PML absorption boundary based three-dimensional sound wave numerical simulation method

A technology of numerical simulation and absorption boundary, applied in the field of oil and gas exploration, which can solve the problems of increased memory usage, complex PML boundary processing, and many auxiliary variables.

Active Publication Date: 2015-07-08
SHANDONG UNIV OF SCI & TECH
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Problems solved by technology

[0009] It can be seen that the technical problem of the above method 1 is that too many auxiliary variables are introduced, and the PML boundary processing is more complicated;
[0010] Although the above m

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  • PML absorption boundary based three-dimensional sound wave numerical simulation method
  • PML absorption boundary based three-dimensional sound wave numerical simulation method
  • PML absorption boundary based three-dimensional sound wave numerical simulation method

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Embodiment Construction

[0029] Below in conjunction with accompanying drawing and specific embodiment the present invention is described in further detail:

[0030] A three-dimensional acoustic wave numerical simulation method based on the PML absorbing boundary, such as figure 1 As shown, it mainly includes the following steps:

[0031] 1. Define the hybrid grid

[0032] Assuming that the velocity model can be discretized into a three-dimensional grid of N×N×N, there are M layers of PML absorbing layers on each surface.

[0033] 1.1 Apply a regular grid in the internal calculation area, the wave field pressure P is only defined on the integer nodes of the regular grid, and N is required 3 variable of floating point type;

[0034] 1.2 The staggered grid is applied in the PML absorption region, the wave field pressure P is defined on the integer nodes of the staggered grid, and the velocity component v of the particle x ,v y ,v z and medium density, which are respectively defined on half of the...

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Abstract

The invention discloses a PML absorption boundary based three-dimensional sound wave numerical simulation method. The method mainly comprises the following steps of S1, applying regular grids in an internal computation region, and defining wave field pressure only on regular grid integer nodes; applying staggered grids in a PML absorption region, defining wave field pressure on staggered grid integer nodes, and defining particle velocity components and medium density on staggered grid half nodes; S2, updating wave field pressure values through a second-order hyperbolic partial differential wave equation in the internal computation region; calculating particle velocity components and wave field pressure values through a first-order stress velocity-equation in the PML absorption region. By the aid of the method, the memory requiring amount is reduced, the simulative model scale is expanded, and the PML boundary processing is simple. The method is particularly applicable to seismic wave numerical simulation or reverse-time migration in the oil-gas exploration field.

Description

technical field [0001] The invention belongs to the field of oil and gas exploration, and relates to a three-dimensional acoustic wave numerical simulation method based on PML absorption boundaries. Background technique [0002] In the 3D acoustic wave simulation based on the PML absorption boundary, the calculation area is divided into two parts: one is the internal calculation area, and the other is the PML absorption area, such as figure 2 As shown in , the gray shaded part of the boundary represents the PML absorption area, and the internal blank is the internal calculation area. ① indicates the corner boundary of the PML absorption area, and ② indicates the edge boundary of the PML absorption area. [0003] Taking the model with N×N×N three-dimensional grid and PML boundary thickness as M grid points as an example, there are two simulation methods: [0004] Method 1: Use a regular grid, that is, all physical quantities and pressure values ​​are defined on the grid node...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 林年添王守进丁仁伟张建彬赵传伟魏乾乾杨修超刘向超文博张栋
Owner SHANDONG UNIV OF SCI & TECH
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