多波动力学射线模型及制作
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摘要
采用非均匀介质弹性波方程级数解的零阶近似，得到了能量沿射线管传播的守恒定律，结合波前曲率的解析算法及Ｚｅｏｐｐｒｉｔｚ方程的精确解，较准确的算出了起伏层状介质中多种波的能量系数，并由程函方程出发导出了射线微分方程组，用龙格—库塔法解此方程组，由打靶法迭代算出了固定炮检距上多波的走时及反射线路径参数，从而完成了多波模型正演计算．
y using the zero order approximation of series solution of elastic wave equation for inhomogeneous medium,the law of energy conservation of the energy transmitting along the ray tube was obtained.And by combining the analytic algorithm of wavefront curvature and the accurate solution of Zeoppritz equation,energy coefficients of multi-waves in undulating medium were calculated more exactly.The travel time and ray parameters between two points were calculated by soluing a group of differential equations by iterative algorithm,completing the forward calculation of multi-wave model.
y using the zero order approximation of series solution of elastic wave equation for inhomogeneous medium,the law of energy conservation of the energy transmitting along the ray tube was obtained.And by combining the analytic algorithm of wavefront curvature and the accurate solution of Zeoppritz equation,energy coefficients of multi-waves in undulating medium were calculated more exactly.The travel time and ray parameters between two points were calculated by soluing a group of differential equations by iterative algorithm,completing the forward calculation of multi-wave model.
引文
1CerenyVandRavlndraR．Theoryofseismicheadwaver．Toronto：TorontUnivPress19712AkiKandRichmaresPG．QuantitativeSeismology，theoryandmethods1Press．W．H．FreemanandCo，19803汪晔．射线追踪法复杂构造弹性波正演计算．北京：石油大学出版社，1991
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