# US 12,112,106 B2 · Media parameter-modified method for realizing an adaptive expression of an arbitrary discontinuous surface

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- Number: US 12,112,106 B2
- Document ID: US12112106B2
- Status: Granted
- Kind: B2
- Application number: 17/393,317
- Filed: 2021-08-03
- Published: 2023-01-19
- Granted: 2024-10-08
- Earliest claimed: 2021-07-07
- Assignees: Institute of Geology and Geophysics, Chinese Academy of Sciences
- Applicants: Institute of Geology and Geophysics, Chinese Academy of Sciences
- Inventors: Jian Cao; Shoudong Huo; Xuhui Zhou; Taikun Shi; Liang Huang; Jiaru Zou
- Web page: https://patentgrep.com/patent/US12112106B2

## CPC

- G06F 30/23: using finite element methods [FEM] or finite difference methods [FDM]
- G01V 1/282: {Application of seismic models, synthetic seismograms}
- G01V 1/30: Analysis (G01V1/50 takes precedence)
- G01V 1/01: Measuring or predicting earthquakes
- G01V 2210/64: Geostructures, e.g. in 3D data cubes
- G06F 2111/10: Numerical modelling
- Y02T 90/00: Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
- G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N)
- G01V: GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS (means for indicating the location of accidentally buried, e.g. snow-buried, persons A63B29/02)
- Y02T: CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION

## Abstract

A media Parameter-modified method for realizing an adaptive expression of an arbitrary discontinuous surface, comprising the following steps: importing an initial forward model, importing anisotropic parameters; and setting a space step and a time step according to the initial forward model parameters; and then starting a stepped discretization of a free surface of the initial forward model; and using a corrected constitutive relationship to correct a first level parameter of the initial forward model; and bringing the corrected constitutive relationship into a displacement stress equation, and the influence of the free surface can be introduced in the case of the anisotropic media after series of operation. The present disclosure can make an accurate numerical simulation of a wave field near the discontinuous surface, and the accurate numerical simulation will contribute to the extraction and analysis of information from the seismic data.

## Claims

### Claim 1

A media parameter-modified method for realizing an adaptive expression of an arbitrary discontinuous surface, comprising following steps:
S1: importing an initial forward model, and the initial forward model includes a velocity and a density of vertical and horizontal waves, setting a seismic wavelet type and a main frequency parameter, and setting a space step and a time step according to initial forward model parameters;
S2: selecting the space step and the time step according to the initial forward model parameters; and setting a differential order-number and a seismic wavelet;
S3: starting a stepped discretization of a free surface of the initial forward model when a surface of the initial forward model fluctuates, and turning an irregular undulating ground into a regular stepped grid;
S4: using a media Parameter-modified method to correct a constitutive relationship and a density of non-horizontal points on the free surface;
S5: using a corrected constitutive relationship to replace an original constitutive relationship on the free surface, and an influence of the free surface introduced without correcting an original finite difference method code; and
S6: for generalized anisotropic media, including orthorhombic anisotropic media and triclinic anisotropic media, bringing the corrected constitutive relationship into a finite difference method code to introduce the influence of the free surface.

### Claim 2 (depends on 1)

The media parameter-modified method for realizing an adaptive expression of an arbitrary discontinuous surface according to claim 1, wherein: the free surface includes a fluid free surface and a solid free surface.

### Claim 3 (depends on 1)

The media parameter-modified method for realizing an adaptive expression of an arbitrary discontinuous surface according to claim 1, wherein: a discontinuous surface includes a fluid-solid discontinuous surface and a fluid-vacuum discontinuous surface.

### Claim 4 (depends on 1)

The media parameter-modified method method for realizing an adaptive expression of an arbitrary discontinuous surface according to claim 1, wherein: for the anisotropic media, anisotropic parameters are imported.

### Claim 5 (depends on 1)

The media parameter-modified method for realizing an adaptive expression of an arbitrary discontinuous surface according to claim 1, wherein: the anisotropic media is suitable for a solid free surface part.