Tilted layered viscoelasticity dielectric medium wave field forward modelling method

Abstract

The invention discloses a tilted layered viscoelasticity dielectric medium wave field forward modelling method. The method aims at viscoelasticity layered medium, wherein a geologic model of the viscoelasticity layered medium is provided with a tilted interface, a spherical wave stimulated by a point source is decomposed into a plane wave, a character that vector wave equation does not rely on a coordinate system is utilized, under a fixed coordinate system and a moving coordinate system which changes along with the tilted interface, spreading of waves is alternately discussed, firstly, reflection and transmission coefficients of the plane wave of a single tilted interface are deduced through traditional reflection and transmission coefficients, reflection and transmission waves of the interface are obtained, then the reflection and transmission coefficients of the plane wave when passing through multiple tilted interfaces are obtained by recurrence, and finally plane waves after transmitted are combined to obtain a point source excitation wave field. In the process of combination, a rapid oscillatory integral calculation method and an integral path which is suitable for viscoelasticity medium are adopted.

Description

technical field [0001] The invention belongs to the technical field of seismic exploration, and relates to a simulation method, in particular to a wave field forward simulation method in an inclined layered viscoelastic medium. Accurate forward modeling technology. Background technique [0002] Wave field simulation plays an important role in oil and gas exploration. Although there are many types of wave field simulation methods, the development of wave field simulation theory and methods has always been a very active research field according to the requirements of the problems to be solved. In addition, in fields such as oil and gas exploration, in order to interpret seismograms or perform data inversion, it is often necessary to simulate only specified types of waves, such as simulating only one reflection wave, or only simulating converted waves, etc. There are many types of commonly used wave field simulation methods, such as methods based on ray theory, numerical solut...

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Problems solved by technology

[0003] The ray method can be applied to more complex medium models, and can simulate waves of interest according to a given ray code, and the calculation speed is fast; the disadvantage is that it is only a high-frequency approximation of the wave equation, which is used to simulate complex Seismic Response of Reservoirs Has Limitations

However, these methods are not suitable for layered viscoelastic media with inclined interfaces

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