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Combined absorbing boundary condition applied to sound wave finite difference numerical simulation

A technology that absorbs boundary conditions and finite difference. It is used in special data processing applications, electrical digital data processing, instruments, etc. It can solve problems such as difficulty in differential calculation and poor absorption of large-angle incident waves.

Active Publication Date: 2016-03-30
OCEAN UNIV OF CHINA
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Problems solved by technology

The high-order Clayton-Enquist absorbing boundary method is difficult to achieve differential calculation, so in actual simulation, the Clayton-Enquist absorbing boundary method can usually only be applied to the second-order absorbing boundary condition, and its absorption effect on large-angle incident waves is poor

Method used

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  • Combined absorbing boundary condition applied to sound wave finite difference numerical simulation
  • Combined absorbing boundary condition applied to sound wave finite difference numerical simulation
  • Combined absorbing boundary condition applied to sound wave finite difference numerical simulation

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Embodiment 1

[0030] The present invention adopts combined absorption boundary conditions, and combines the PML boundary conditions of the fourth-order exponential absorption attenuation factor with Higdon's third-order absorption boundary conditions in the process of calculating the finite difference of the acoustic wave equation, and constructs a combined boundary area at the artificial truncation boundary, That is, the Higdon third-order absorbing boundary condition is used on the grid points of the N layer outside the PML (the spatial precision of the finite difference scheme is 2N), which significantly improves the boundary absorbing effect of the forward modeling.

[0031] The main implementation process of the present invention is divided into two steps: utilize acoustic wave equation to carry out staggered grid finite difference numerical simulation, construct L-layer PML at artificial truncated boundary, apply PML boundary condition to absorb the boundary reflection wave from center ...

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Abstract

The invention discloses a combined absorbing boundary condition applied to sound wave finite difference numerical simulation, and belongs to the field of seismic exploration numerical simulation. The combined absorbing boundary condition applied to the sound wave finite difference numerical simulation specifically comprises the following steps of: when sound wave equation numerical simulation is performed based on a 2N-order (N>0) accuracy staggered-mesh finite difference scheme, at first, setting L (L>N) perfectly matched layers (PML) at an artificial truncated boundary, and absorbing boundary reflected waves from a central wave field by using a PML boundary condition; and then, for N layers of boundaries outside the PML, by using an Higdon three-order absorbing boundary condition, absorbing outer boundary reflexes of the PML. According to the method provided by the present invention, by fully utilizing the advantages of both the PML boundary condition and the Higdon three-order absorbing boundary condition are fully utilized, the boundary reflexes of inner layers and outer layers of artificial boundaries can be effectively absorbed, thereby achieving high-accuracy finite difference numerical simulation.

Description

technical field [0001] The invention belongs to the field of seismic exploration numerical simulation, in particular to a combined absorption boundary condition applied to acoustic wave finite difference numerical simulation. Background technique [0002] Seismic wave forward modeling is a method that simplifies the real underground formation medium into a mathematical model, and then uses numerical calculation methods to simulate the propagation of seismic waves in the model. Numerical simulation is an important means to understand the law of seismic wave propagation in media and to help identify effective information in measured data. In the numerical simulation of seismic exploration based on computer, limited by the storage capacity and computing power of the current computer, it is necessary to introduce artificial truncation boundaries to define the calculation area for geological models in infinite space, but simply artificial truncation will lead to Strong reflectio...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 李婧张晓波王磊宋鹏谭军李金山夏冬明姜秀萍赵波李沅衡
Owner OCEAN UNIV OF CHINA
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