阻尼广义逆重磁反演

INVERSION OF GRAVITV AND MAGNETIC ANOMALIES USING GENERALIZED INVERSE MATRIX WITH A DAMPING

广义逆反演通过距阵的奇异值分解来实现,可降低方程的条件数,利于保留原始信息,提高解的稳定性;可对解的分辨率和数据拟合程度进行评价;能指示初始阻尼因子的选择,加速安全稳定收敛的进程,并评估初始参量和模型选择的合理性。理论模型和应用实例表明了该方法的上述特点和有效性。

Solving the inversion problem of geophysical data using the generalizedinverse matrix with a damping has more advantages over other methods.This inversion is carried out by the singular value decomposition of amatrix. It can reduce the condition number of the equations in order toretain original information and enhance the stability of the solutions. Itcan appraise the resolution of the solutions and the fitness of data. It alsoindicates a choice of the first damping factor to speed up thc procedure ofsafe-stable convergence and evaluates the rationality of the initial para-meters and chosen models. The above-mentioned characteristics and effi-ciency of the method are shown by analyses of the theoretical models andapplied example.