Electrical sounding data equivalence inversion based on ASSA and correlation analysis of errors
Fu Daiguang1, Liao Jinfang2, Zhou Liming1, Xiao Guoqiang1, Wang Fagang1, Luo Rong1
1. Key Laboratory of Geotechnical Mechanics and Engineering, the Yangtze River Scientific Research Institute, the Ministry of Water Resources, Wuhan, Hubei 430010, China; 2. Hubei Shale Gas Development Co. Ltd, Wuhan, Hubei 430071, China
Abstract:Aiming at the ill-posed electrical sounding data equivalence inversion,an adaptive simplex simulated annealing (ASSA) approach is applied to invert electrical sounding data with equivalence.Compared with Lamarckian-marked-constraint (LMC),the inversion result proves that ASSA can better perform electrical sounding equivalence inversion and the inversion precision is higher.Presently,many geophysical inversions are performed based on the assumption that data errors are Gaussian-distributed and spatially uncorrelated (off-diagonal elements are zero for covariance matrix).For Bayesian inversion,the latter assumption is not valid,and it may lead to the less-estimation of uncertainty to inversion data and a wrong decision about the reliability of inversion result.In order to reasonably evaluate the uncertainty of inversion result,nonparametric Runs-test method is used to estimate the full covariance matrix from data residuals of equivalence model,and determine if data errors are spatially correlated.The covariance matrix obtained is applied to Bayesian inversion,thus the uncertainty,correlation of inversion data is more correctly and reasonably evaluated.
付代光, 廖锦芳, 周黎明, 肖国强, 王法刚, 罗荣. 基于ASSA方法的等值性电测深数据反演及数据误差相关性分析[J]. 石油地球物理勘探, 2017, 52(5): 1077-1084.
Fu Daiguang, Liao Jinfang, Zhou Liming, Xiao Guoqiang, Wang Fagang, Luo Rong. Electrical sounding data equivalence inversion based on ASSA and correlation analysis of errors. OGP, 2017, 52(5): 1077-1084.
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