双感应测井资料自适应正则化反演  

Adaptively regularized inversion of dual-induction log

作　　者：于涛[1] 

机构地区：[1]大庆钻探工程公司测井公司,黑龙江大庆163412

出　　处：《东北石油大学学报》2016年第3期18-23,共6页Journal of Northeast Petroleum University

摘　　要：为了准确获得地层真电阻率,确定地层侵入关系,将非线性反演理论与Morozov偏差原理结合,建立双感应测井(Dual-Induction Log)资料的自适应正则化全参数反演算法。首先根据Tikhonov正则化反演理论,将双感应测井资料反演问题变为含稳定泛函非线性目标函数极小化问题;再利用Gauss-Newton算法确定极小化解。在测井资料的最佳拟合迭代过程中,将Morozov偏差原理及Cholesky分解技术结合,建立一套自适应选择正则化因子方法;最后对大庆油田的实际测井资料进行反演处理。反演结论与试油结果表明,该算法在处理薄层、薄互层时能够取得更为满意的效果。In order to determine the true resistivity of the formation,the formation of the intrusive relationship is determined,we present an adaptively regularized algorithm to simultaneously reconstruct all the model parameters from dual-induction log DIL data based on nonlinear inversion theory and Morozov discrepancy principle.We firstly adopt Tikhonov regularization inversion theory to transform the inversion problem into the minimization problem of non-quadratic objective function with the stabilizing functional defined on model space,and use Gauss-Newton method to obtain the minimization of objective function.Then,the combination of Morozov discrepancy principle and Cholesky decomposition is executed to propose an adaptive regularization factor choice strategy in order to obtain a stable inversion solution as well as to realize best fit of input data with modeling logs.Finally,the inversion results of piratical field logs measured from Daqing oilfield are compared with the test oil conclusion,the new inversion technique can produce more desired effect in thin reservoirs and thin interactive reservoirs application.

关 键 词：自适应正则化反演 Morozov偏差原理 稳定泛函 Fréchet导数 双感应测井 

分 类 号：P613.81[天文地球—矿床学]