纵、横波分离的数值模拟研究
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摘要
从弹性波方程散度和旋度求取入手,通过引入等价方程,论证了纵波为无旋场、横波为无散场理论。利用有限差分模拟各向同性介质中的地震波场,并分别计算散度场和旋度场。结果表明,在满足差分范围内速度无剧烈变化的情况下,通过该方法能有效地分离出纵、横波场。另外,旋度运算的矢量性质造就了分离后的记录在震源两侧极性反向的特性,而这一特性与野外采集的横波数据在物理特性方面极其相似。
Wave equation divergency and the rotation demand fetched secondary elasticity starting,by leading into equivalent equation,a longitudinal wave was expounded and proven for the nothing whorl and transversal wave.And limited difference was used to simulate the earthquake wave in isotropy medium,the result is used for calculating the scattered degree sum whorl degree respectively to indicate the jump under the situation that speed has no acute change within difference range,the characteristics are similar to the transversal wave that collected physical property in the field.
Wave equation divergency and the rotation demand fetched secondary elasticity starting,by leading into equivalent equation,a longitudinal wave was expounded and proven for the nothing whorl and transversal wave.And limited difference was used to simulate the earthquake wave in isotropy medium,the result is used for calculating the scattered degree sum whorl degree respectively to indicate the jump under the situation that speed has no acute change within difference range,the characteristics are similar to the transversal wave that collected physical property in the field.
引文
[1]Sun R.Separating P-Wave and S-waves in a prestack2-di mensional elastic seismogram[J].61th Ann Mtg,Eur Assn Geosci Eng Ex-tended Abstracts,1999.6～23.
[1]Dankbaar J W M.Separation of P-waves and S-waves[J].Geophysical Prospecting,1985,33:970～986.
[2]Devaney AJ,Oristaglio ML.A plane-wave decomposition for elastic wave fields applied to the separation of P-waves and S-waves in vector seismic data[J].Geophysics,1986,51:419～423.
[3]Dellinger J,Etnen J.Wave-field separationin two-di mension anisotropic media[J].Geophysics,1990,55:914～919.
[1]Dankbaar J W M.Separation of P-waves and S-waves[J].Geophysical Prospecting,1985,33:970～986.
[2]Devaney AJ,Oristaglio ML.A plane-wave decomposition for elastic wave fields applied to the separation of P-waves and S-waves in vector seismic data[J].Geophysics,1986,51:419～423.
[3]Dellinger J,Etnen J.Wave-field separationin two-di mension anisotropic media[J].Geophysics,1990,55:914～919.
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