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在地震波速度和地震波 值层析成像中，对于非线性反演问题解的可靠性研究非常重要．为了讨论ＡＲＴ（ＡｌｇｅｂｒａｉｃＲｅｃｏｎｓｔｒｕｃｔｉｏｎ Ｔｅｃｈｎｉｑｕｅ）、ＳＶＤ（Ｓｉｎｇｕｌａｒ ＶａｌｕｅＤｅｃｏｍｐｏｓｉｔｉｏｎ）、ＬＳＱＷ（ＬｅａｓｔＳｕａｒｅ）３种方法的算法稳定性以及反演效果，本研究将这３种算法用于求解非常病态问题和一般稳定问题，根据数值计算结果，分别给出了在非常病态问题和一般稳定问题中３种算法的相对误差及其算法稳定性评价．进而针对３种算法在同一地质模型上的速度成像结果进行了比较，为地震层析成像反演效果分析提供了定量参数．
In the seismic wave velocity and seismic wave tomography, it is very important to study the reliability of the solution to the nonlinear inversion problem. In order to discuss the algorithm stability and the inversion results of three methods (ART (Algebraic Reconstruction Technique), SVD (Singular ValueDecomposition) and LSQW (LeastSuare), these three algorithms are used to solve the very pathological and general stability problems. The results show that the relative errors of the three algorithms and the evaluation of the stability of the algorithms are given respectively for the very ill-posed problems and the general stability problems. Then the velocity imaging results of the three algorithms on the same geological model are compared, which provides the quantitative parameters for the seismic tomography inversion effect analysis.