P–SV‐wave propagation in heterogeneous media: grid method
SUMMARY We present a new numerical modelling algorithm for P–SV‐wave propagation in heterogeneous media, which is named the grid method in this paper. Similar to the finite‐element method in the discretization of a numerical mesh, the grid method is flexible in incorporating surface topography and c...
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| Published in | Geophysical journal international Vol. 136; no. 2; pp. 431 - 438 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford, UK
Blackwell Publishing Ltd
01.02.1999
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0956-540X 1365-246X |
| DOI | 10.1111/j.1365-246X.1999.tb07129.x |
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| Abstract | SUMMARY
We present a new numerical modelling algorithm for P–SV‐wave propagation in heterogeneous media, which is named the grid method in this paper. Similar to the finite‐element method in the discretization of a numerical mesh, the grid method is flexible in incorporating surface topography and curved interfaces. The grid method, in the same way as the staggered‐grid finite‐difference scheme, is developed from the first‐order velocity–stress hyperbolic system of elastic wave equations. The free‐surface conditions are satisfied naturally for the grid method. The method, with its small numerical dispersion and good stability, is of high accuracy and low computational cost. Each time step needs 34M+N multiplication operations and 26M+N addition operations for N nodes and M triangular grids. In this paper, the triangular grid method is discussed in detail, and the numerical dispersion, stability criterion and numerical simulations are presented. The grid method based on triangular grids and quadrangular grids is also studied here. |
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| AbstractList | SUMMARY
We present a new numerical modelling algorithm for P–SV‐wave propagation in heterogeneous media, which is named the grid method in this paper. Similar to the finite‐element method in the discretization of a numerical mesh, the grid method is flexible in incorporating surface topography and curved interfaces. The grid method, in the same way as the staggered‐grid finite‐difference scheme, is developed from the first‐order velocity–stress hyperbolic system of elastic wave equations. The free‐surface conditions are satisfied naturally for the grid method. The method, with its small numerical dispersion and good stability, is of high accuracy and low computational cost. Each time step needs 34M+N multiplication operations and 26M+N addition operations for N nodes and M triangular grids. In this paper, the triangular grid method is discussed in detail, and the numerical dispersion, stability criterion and numerical simulations are presented. The grid method based on triangular grids and quadrangular grids is also studied here. |
| Author | Tielin, Liu Jianfeng, Zhang |
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| References | 1987; 24 1976; 41 1990; 55 1982; 19 1986; 51 1997; 87 1997; 10 1982; 72 1986; 23 1997; 131 1997; 25 1974 1992; 108 1975; 42 1983; 72 1994; 59 1988; 53 1995; 120 Smith (10.1111/j.1365-246X.1999.tb07129.x-BIB13|cit13) 1975; 42 Zahradnik (10.1111/j.1365-246X.1999.tb07129.x-BIB16|cit16) 1995; 120 Levander (10.1111/j.1365-246X.1999.tb07129.x-BIB9|cit9) 1988; 53 Cerveny (10.1111/j.1365-246X.1999.tb07129.x-BIB2|cit2) 1983; 72 Joe (10.1111/j.1365-246X.1999.tb07129.x-BIB6|cit6) 1986; 23 Zhang (10.1111/j.1365-246X.1999.tb07129.x-BIB17|cit17) 1997; 131 Moczo (10.1111/j.1365-246X.1999.tb07129.x-BIB11|cit11) 1997; 87 Ohminato (10.1111/j.1365-246X.1999.tb07129.x-BIB12|cit12) 1997; 87 Cook (10.1111/j.1365-246X.1999.tb07129.x-BIB4|cit4) 1974 Gottlieb (10.1111/j.1365-246X.1999.tb07129.x-BIB5|cit5) 1982; 19 Kosloff (10.1111/j.1365-246X.1999.tb07129.x-BIB8|cit8) 1990; 55 Virieux (10.1111/j.1365-246X.1999.tb07129.x-BIB15|cit15) 1986; 51 Zhang (10.1111/j.1365-246X.1999.tb07129.x-BIB18|cit18) 1997; 25 Baehmann (10.1111/j.1365-246X.1999.tb07129.x-BIB1|cit1) 1987; 24 Chapman (10.1111/j.1365-246X.1999.tb07129.x-BIB3|cit3) 1982; 72 Tessmer (10.1111/j.1365-246X.1999.tb07129.x-BIB14|cit14) 1992; 108 Kelly (10.1111/j.1365-246X.1999.tb07129.x-BIB7|cit7) 1976; 41 Magnier (10.1111/j.1365-246X.1999.tb07129.x-BIB10|cit10) 1994; 59 Zhang (10.1111/j.1365-246X.1999.tb07129.x-BIB19|cit19) 1997; 10 |
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We present a new numerical modelling algorithm for P–SV‐wave propagation in heterogeneous media, which is named the grid method in this paper. Similar... |
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| SubjectTerms | elastic‐wave theory finite difference finite element grid method seismic modelling |
| Title | P–SV‐wave propagation in heterogeneous media: grid method |
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