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本文讨论并处理了震源位置和速度结构联合反演中的问题和困难。正交投影算子的引入不仅使这一问题的数学描述简洁,物理解释清楚,而且参数分离之后,与震源有关的方程组是相容的。这就使得有可能通过台网的适当布局,获得地震定位的唯一解。 在数值方面,本文还提出了利用矩阵的块结构采取顺序正交三角化的方法,减轻了内存的困难。如果结合等价模型和快速射线追踪过程的利用,可大大提高联合反演的实用性。
This paper discusses and deals with the problems and difficulties in joint inversion of source position and velocity structures. The introduction of orthogonal projection operator not only makes the mathematical description of the problem simple and the physical interpretation is clear, but also the equations of the source-related equations are compatible after the parameter separation. This makes it possible to obtain the only solution to the seismic location via the appropriate layout of the network. In numerical terms, this paper also proposed the use of matrix block structure to take sequential orthogonal triangulation method, reducing the memory difficulties. Combining equivalence models with the use of fast ray tracing can greatly enhance the utility of joint inversion.