Method for calculating frequency dispersion attenuation of longitudinal waves in horizontal layered medium along layer direction
A horizontal direction, horizontal layer technology, applied in seismic signal processing, sustainable transportation and other directions, can solve problems such as narrow application range
Pending Publication Date: 2022-08-05
HUNAN UNIV OF SCI & TECH
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[0002] The article "The influence of mesoscopic flow on the P-wave attenuation and dispersion in a porous media permeated by aligned fractures" published by Deng Jixin and others in 2012 mainly studies the effect of mesoscopic fluid flow on the P-wave in porous media permeated by aligned fractures. The influence of dispersion and attenuation, they analyzed the influence of fluid flow on the dispersion and attenuation of longitudinal waves in a specific situation, that is, when the longitudinal wave is perpendicular to the fracture, the scope of application is too narrow
However, when the actual longitudinal wave propagates in the layered medium, its propagation direction can be in any direction; in particular, the longitudinal wave can propagate in the direction parallel to the layer, and the research on the dispersion attenuation of the longitudinal wave propagating in this direction can be used as an example of the dispersion attenuation of the incident longitudinal wave in any direction. It is important to lay the foundation for computing, but it is not documented in the existing literature
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[0059] The present invention will be further described below with reference to the accompanying drawings and embodiments.
[0060] Based on the White periodic layered medium model, the time-varying horizontal solid displacement is applied to the left and right sides of the model, considering that when the elastic wave propagates in the fluid-saturated porous medium, the pore pressure will change to a certain extent. Pore pressure gradient can cause relatively large relative motion between viscous pore fluid and solid skeleton, resulting in inelastic behavior of the medium in the whole macroscopic properties, such as attenuation, velocity dispersion, etc. Based on the White periodic layered medium model, the present invention uses the Biot equation and pore elasticity theory to give mathematical analytical expressions of physical quantities such as pore pressure and horizontal stress in the model medium, and calculates the horizontal longitudinal longitudinal wave mode based o...
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The invention discloses a method for calculating frequency dispersion attenuation of longitudinal waves in a horizontal layered medium along a layer direction. The method comprises the following steps: establishing a periodic layered medium model; setting boundary conditions; constructing a stress-strain constitutive equation; obtaining an ordinary differential equation of the pore pressure; solving the ordinary differential equation to obtain an expression of pore pressure, and solving stress in the horizontal direction; solving a horizontal stress mean value in the layered medium; and obtaining a complex variable modulus based on the horizontal strain and the horizontal stress mean value, and solving the frequency dispersion and attenuation of the horizontal longitudinal wave by using the complex variable modulus. According to the method, equal displacements are applied to the left side and the right side of a periodic layered porous medium model, so that the problem that boundary displacements are discontinuous due to different related physical properties of the layered porous medium under the condition that the same stress is applied is solved, and longitudinal wave velocity dispersion and energy attenuation characteristics are discussed.
Description
technical field [0001] The invention relates to the field of seismic exploration, in particular to a method for calculating the dispersion attenuation of longitudinal waves in a horizontal layered medium along the layered direction. Background technique [0002] In the article "The influence of mesoscopic flow on the P-wave attenuation and dispersion in a porous media permeated by aligned fractures" published in 2012 by Deng Jixin et al. The effect of dispersion and attenuation, they analyzed the effect of fluid flow on the dispersion and attenuation of longitudinal waves in a specific case, that is, when the longitudinal waves are perpendicular to the fracture, and the scope of application is too narrow. However, when the actual longitudinal wave propagates in the layered medium, its propagation direction can be along any direction; in particular, the longitudinal wave can propagate in the direction parallel to the plane, and the dispersion attenuation of the longitudinal w...
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IPC IPC(8): G01V1/28G01V1/30
CPCG01V1/282G01V1/306Y02T90/00
Inventor 廖建平文萍郭俊鑫刘和秀张青周林徐云贵龙文高王立歆
Owner HUNAN UNIV OF SCI & TECH