SUN Wei-tao, YANG Hui-zhu. Simulation Seismic Wave Propagation in Topographic Structures Using Asymmetric Staggered Grids[J]. Applied Mathematics and Mechanics, 2004, 25(7): 686-694.
Citation: SUN Wei-tao, YANG Hui-zhu. Simulation Seismic Wave Propagation in Topographic Structures Using Asymmetric Staggered Grids[J]. Applied Mathematics and Mechanics, 2004, 25(7): 686-694.

Simulation Seismic Wave Propagation in Topographic Structures Using Asymmetric Staggered Grids

  • Received Date: 2002-10-25
  • Rev Recd Date: 2004-03-25
  • Publish Date: 2004-07-15
  • A new 3D finite-difference(FD)method of spatially asymmetric staggered grids was presented to simulate elastic wave pro pagation in to pographic structures.The method approximated the first-order elastic wave equations by irregular grids finite difference operator with second-order time precise and fourth-order spatial precise.Additional intro duced finite difference formula solved the asymmetric problem arisen in non-uniform staggered grid scheme.The method had nointer polation between the fine and coarse grids.All grids were computed at the same spatial iteration.Complicated geometrical structures like rough submarine inter face,fault and nonplanar inter faces were treated with fine irregular grids.Theor etical analysis and numerical simulations show that this method saves consider able memory and computing time,at the same time,has satisfactory stability and accuracy.
  • loading
  • [1]
    Alterman Z,Karal F C Jr.Propagation of elastic waves in layered media by finite difference methods[J].Bulletin f the Seismological Society of America,1968,58(1):367—398.
    [2]
    Kelly K R,Ward R W,Treiter S,et al.Synthetic seismograms,a finite difference approach[J].Geophysics,1976,41(1):2—27. doi: 10.1190/1.1440605
    [3]
    Virieux J.SH-wave propagation in heterogeneous media:velocity-stress finite-difference method[J].Geophysics,1984,49(11):1933—1942. doi: 10.1190/1.1441605
    [4]
    Virieux J.P-SV wave propagation in heterogeneous media.velocity-stress finite-difference method[J].Geophysics,1986,51(4):889—901. doi: 10.1190/1.1442147
    [5]
    Shortley G H,Weller R.Numerical solution of Laplace's equation[J].J Appl Phys,1938,9(5):334—348. doi: 10.1063/1.1710426
    [6]
    Jastram C,Tessmer E.Elastic modeling on a grid with vertically varying spacing[J].Geophys Prosp,1994,42(2):357—370. doi: 10.1111/j.1365-2478.1994.tb00215.x
    [7]
    Falk J.Tessmer E,Gajewski D.Tube wave modeling by the finite-differences method with varying grid spacing[J].Pure Appl Geophys,1996,148(3):77—93. doi: 10.1007/BF00882055
    [8]
    Tessmer E,Kosloff D,Behle A.Elastic wave propagation simulation in the presence surface topography[J].Geophys J Internat,1992,108(2):621—632. doi: 10.1111/j.1365-246X.1992.tb04641.x
    [9]
    Hestholm S O,Ruud B O.2-D finite-difference elastic wave modeling including surface topography[J].Geophys Prosp,1994,42(2):371—390. doi: 10.1111/j.1365-2478.1994.tb00216.x
    [10]
    Oprsal I,Jiri Zahradnik.Elastic finite-difference method for irregular grids[J].Geophysics,1999,64(1):240—250. doi: 10.1190/1.1444520
    [11]
    Moczo P.Finite-difference technique for SH-waves in 2-D media using irregular grids—application to the seismic response problem[J].Geophys J Internat,1989,99(1):321—329. doi: 10.1111/j.1365-246X.1989.tb01691.x
    [12]
    Pitarka A.3D elastic finite-difference modeling of seismic motion using staggered grids with nonuniform spacing[J].Bull Seism Soc Am,1999,89(1):54—68.
    [13]
    SUN Wei-tao,YANG Hui-zhu.Elastic wavefield calculation for heterogeneous anisotropic porous media using the 3-D irregular-grid finite-difference[J].Acta Mechanica Solida Sinica,2003,16(4):283—299.
    [14]
    孙卫涛,杨慧珠.各向异性介质弹性波传播的三维不规则网格有限差分方法[J].地球物理学报,2004,47(2):332—337.
    [15]
    Levander A R.Fourth-order finite-difference P-SV seismograms[J].Geophysics,1988,53(11):1425—1436. doi: 10.1190/1.1442422
    [16]
    Higdon R L.Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation[J].Mathematics of Computation,1986,47(141):437—459.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2485) PDF downloads(533) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return