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Bayesion 非线性反演法可用来反演超临界反射的旅行时和振幅。在反射球形波振幅用Sommerfeld 积分给定时,利用球形波模型即可测定反射振幅。这种积分通过求复杂平面上等值线的积分,即可用数字表示。在 P 和 S 折射的临界点周围范围内,球形波模型不同于平面波模型。在这些范围内,球形波振幅对频率很敏感,而且与比值 H/λ有关。文中,本反演法的精度以及球形反射模型,都已用休斯敦大学物理模型室获得的控制资料作了验证。反演获得的解与已知解是一致的,对所有的参数来说,误差在3%之内,而且球形波模型预测获得的振幅,与观测资料是非常一致的。
The Bayesian nonlinear inversion method can be used to retrieve the travel time and amplitude of supercritical reflections. Reflected spherical wave amplitude Sommerfeld integral given, the use of spherical wave model can be measured reflection amplitude. This integral can be expressed in numbers by seeking the integral of the contour on a complex plane. In the area around the critical point of P and S refraction, the spherical wave model is different from the plane wave model. In these ranges, the amplitude of the spherical wave is very frequency sensitive and depends on the ratio H / λ. In this paper, the accuracy of the inversion method and the spherical reflection model have all been validated using control data obtained from the Physical Modeling Room of the University of Houston. The solution obtained by inversion is consistent with the known solution, with an error of 3% for all parameters, and the amplitude obtained from the prediction of the spherical wave model is in good agreement with the observed data.