3D TTI double-phase medium seismic wave field value simulation method based on finite difference method

Abstract

The invention discloses a 3D TTI double-phase medium seismic wave field value simulation method based on a finite difference method. The 3D TTI double-phase medium seismic wave field value simulation method comprises steps of obtaining a solid and fluid stress tensor and a solid and flow strain tensor and transforming the tensors to a constitutive equation, obtaining a geometry equation according to the corresponding relation of stress and the displacement, obtaining a motion differential equation according to the constitutive equation, the geometry equation and the fluid motion relative to the solid and the corresponding relation between the stress and the displacement, taking the divergence on two ends of the motion differential equation to obtain a first longitudinal wave equation and a second longitudinal wave equation of the seismic wave, as for the first longitudinal wave equation and the second longitudinal equation, enabling a partial derivative to y to be zero and performing difference discrete on the space partial derivative and the time partial derivative by employing an 2N order precision expansion formula and a 2-order precision center difference form to obtain a first difference equation and a second difference equation, and performing boundary absorbing condition processing on the first difference equation and the second difference equation to obtain the corresponding seismic wave field value. The invention realizes the real-time transmission simulation of the physics seismic wave field.

Description

technical field [0001] The invention relates to the technical field of seismic exploration, in particular to a combined AVO inversion method of PP waves and PS waves using average incident angle gathers. Background technique [0002] Oil and natural gas are indispensable and important energy sources for economic construction and human life. The supply of oil and gas directly affects the pace of economic development and people's living standards in countries all over the world. and the primary goal of geologists. my country has become an oil importing country since 1993, and the import volume has increased year by year. How to get rid of the national economy's dependence on oil and gas imports and increase domestic oil and gas production is the main task facing my country's oil and gas industry. [0003] The increase of oil and gas production is based on the increase of new oil and gas reserves and remaining oil reserves ascertained by geological exploration, which requires ...

AI Technical Summary

Problems solved by technology

Practice has found that the classical model of tight media cannot describe the wave propagation process in the oil layer well, and it needs to be improved

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