叠前波阻抗反演方法
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摘要
本文依据反散射理论，利用Born近似将非线性波动算子线性化，通过格林函数建立散射波场与散射势能的关系；再由WKBJ近似给出随深度变化的格林函数的解析表达式，得到散射波场的解析解；并针对大入射角时振幅的畸变，提出一个用于振幅修正的因子。该方法在ω-P域内实现，可以解决把地震资料作为线震源响应所引起的深层能量太弱的问题
This method includes the following steps:. Linearization of nonlinear wave operator with the aid of inverse scattering theory and Born approximation . Using Green'S function to determine the relation between scattering wave field and scattering potential energy . To derive analytic scattering wave-field solution from the depth-dependent analytic expression of Green's function that is obained by making WKBJ approximation . To offer an amplitude revision operator to cope with amplitude distortion due to big incident angles The method works in w-p domain. It can be used to settle the problem of too weak deep energies which arises when we take seismic data as linear source responses.
This method includes the following steps:. Linearization of nonlinear wave operator with the aid of inverse scattering theory and Born approximation . Using Green'S function to determine the relation between scattering wave field and scattering potential energy . To derive analytic scattering wave-field solution from the depth-dependent analytic expression of Green's function that is obained by making WKBJ approximation . To offer an amplitude revision operator to cope with amplitude distortion due to big incident angles The method works in w-p domain. It can be used to settle the problem of too weak deep energies which arises when we take seismic data as linear source responses.
引文
1Clayton R W and Stolt R H. A Born-WKBJ inversion method for acoustic reflection data.Geophysics,1981, 46(11):1559～1567
2 Ikelle L T, Diet J P and Tarantola A. Linearized inversion of multioffset seismic reflection data in the w-k domain: Depth-dependent reference medium.Geophysics,1988, 53(1): 50～ 64
3田振平,严昌言.球面波的平面波分解算法.石油地球物理勘探,1993,28(6):737～742
4 Carrion P M and Kuo J T. A method for computation of velocity profiles by inversion of large-offsetrecords. Geophysics, 1984,49(8):1249、1258
5 Temme P. A comparision of common-midpoint single-shot and plane-wave depth migration.Geophysics,1984,49(11):1896～1907
2 Ikelle L T, Diet J P and Tarantola A. Linearized inversion of multioffset seismic reflection data in the w-k domain: Depth-dependent reference medium.Geophysics,1988, 53(1): 50～ 64
3田振平,严昌言.球面波的平面波分解算法.石油地球物理勘探,1993,28(6):737～742
4 Carrion P M and Kuo J T. A method for computation of velocity profiles by inversion of large-offsetrecords. Geophysics, 1984,49(8):1249、1258
5 Temme P. A comparision of common-midpoint single-shot and plane-wave depth migration.Geophysics,1984,49(11):1896～1907
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