震源位置和速度结构的联合反演（Ⅰ）——理论和方法

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。

SIMULTANEOUS INVERSION OF EARTHQUAKE HYPOCENTERS AND VELOCITY STRUCTURE（I）--THEORY AND METHOD

In this paper, the problem of simultaneous inversion for earthquake location and velocity structure is discussed, and the difficultes encountered in the inversion are discussed. After separating velocity parameters from hypocentre parameters, the introduction of an orthogonal projection operator has made the system of equations for hypocentre parameters consistent. Thus, it is possible to obtain a unique solution of earthquake location in the classical sense through appropriate distribution of seismograph network.With respect to numerical values, it is suggested that to adopt methods of matrix block structure and sequential orthogonal triangularization, can save computer storage. If simultaneously combined with equivalent models and the rapid procedure of ray tracing, the practicability of joint inversion can yet be improved.