地球物理资料非线性反演方法讲座(十一)模拟原子跃迁反演法  

Lecture on Non-linear Inverse Methods in Geophgsics(11) Simulated Atomic Transition(SAT) Method

作　　者：师学明[1] 王家映[1] 

机构地区：[1]中国地质大学地球物理与空间信息学院,武汉430074

出　　处：《工程地球物理学报》2010年第2期127-137,共11页Chinese Journal of Engineering Geophysics

基　　金：国家自然科学基金(编号:40204007);中国石油天然气集团公司中青年创新基金(编号:2002f70112)资助

摘　　要：模拟原子跃迁反演法源于原子物理学,它模拟了物理学中原子从激发态向基态跃迁的物理过程。模拟原子跃迁反演算法的基本思想是:将地球物理反演理论中的反演目标函数生成目标能级函数,然后通过能级跃迁过程使模拟的系统最终达到系统能级最小值的过程。模拟原子跃迁反演法是利用了地球物理反演问题求解过程与原子中能级跃迁过程的相似性建立的一种新的地球物理反演方法。本讲座概要地介绍了模拟原子跃迁法的基本原理、目标能级化过程、能级跃迁、模型搜索及解的接受准则及模拟原子跃迁法的实现过程,并给出了模拟原子跃迁法对典型测试函数和大地电磁资料反演,最后总结和归纳了模拟原子跃迁法的特点。Simulated atomic transition （SAT） algorithm, originated from the theory Of atomic physic, which simulates the procedure of atomic transition from stationary states to ground state. The basic idea of SAT algorithm is the objective function of inverse problem that can be transferred to objective energy level function using linear method, and then the objective energy level can be transitioned using the principle of atomic transition theory. 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 are dentally discussed in this paper. With analogizing the evolution process of atomic transition from excited state to ground state, we proposed a novel non--linear optimization algorithm for geophysical inverse problem, called as simulated atomic transition （SAT） algorithm. The synthetic tests show that SAT method can be effectively applied to the geophysical inverse problem.

关 键 词：模拟原子跃迁反演法 地球物理非线性反演 目标函数 目标能级函数 

分 类 号：P631.4[天文地球—地质矿产勘探]