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《Chinese Journal of Geophysics》 2015-08
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3D resistivity inversion incorporating topography based on unstructured meshes

WU Xiao-Ping;LIU Yang;WANG Wei;Laboratory of Seismology and Physics of Earth's Interior,School of Earth and Space Sciences, University of Science and Technology of China;National Geophysical Observatory at Mengcheng;Research Institute,CNOOC Ltd-Shenzhen;  
Surface topographies have a great influence for the direct current(DC)resistivity methods,which cannot be avoided in actual mineral explorations.3D DC resistivity forward modeling is available in recent years,especially for arbitrary topography and complicated subsurface structures using unstructured grids.However,surface topography is still a challenge for 3D interpretation in realistic applications,which may cause significant error in the 3D resistivity inversion without topography.Additionally it is a hard work to lay measurement points on regular observation network in complex terrains and the corresponding data cannot be simulated on ordinary structured grid. Therefore,3D resistivity inversion incorporating topography based on unstructured meshes is necessary.We use unstructured finite element method for 3Dresistivity forward modeling in order to simulate arbitrary topography and complicated subsurface structures.Our modeling result for a sphere model shows high accuracy in comparison with analytical solution.On the basis,we implement an inexact Gauss-Newton inversion for dipole-dipole configuration on arbitrary surface topography. With the development of GPS/GNSS technique,it is not necessary to lay measurement points on regular observation network exactly in the field survey.The inversion method developed in this paper can inverse the resistivity data from arbitrary dipole-dipole measurements,which is more convenient for 3Dinterpretation in realistic applications.A random acquisition system for arbitrary dipole-dipole measurements is designed,including16 dipoles as transmitted electrodes and 100 random diploes as receiver electrodes,i.e.1600 random dipole-dipole apparent resistivities.Firstly,flat terrain models are used to verify our 3D resistivity inversion for the random dipole-dipole apparent resistivities data,obtaining the inverted model in good agreement with subsurface geoelectrical structures.Then a high resistivity model under a mountain ridge is simulated to show the significant influence from surface topography.The 3Dresistivity inversion obtains a low resistivity structure if the topography is ignored,showing a wrong subsurface structure.Our 3D resistivity inversion incorporating topography based on unstructured meshes,in which the topography is directly incorporated into the inversion algorithm,obtains the true high resistivity structure under a mountain ridge.The3 Dinversions for models with complicated topography also turn out to be very successful.All dipole-dipole apparent resistivities data for synthetic examples above are generated with 5%Gaussian errors.The 3Dresistivity inversion for synthetic data with 10% Gaussian errors is presented finally.Good result shows the 3Dresistivity inversion algorithm in this study is very robust.It becomes simple and practicable for the location of measurement points in field geophysical survey using modern GPS/GNSS technique,providing favorable conditions for flexible and efficient 3D resistivity field measurements.In combination to 3D resistivity modeling using unstructured finite element method,we implement an inexact Gauss-Newton 3D resistivity inversion for the random dipole-dipole measurements on arbitrary surface topographies.Synthetic examples show our 3Dinversion routines obtain good results for theoretical model and simulated realistic model with complicated topography.The 3Dresistivity inversion for synthetic data with10% Gaussian errors converges stably and the result is also reliable.The 3Dresistivity inversion incorporating topography based on unstructured meshes in this paper promotes a key step towards the 3Dfield interpretation in realistic applications.
【Fund】: 国家自然科学基金(41374076 41130420);; 国家高技术研究发展计划(863计划)(2014AA06A610;2012AA09A201);; 天然气水合物资源勘查与试采工程国家专项(GZH201400305);; 国家重大科学仪器设备开发专项项目任务(2011YQ05006008)联合资助
【CateGory Index】: P631.322
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