用趋势面分析方法提高模拟退火法反演的效率

詹麒; 朱培民

用趋势面分析方法提高模拟退火法反演的效率

詹麒,
朱培民

中国地质大学地球物理系, 湖北武汉 430074

基金项目: 西北石油地质局局控项目“利用地震波散射特征识别塔河油田奥陶系碳酸盐岩不均匀储集体”

详细信息

作者简介:
詹麒(1962-), 男, 中国地质大学博士生, 西北石油地质局高级工程师, 主要从事地震勘探, 油气田开发和管理等方面的工作

中图分类号: P318;P319
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出版历程
- 收稿日期: 2001-03-30
- 刊出日期: 2001-09-25

AN APPROACH TO IMPROVING EFFICIENCY OF SIMULATED ANNEALING USING TREND SURFACE ANALYSIS

Department of Geophysics, China University of Geosciences, Wuhan 430074, China

摘要

摘要: 利用模拟退火反演过程中废弃的随机搜索的模型解信息, 建立起目标函数的二阶趋势面, 根据趋势面的分析结果预测和指导模拟退火的搜索方向, 使模拟退火法快速地收敛到全局最优解.数值试验证明, 这种方法比传统模拟退火法的计算效率高出十倍以上.
- 反演 /
- 模拟退火 /
- 趋势面分析
Abstract: An approach to solving global optimization and inversion problems is developed. It builds 2-order trend surface analysis of abandoned search information in heuristic nonlinear inversion - simulated annealing. The fundamental of this approach is that SA changes process of random search according to prediction of trend surface analysis with some solutions of search in model space so that it ensures inversion to converge to the global optimum fast and exactly. The numerical test of a typical economics inversion problem has proved that this approach can improve the efficiency of simulated annealing remarkably.
- inversion /
- simulated annealing /
- trend surface analysis

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图 1 目标函数曲面

a.经典的经济学反问题; b.用SA法50次搜索结果; c.用SA法500次搜索结果

Fig. 1. Objective function surfaces

下载: 全尺寸图片幻灯片

表 1 趋势面分析结果及组合反演结果

Table 1. Results of trend surface analysis and hybrid inversion

参考文献(9)

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