φ
Empirical equation
β=0.208+0.0943 φ -0.00334 φ2 (32)
The empirical equation of permeability κ and porosity β, i.e. Kozeny-Carman formula
D is silt median particle diameter, and K is empirical estimation, when particle is circular tube shaped, K=2;When particle is spherical, K=5,
By formula (25) and formula (33), the relation curve template of median particle diameter d, porosity β, frequency f and reflection coefficient is obtained.
2. a kind of method for detecting river bed surface layer silt physical property, its step are as follows:
(1) shallow seismic profile sonic data is extracted, by the calculation method for extracting reflection R (f) from shallow seismic profile data
As follows: transmitting and reception signal receive from sub-bottom profiler and extract river water-surface layer sediment interface reflection system in signal
Number emits signal S (f)=E (f) Hs(f), received spectrum can indicate are as follows:
r1For energy converter to water-bed distance, E (f) is the frequency spectrum of source signal, HsIt (f) is the transfer function of Sonar system, E*(f)
For the complex conjugate function of E (f), R (f) is reflection coefficient;Reflection R (f) is calculated using the received secondary wave signal of sonar, two
Subwave may be expressed as: by compressed spectrum
r2For the sum of the distance and the depth of water that energy converter distance is water-bed, water-bed reflection signal is reflected by air-water interface, then
It is received by underwater reflection by energy converter, reception signal is secondary wave, and reflection coefficient is negative, obtains sound wave reflection by formula (28)
Coefficients R (f):
It calculates acoustic reflection coefficient R (f);
(2) shallow seismic profile data are analyzed, frequency displacement Δ f is calculated, finds relaxation time tr
The calculation method of signal transient frequency:
S (t) is signal,For Hilbert transformation, E (t) is function envelope, and φ (t) is phase, φ (t)=- jloge[z(t)/
E (t)], the instantaneous frequency of s (t) is
The signal of sub-bottom profiler transmitting is linear FM signal S (f), calculates S (f) by the calculation method of signal transient frequency
Instantaneous frequency f1,
The transfer function of silt:
Wherein f is frequency, and x is propagation distance of the sound wave in silt,V is spread speed of the sound wave in silt,
Only consider that frequency shift effect of the sound wave in communication process, reflection signal are expressed as B'(f)=S (f) Ha(f), x=1m is taken, by believing
B'(f is calculated in the calculation method of number instantaneous frequency, numerical value) instantaneous frequency f2, Δ f=f1-f2;Obtain trWith frequency displacement Δ f
Relation curve, calculate frequency displacement Δ f, find relaxation time tr;
(3) f takes FM signal centre frequency, calculates attenuation coefficient α
Signal transient frequency f is reflected from river water-surface layer silt is extracted in A'(f)1With surface layer silt-bottom sediment interface reflection
The instantaneous frequency f of signal2, Δ f=f1-f2, by trRelaxation time t is obtained with the relation curve of frequency displacement Δ fr,
α=k'f2(31);
(4) method that porosity is searched according to porosity-reflection coefficient curve:
The unit of median particle diameter φ is phi, φ=- log2dmm, dmmFor the partial size of sand grain, porosity β and median particle diameter φ
Empirical equation
β=0.208+0.0943 φ -0.00334 φ2 (32)
The empirical equation of permeability κ and porosity β, i.e. Kozeny-Carman formula
D is silt median particle diameter, and K is empirical estimation, when particle is circular tube shaped, K=2;When particle is spherical, K=5,
By formula (25) Obtain the relation curve template of median particle diameter d, porosity β, frequency f and reflection coefficient;
(5) by formula (1)Calculate pore media velocity of wave c;
(6) permeability-attenuation coefficient curve is calculated, according to the attenuation coefficient α of step (3), inquires permeability;
(7) step (4)-(6) are repeated, are calculated by successive ignition, as porosity βnWith previous iteration value βn-1When difference is smaller, |
βn-1-βn|βn< 3% stops iteration;
(8) by formula (2) ρ=β ρf+(1-β)ρsSilt volume density ρ is calculated, by formula (25)It calculates reflection R (f);
(9) permeability κ, pore media velocity of wave c, attenuation coefficient α, silt volume density ρ are exported,
By formula (25)What is calculated is anti-
Penetrate coefficients R (f).
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