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中文摘要：
正则化反演通过引入模型约束和正则化因子求解病态的地球物理反演问题，但该方法存在正则化因子选取困难和初始模型依赖的问题。针对该问题，本文提出多目标粒子群反演算法。该算法反演中不需要目标函数梯度信息和正则化因子，先同时求数据拟合和模型约束的多目标反演解集，再权衡两者的相对重要程度，最后从反演解集中优选出最终反演结果，从而起到正则化因子的作用。以二维磁测数据反演为例，进行理论模型反演试验，试验结果表明，多目标粒子群反演算法能尽可能多地保留可行解，得到反演解集；通过分析反演解集，既能深入的理解反演过程，又能灵活地从数据拟合和模型约束两方面进行权衡与选择，得到比正则化反演更合理的反演结果；该算法能同时解决正则化因子选取困难和初始模型依赖问题。
英文摘要：
Regularization inversion uses constraints and a regularization factor to solve ill- posed inversion problems in geophysics. The choice of the regularization factor and of the initial model is critical in regularization inversion. To deal with these problems, we propose a multiobjective particle swarm inversion （MOPSOI） algorithm to simultaneously minimize the data misfit and model constraints, and obtain a multiobjective inversion solution set without the gradient information of the objective function and the regularization factor. We then choose the optimum solution from the solution set based on the trade-off between data misfit and constraints that substitute for the regularization factor. The inversion of synthetic two-dimensional magnetic data suggests that the MOPSOI algorithm can obtain as many feasible solutions as possible; thus, deeper insights of the inversion process can be gained and more reasonable solutions can be obtained by balancing the data misfit and constraints. The proposed MOPSOI algorithm can deal with the problems of choosing the right regularization factor and the initial model.
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