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基于非线性动力学,阐明地震道广义线性反演系统的动力学性质,并以微分动力系统理论分析了反演的数值计算过程及结果.应用混沌控制理论对反演数值计算中的非线性发散进行了讨论,并给出了一种新的控制方案,数值模型实验表明此控制方案对反演中出现的非线性发散能够进行有效控制,反演结果与理论模型完全吻合.在此基础上对大庆某地的地震剖面进行处理,取得了一定的效果.
Based on the nonlinear dynamics, the dynamic properties of the generalized linear inversion system of the seismic trace are clarified. The numerical calculation process and the results of the inversion are analyzed based on the differential dynamic system theory. The nonlinear divergence in numerical calculation of inversion is discussed with chaos control theory and a new control scheme is given. Numerical experiments show that this control scheme can effectively control the nonlinear divergence in the inversion. The inversion result exactly matches the theoretical model. On the basis of this, the seismic section of a certain place in Daqing is treated and a certain effect has been achieved.