CN111562613B - Method for analyzing seismic wave frequency-dependent reflection coefficient of thin reservoir or mutual reservoir model - Google Patents
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Abstract
The invention relates to a method for analyzing a seismic wave frequency-dependent reflection coefficient of a thin reservoir or mutual reservoir model, which comprises the following steps: step 1: describing an actual oil and gas reservoir by using a modified Biot-jet flow pore medium model, and describing a top plate layer and a bottom plate layer of the oil and gas reservoir by using a common single-phase medium model; step 2: solving and correcting a Biot-jet flow pore medium wave equation according to stress, strain and fluid pressure continuous conditions of a stratum interface to generate a seismic wave reflection coefficient of a thin (mutual) layer reservoir; and step 3: generating the reflection of the seismic waves at the reservoir interface along with the change of the frequency according to the seismic wave reflection coefficient of the thin (mutual) layer reservoir, and the relation between the transmission coefficient and the seismic wave incident angle; the method overcomes the defect that the traditional analysis method does not strictly consider the condition that the reservoir is a typical multiphase pore medium, can be used for analyzing the change of the reflection seismic amplitude of the thin (mutual) layer reservoir along with the frequency and the incidence angle, and provides method support for the seismic prediction of the oil and gas reservoir.
Description
Technical Field
The invention relates to an amplitude interpretation technology in oil and gas reservoir reflection seismic exploration, in particular to a method for analyzing seismic wave frequency-dependent reflection coefficients of a thin reservoir or mutual reservoir model for correcting Biot-jet flow.
Background
In the development of oil gas exploration and development for more than 150 years, the demand of social development on energy is greatly met, and inexhaustible power is provided for the sustainable development of economy and society of various countries in the world. Reflection seismic amplitude interpretation technology (AVO technology and the like) is an important method for reservoir seismic prediction, and the core of the method is to study the change of the reflection coefficient of seismic reflection waves at a reservoir interface along with the incidence angle. The modern oil and gas seismic exploration develops towards reservoir fine description and micro-pore structure research, and a thin (mutual) layer reservoir prediction technology is a difficult technology. The reservoir is a typical pore medium, and the reservoir seismic prediction technical research based on the pore medium wave propagation model is more consistent with the actual medium form and receives more and more attention.
A plurality of evidences indicate that seismic waves have a high frequency dispersion effect in a reservoir, the phase velocity and the attenuation change along with the frequency, and further, the reflection coefficient also has a frequency variation effect. The frequency-dependent reflection coefficient provides more analyzable attributes for reservoir seismic prediction. Therefore, the method for analyzing and researching the frequency-dependent reflection coefficient of the seismic wave of the thin (mutual) reservoir model based on the pore medium wave propagation theory has important scientific research and application value for oil and gas seismic exploration and prediction.
For the reservoir seismic wave reflection coefficient analysis technology, a common method is to use a Zoeppritz equation based on a single-phase medium to analyze the change of the reflection coefficient along with the incident angle. However, the Zoeppritz equation is complex and not practical. In 1961, bortfeld proposed a simplified formula, but the relationship between Bortfeld and lithology was not clear and was not popularized. In 1983, hilterman divides the longitudinal wave reflection coefficient in the Bortfeld formula into a rigid factor and a fluid factor, gives the wave reflection coefficients of longitudinal waves and transverse waves, and has a complex equation. In 1985, shuey simplified the longitudinal wave reflection coefficient in Aki and Richards formulas, and the longitudinal wave reflection coefficient is decomposed into a plurality of units and is easy to apply on a computer. Many oil and gas reservoirs exist in the form of thin (mutual) layers, and the analysis of the seismic reflection coefficient of the thin (mutual) layers is always the difficulty of the prediction of the reflection seismic reservoirs.
Many researchers have developed thin (inter) layer seismic reflections based on Zeoppritz's simplified equations for single phase media (Kallweit et al, 1982, liu et al, 2003, lu et al, 2019). With the increased awareness of reservoirs, hydrocarbon reservoirs are increasingly recognized as typical pore media. The reflection coefficient of seismic waves should develop based on the pore medium theory. 1990. In the years, wanshanghai studied the propagation of elastic waves in two-phase media, and derived the equations for the reflection coefficient and transmission coefficient of elastic waves in two-phase media. In 1992, the reflection and transmission of sound waves at the interface of a two-phase medium were known from a series of studies by Johngxiao et al. In 2006, yong school and so on studied the two-phase medium AVO equation and parameter simplification thereof based on the Biot model, and the practicability of the two-phase medium AVA equation is enhanced through parameter simplification in the process.
In 2015, lihongxing and the like derived AVA equations of wave reflection and transmission at an interface containing a multiphase medium based on an improved BISQ multiphase medium theory. With the development of petrophysics, people realize that the frequency range of seismic waves is also in dispersion in size, and particularly, the dispersion is more obvious when the seismic waves propagate in oil and gas reservoirs. Chapman (2005), guo chile et al (2016) performed frequency-dependent AVO analyses based on a viscoelastic model. As the pore media continues to evolve theoretically, researchers have further realized that fluid flow at the mesoscopic scale is a significant cause of wave attenuation and dispersion. The seismic reflection wave amplitude reservoir prediction based on the pore medium theory can accurately and directly describe the fluid in the oil and gas reservoir.
In summary, the following problems mainly exist in the research of the existing method: the vast majority of reservoir seismic reflection coefficient analysis is based on a simplified Zeoppritz equation of a single-phase medium, and the characteristics of multiphase and pore media of the reservoir are not considered. Meanwhile, the frequency-dependent reflection coefficient analysis is also based on the equivalent medium thought, and the fluid characteristics of the oil and gas reservoir are difficult to accurately describe. Furthermore, no seismic reflection coefficient analysis method studies based on thin (inter) layers of porous media have been found.
Disclosure of Invention
The invention aims to solve the defects in the prior art and provides a frequency-dependent reflection coefficient analysis method for seismic waves of a thin reservoir or mutual reservoir model for correcting a Biot-jet flow, so as to analyze the change rule of the reflection coefficient of the seismic waves of seismic exploration reflected by the thin (mutual) reservoir along with the frequency and the incident angle.
In order to achieve the aim, the invention provides a method for analyzing the frequency-dependent reflection coefficient of seismic waves of a thin reservoir or interburden model of a modified Biot-jet flow, which comprises the following steps:
step 1: describing an actual oil and gas reservoir by using a modified Biot-jet flow pore medium model, and describing a top plate layer and a bottom plate layer of the oil and gas reservoir by using a common single-phase medium model;
step 2: solving and correcting a Biot-jet flow pore medium wave equation according to stress, strain and fluid pressure continuous conditions of a stratum interface to generate a seismic wave reflection coefficient of a thin (mutual) layer reservoir;
and step 3: and generating the reflection of the seismic waves at the reservoir interface along with the change of the frequency according to the thin (mutual) layer reservoir seismic wave reflection coefficient, and the relation between the transmission coefficient and the seismic wave incidence angle.
Further, in step 1, the modified Biot-jet pore media model used to describe the actual hydrocarbon reservoir is as follows:
ρ 1 =(1-φ)ρ s
ρ 2 =φρ f
ρ 12 =-ρ a
ρ 11 =ρ 1 +ρ 12
ρ 22 =ρ 2 +ρ 12 ;
wherein,
λ -pore medium framework elastic modulus;
μ — pore medium framework shear modulus;
α 0 -the pore elastic coefficient;
b-dissipation factor;
u-solid phase displacement vector;
u-liquid phase displacement vector
F-Biot flow coefficient;
s-jet flow coefficient;
ρ s -solid phase particle density;
ρ f -pore fluid density;
ρ a -solid-flow coupling density;
phi-porosity;
p-fluid pressure.
Further, in the step 2, the stress, strain and fluid pressure continuous conditions of the formation interface are as follows:P 1 =P 2 | z=0 , P 2 =P 3 | z=h , />
wherein,
σ -stress;
h-thin (inter) layer thickness;
subscript x, z-the direction of the vector components of displacement, stress, etc.;
upper/ subscript 1,2,3 — reservoir overburden media, reservoir pore media, reservoir underburden media.
Substituting the boundary conditions into a modified Biot-jet flow pore medium wave equation to generate a thin-layer reservoir seismic wave reflection coefficient solving equation: [ BD ] 1 -D 2 ]R T And =0, generating a solution equation of seismic wave reflection coefficients of the thin interbed reservoir:
wherein:
B=MWM -1
E lm =A l +2N l cos 2 α lm +(Q 1 +R 1 )v lm +Q l
G lm =N l sin 2α lm
H lm =N l cos 2α lm
S lm =φ l (1-v lm )cosα lm
wherein,
k is the complex number of waves;
alpha-angle;
a, N-elastic parameters of the framework without water drainage;
q, R-solid-fluid coupling elastic parameter;
v-fluid-solid displacement ratio;
l =1,2,3-reservoir overburden media, reservoir pore media, reservoir underburden media;
m =1,2,3-fast longitudinal wave, slow longitudinal wave, converted transverse wave;
p1, p2, s-fast longitudinal wave, slow longitudinal wave, and converted transverse wave.
The embodiment of the invention has the beneficial effects that:
the invention provides a novel reflection coefficient (amplitude) analysis method in reflection seismic exploration of a thin (mutual) layer oil and gas reservoir, and overcomes the problem that the traditional analysis does not strictly consider the current situation that the reservoir is a typical multiphase pore medium.
Aiming at the difficulty of analyzing the reflection seismic amplitude of the thin (mutual) layer reservoir, the method analyzes the reflection coefficient changing along with the frequency and the incident angle based on the multiphase pore medium model, has good applicability, can be used for analyzing the reflection seismic amplitude of the thin (mutual) layer reservoir changing along with the frequency and the incident angle, and provides method support for the seismic prediction of the oil and gas reservoir.
Drawings
FIG. 1 is a flow chart of a seismic wave frequency-dependent reflection coefficient analysis method for a modified Biot-jet flow thin (mutual) reservoir model according to an embodiment of the present invention;
FIG. 2 is a model explanatory diagram of a thin (inter) layer hydrocarbon reservoir in accordance with an embodiment of the present invention;
FIG. 3 is a flow chart of calculating seismic reflection coefficients of a thin (inter) reservoir in accordance with an embodiment of the present invention;
FIG. 4 is a reservoir parameter of an embodiment of the present invention;
FIG. 5 is a graph of reflection coefficient as a function of frequency and angle of incidence for (a) thick reservoirs, (b) thin reservoirs, according to an embodiment of the present invention;
FIG. 6 is a graph showing the variation of reflection coefficient with frequency and incident angle for different thicknesses of thin layers in accordance with an embodiment of the present invention;
FIG. 7 is a graph of the slow longitudinal wave velocity and inverse quality factor analysis of the model at different lacunarity;
FIG. 8 is a graph of the analysis of the slow longitudinal wave velocity and inverse quality factor of the model at different permeabilities;
FIG. 9 is a graph of the analysis of the slow compressional velocity and inverse quality factor of the model at different gas saturations.
Detailed Description
In order to make the purpose, technical solution and advantages of the embodiments of the present invention more apparent, the embodiments of the present invention are further described in detail below with reference to the accompanying drawings. The present invention is described in detail with reference to the accompanying drawings, which are incorporated in and constitute a part of this specification.
Referring to fig. 1 to 9, the present embodiment provides a method for seismic frequency-dependent reflection coefficient analysis of a modified Biot-jet thin reservoir or mutual reservoir model, as shown in fig. 1, the method including:
step S1: and describing an actual oil and gas reservoir by using a modified Biot-jet flow pore medium model, and describing a top plate layer and a bottom plate layer of the oil and gas reservoir by using a common single-phase medium model.
Fig. 2 is an explanatory diagram of a thin (inter) hydrocarbon reservoir model, which is described using a modified Biot-jet multiphase pore medium model:
ρ 1 =(1-φ)ρ s
ρ 2 =φρ f
ρ 12 =-ρ a
ρ 11 =ρ 1 +ρ 12
ρ 22 =ρ 2 +ρ 12 ;
wherein,
lambda is the pore medium framework elastic modulus;
μ -pore medium framework shear modulus;
α 0 -the pore elastic coefficient;
b-dissipation factor;
u-solid phase displacement vector;
u-liquid phase displacement vector
F-Biot flow coefficient;
s-jet flow coefficient;
ρ s -solid phase particle density;
ρ f -pore fluid density;
ρ a -solid-flow coupling density;
phi-porosity;
p-fluid pressure.
Step S2: and solving and correcting a Biot-jet flow pore medium wave equation according to the stress, strain and fluid pressure continuous conditions of the stratum interface to generate the seismic wave reflection coefficient of the thin (mutual) layer reservoir.
Fig. 3 is a process of calculating the seismic wave reflection coefficient of the thin (inter) reservoir in the invention, and in step S2, the continuous conditions of stress, strain and fluid pressure at the formation interface are as follows:
wherein σ is stress;
h-thin (inter) layer thickness;
subscripts x, z-the direction of vector components of displacement, stress, etc.;
upper/ subscript 1,2,3 — reservoir overburden media, reservoir pore media, reservoir underburden media.
Substituting the boundary conditions into a modified Biot-jet flow pore medium wave equation to generate a thin-layer reservoir seismic wave reflection coefficient solving equation: [ BD ] 1 -D 2 ]R T And =0, generating a solution equation of seismic wave reflection coefficients of the thin interbed reservoir:
wherein:
B=MWM -1
E lm =A l +2N l cos 2 α lm +(Q 1 +R 1 )v lm +Q l
G lm =N l sin 2α lm
H lm =N l cos 2α lm
S lm =φl l (1-v lm )cosα lm
wherein,
k is the complex number of waves;
alpha-angle;
a, N-elastic parameters of the framework without water drainage;
q, R-solid-fluid coupling elastic parameter;
v-fluid-solid displacement ratio;
l =1,2,3-reservoir overburden media, reservoir pore media, reservoir underburden media;
m =1,2,3-fast longitudinal wave, slow longitudinal wave, converted transverse wave;
p1, p2, s-fast longitudinal wave, slow longitudinal wave, transverse wave.
The present invention is illustrated by the following specific examples.
The reservoir parameters are shown in figure 4.
The thickness of the thin (inter) layer reservoir is 5 m, which is less than the seismic wave wavelength.
Fig. 5 shows the variation of the reflection coefficient of the reflected seismic wave with frequency and incidence angle for a thin reservoir, and the variation of the reflection coefficient of the reflected seismic wave with frequency and incidence angle for a thick reservoir (the thickness is much larger than the seismic wavelength).
Fig. 6 shows the variation of reflection coefficient of the reflected seismic wave with frequency and incident angle when the thickness of the thin layer is different.
From the above, the invention provides a novel reflection coefficient (amplitude) analysis method in reflection seismic exploration of thin (mutual) layer oil and gas reservoirs, and overcomes the problem that the traditional analysis does not strictly consider the current situation that the reservoirs are typical multiphase pore media. The method is used for analyzing the reflection seismic amplitude variation of the thin (mutual) reservoir stratum along with the frequency and the incidence angle based on the multiphase pore medium model aiming at the difficulty of the reflection seismic amplitude analysis of the thin (mutual) reservoir stratum, has good applicability, can be used for analyzing the reflection seismic amplitude variation of the thin (mutual) reservoir stratum along with the frequency and the incidence angle, and provides method support for the seismic prediction of the oil and gas reservoir stratum.
The above-mentioned embodiments, objects, technical solutions and advantages of the present invention are further described in detail, it should be understood that the above-mentioned embodiments are only examples of the present invention, and are not intended to limit the scope of the present invention, and any modifications, equivalent substitutions, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (1)
1. A method for analyzing seismic wave frequency-dependent reflection coefficients of a thin reservoir or mutual reservoir model is characterized by comprising the following steps:
step 1: describing an actual oil and gas reservoir by using a modified Biot-jet flow pore medium model, and describing a top plate layer and a bottom plate layer of the oil and gas reservoir by using a common single-phase medium model;
step 2: solving and correcting a Biot-jet flow pore medium wave equation according to stress, strain and fluid pressure continuous conditions of a stratum interface to generate a seismic wave reflection coefficient of a thin reservoir or a mutual reservoir;
and step 3: generating the reflection of the seismic waves at the reservoir interface along with the change of the frequency according to the reflection coefficient of the seismic waves of the thin reservoir or the mutual reservoir, and the relation between the transmission coefficient and the incident angle of the seismic waves;
in step 1, the modified Biot-jet pore media model used to describe the actual hydrocarbon reservoir is as follows:
wherein,
In the step 2, the continuous conditions of stress, strain and fluid pressure of the formation interface are as follows:
wherein,
upper/lower 1,2,3-reservoir overburden media, reservoir pore media, reservoir underburden media;
substituting the boundary conditions into a modified Biot-jet flow pore medium wave equation to generate a thin-layer reservoir seismic wave reflection coefficient solving equation:generating a solution equation of the seismic wave reflection coefficient of the thin interbed reservoir:;
wherein:
wherein,
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