时间推移地震反演的连续模型与算法

针对时间推移地震反演问题建立了依赖勘探时间的数学模型，并在此基础上设计了全局收敛的连续型及逐次递归算法.将同伦方法与Tikhonov正则化方法相结合，设计了初次勘探反演的同伦-正则化方法.以三维时间推移地震为例，在连续型及逐次递归算法的基础上构造了快速的局域化反演算法.数值模拟结果说明了上述方法都是有效的.

Continuous models and algorithms for time-lapse seismic inversion

Mathematical models for time-lapse seismic inversion are designed, which depend on the prospecting time. On the basis of this kind of models, the globally convergent continuous and recursive algorithms are constructed. For the first seismic prospecting inversion, a homotopy method and Tikhonov regularization are combined into the homotopy-regularization method. As a concrete example for the 3-D time-lapse seismic problem , a localized inversion algorithm is designed based on the continuous and recursive methods. Numerical simulations indicate that these methods are effective.