一种新的地球物理反演方法——模拟原子跃迁反演法

A study on the simulated atomic transition algorithm for geophysical inversion

详细研究了一般地球物理反问题的迭代优化求解过程与物理学中原子跃迁过程的对应关系,建立了反演问题中模型空间、初始模型、局部极值模型、最优化模型等与原子的态空间、定态、激发态、基态等的对应关系.在此基础上,模拟了物理学中原子从激发态向基态跃迁的物理过程,建立了一种与原子跃迁过程相对应的非线性随机跃迁数学模型和模型解跃迁搜索准则,导出了适用于一般地球物理资料的模拟原子跃迁的非线性反演算法.用理论测试函数对这种新的反演方法进行了数值试验,结果表明该方法具有解不依赖于初始模型、收敛速度快等优点.

This paper analyzed the relationship between the model space, initial models, local minimization solutions, global minimization solution etc. in the geophysical inverse problem and the state space, particle state, stationary state, excited states, ground state etc. in the atomic transition based on the similarity of the procedure of iterative optimization for geophysical inverse problem and those for atomic transition. With analogizing the evolution process of atomic transition from excited states to ground state, we proposed a novel non-linear optimization algorithm for geophysical inverse problem, called as simulated atomic transition algorithm （SATA）. The synthetic tests show that the new SATA algorithm is superior to the conventional linear geophysical inverse methods without depending on the initial model, and superior to the conventional non-linear geophysical inversion methods with higher speed of convergence.