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.
王桥,万汉平,王闻文等.综合物探方法在铝土矿勘查中的应用.地球物理学进展,2012,27(2):709-714.Wang Qiao,Wan Hanping,Wang Wenwen et al.The application of integrated geophysical exploration in Bauxite.Progress in Geophysics,2012,27(2):709-714.
[2]
翁爱华,祝嗣安.天然气水合物的近海底直流电测深响应.石油地球物理勘探,2010,45(3):458-461.Weng Aihua,Zhu Si'an.Near sea-bottom DC sounding response for gas hydrate.OGP,2010,45(3):458-461.
[3]
张天伦.用直流电阻率法确定油气藏边界的初步实验.石油地球物理勘探,1990,25(5):584-593.Zhang Tianlun.An experiment in locating reservoir boundary using direct-current resistivity method.OGP,1990,25(5):584-593.
[4]
王玉,郭秀军,贾永刚等.土壤-地下水系统非水相液体污染区的电性特征及电阻率法探测.地球物理学进展,2009,24(6):2316-2323.Wang Yu,Guo Xiujun,Jia Yonggang et al.Overview of the electrical characters and the electrical survey methods for the soil-groundwater system in organic contaminated areas.Progress in Geophysics,2009,24(6):2316-2323.
[5]
贾志宽,安西峰,李振峰等.非常规电测深法在工程地质勘查中的应用.地球物理学进展,2006,21(1):296-299.Jia Zhikuan,An Xifeng,Li Zhenfeng et al.Application of unconventional electric detecting method in engineering geology survey.Progress in Geophysics,2006,21(1):296-299.
[6]
Alvarez J P F,Martinez J L F,Perez C O M.Feasibility analysis of the use of binary genetic algorithms as importance samplers application to a 1-D DC resistivity inverse problem.International Association for Mathematical Geology,2008,40(4):375-408.
[7]
Basokur A T,Akca I,Siyam N W A.Hybrid genetic algorithms in view of the evolution theories with application for the electrical sounding method.Geophy-sical Prospecting,2007,55(3):393-406.
[8]
Akça I,Basokur A T.Extraction of structure-based geoelectric models by hybrid genetic algorithms.Geophysics,2010,75(1):F15-F22.
[9]
Fallat M R,Dosso S E.Geoacoustic inversion via local,global,and hybrid algorithms.Acoustical Society of America.1999,105(6):3219-3230.
[10]
Dosso S E,Wilmut M J,Lapinski A L S.An adaptive-hybrid algorithm for geo-acoustic inversion.Acous-tical Society of America,2001,26(3):324-336.
[11]
Guo R W,Dosso S E,Liu J X.Non-linearity in Baye-sian 1-D magnetotelluric inversion.Geophysical Journal International,2011,185(2):663-675.
[12]
Dong H F,Dosso S E.Bayesian inversion of interface-wave dispersion for seabed shear-wave speed profiles.IEEE Journal of Oceanic Engineering,2011,36(1):1-11.
张广智,潘新朋,孙昌路等.纵横波联合叠前自适应MCMC反演方法.石油地球物理勘探,2016,51(5):938-946.Zhang Guangzhi,Pan Xinpeng,Sun Changlu et al.PP-& PS-wave prestack nonlinear inversion based on adaptive MCMC algorithm.OGP,2016,51(5):938-946.
[17]
陈建江,印兴耀.基于贝叶斯理论的AVO三参数波形反演.地球物理学报,2007,50(4):1251-1260.Chen Jianjiang,Yin Xingyao.Three parameter AVO waveform inversion based on Bayesian theorem.Chinese Journal of Geophysics,2007,50(4):1251-1260
[18]
侯栋甲,刘洋,胡国庆等.基于贝叶斯理论的叠前多波联合反演弹性模量方法.地球物理学报,2014,57(4):1251-1264.Hou Dongjia,Liu Yang,Hu Guoqing et al.Prestack multiwave joint inversion for elastic moduli based on Bayesian theory.Chinese Journal of Geophysics,2014,57(4):1251-1264.
[19]
Dosso S E,Nielsen P L,Wilmut M J.Data error covariance in matched-field geoacoustic inversion.A-coustical Society of America,2006,119(1):208-219.
[20]
Dosso S E,Holland C W.Geoacoustic uncertainties from viscoelastic inversion of seabed reflection data.IEEE Journal of Oceanic Engineering,2006,31(3):657-671.
[21]
付代光,刘江平,周黎明等.基于贝叶斯理论的软夹层多模式瑞雷波频散曲线反演研究.岩土工程学报,2015,37(2):321-329.Fu Daiguang,Liu Jiangping,Zhou Liming et al.Inversion of multimode Rayleigh-wave dispersion curves of soft interlayer based on Bayesian theory.Chinese Journal of Geotechnical Engineering,2015,37(2):321-329. (本文编辑:刘海樱)作者简介付代光1987年生;2011年毕业于中国地质大学(武汉)应用地球物理专业,获学士学位;2013年毕业于中国地质大学
