基于最小支撑泛函模型约束的电阻率法三维聚焦反演  

Three-D regularized focusing inversion of resistivity data based on minimum support functional

作　　者：叶益信[1,2] 张志勇[2] 吴信民[2] 李曼[2] 丁尚见 

机构地区：[1]中国海洋大学海底科学与探测技术教育部重点实验室,青岛266100 [2]东华理工大学放射性地质与勘探技术国防重点学科实验室,南昌330013

出　　处：《地球物理学进展》2015年第5期2399-2403,共5页Progress in Geophysics

基　　金：国家自然科学基金(41204055;41174107;41304054;41304055)资助

摘　　要：目前电阻率法三维反演方法大多是基于最小构造或最平缓模型约束的反演,这些反演算法能稳定收敛,但有时反演结果分辨率较差,不利于地质解释.本文在分析Zhdanov(2002)提出的基于最小支撑泛函聚焦反演方法的基础上,将最小支撑泛函引入到电阻率法三维反演的目标函数中,然后采用高斯牛顿法求解反演目标函数最优化问题,同时结合预条件共轭梯度法得到电阻率法三维聚焦反演结果.通过对几个典型模型的试算,并与传统光滑模型约束反演结果进行比较,表明本文反演方法结果与实际模型吻合的更好,分辨率更高,模型更聚焦,而且算法收敛速度较快.Usually a maximum smoothness stabilizing functional constraint is used to stabilize the 3Dresistivity data inversions process.These kinds of algorithms can converge stably,but the obtained solution is a smooth image by the traditional stabilizer,which in many practical situations does not describe the examined object properly.In this paper,we analyze the focusing inversion based on minimum support functional provided by Zhdanov（2002）,and the minimum support functional is incorporated into the objective function of3 Dresistivity inversion.We use Gauss-Newton method to find the optimization of the objective function, and the preconditioned conjugate gradient method is combined to get the model update.The inversion results obtained by the algorithm are compared with the results obtained by the traditional inversion method based on the smoothness stabilizing functional constraint.The comparisons show that the program is more convergent and this approach helps to generate much more focused and resolved images of blocky geoelectrical structures than the traditional inversion approach.

关 键 词：电阻率法 聚焦反演 最小支撑泛函 高斯牛顿法 

分 类 号：P631[天文地球—地质矿产勘探]