Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (7): 751-760.

• Articles • Previous Articles     Next Articles

SIMULATION SEISMIC WAVE PROPAGATION IN TOPOGRAPHIC STRUCTURES USING ASYMMETRIC STAGGERED GRIDS

SUN Wei-tao 1,2, Yang Huizhu1   

  1. 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China;
    2. Department of Computer Science &Technology, Tsinghua University, Beijing 100084, P. R. China
  • Received:2002-10-25 Revised:2004-03-25 Online:2004-07-18 Published:2004-07-18
  • Supported by:

    the Chinese National Petroleum Corporation-Tsinghua Foundation (2002CXKF-4)

Abstract: A new 3D finite-difference(FD) method of spatially asymmetric staggered grids was presented to simulate elastic wave propagation in topographic 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 introduced finite difference formula solved the asymmetric problem arisen in non-uniform staggered grid scheme.The method had no interpolation between the fine and coarse grids.All grids were computed at the same spatial iteration.Complicated geometrical structures like rough submarine interface,fault and nonplanar interfaces were treated with fine irregular grids.Theoretical analysis and numerical simulations show that this method saves considerable memory and computing time,at the same time,has satisfactory stability and accuracy.

Key words: finite difference, asymmetric staggered grid, seismic wave

2010 MSC Number: 

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