Moment tensor decomposition is a method for deriving the isotropic (ISO), double-couple (DC), and compensated linear vector dipole (CLVD) components from a seismic moment tensor. Currently, there are two families of methods, namely, standard moment tensor decomposition and Euclidean moment tensor decomposition. Although both methods can usually provide workable solutions, there are some minor inconsistencies between the two methods: an equality inconsistency that occurs in standard moment tensor decomposition and the pure CLVD unity and flip basis inconsistency encountered in Euclidean moment tensor decomposition. Moreover, there is a sign problem when disentangling the CLVD component from a DC-dominated case. To address these minor inconsistencies, we propose a new moment tensor decomposition method inspired by both previous methods. The new method can not only avoid all these minor inconsistencies but also withstand deviations in ISO- or CLVD-dominated cases when using source-type diagrams.

矩张量分解是一种从地震矩张量推导各向同性（ISO），双耦合（DC）和补偿线性矢量偶极子（CLVD）分量的方法。当前，有两种方法，即标准矩张量分解和欧氏矩张量分解。尽管这两种方法通常都可以提供可行的解决方案，但是这两种方法之间存在一些细微的不一致：标准矩张量分解中发生的等式不一致以及欧几里德矩张量分解中遇到的纯CLVD统一和翻转基础不一致。此外，当将CLVD组件与以DC为主的情况分开时，会出现信号问题。为了解决这些细微的矛盾，我们提出了一种新的矩张量分解方法，该方法受前两种方法的启发。