Extraction of structure-based geoelectric models by hybrid genetic algorithms

A major difficulty in electrical resistivity imaging is the identification of the lithologic units, especially in the sedimentary environments. The geologic interpretation generally is realized by visual inspection of the final resistivity section. Although sharp boundary inversion techniques based on a local linearization could allow the delineation of interfaces between geologic units, these techniques will succeed only if an initial model already close to the best solution is available. Stochastic algorithms might localize a point around the global minimum of the misfit function; however, they are not efficient at finding the precise solution. For this reason, our previously published hybrid genetic algorithms, derived from evolution theories, are used to verify structure-based models. The geometric parameters are defined by thickness values of the lithologic units at control points distributed along the horizontal axis. A zero thickness value indicates the nonexistence of a certain unit at the corresp...

[1]  W. Menke.  Geophysical data analysis : discrete inverse theory , 1984 .

[2]  Peter Dietrich,et al.  An approach to determine equivalent solutions to the geoelectrical 2D inversion problem , 2004 .

[3]  G. Böhm,et al.  3D adaptive tomography using Delaunay triangles and Voronoi polygons , 2000 .

[4]  Irfan Akca,et al.  Hybrid genetic algorithms in view of the evolution theories with application for the electrical sounding method , 2007 .

[5]  Yutaka Sasaki,et al.  Two‐dimensional joint inversion of magnetotelluric and dipole‐dipole resistivity data , 1989 .

[6]  C. G. Broyden.  A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .

[7]  A. Christiansen,et al.  Optimizing a layered and laterally constrained 2D inversion of resistivity data using Broyden's update and 1D derivatives , 2004 .

[8]  Maurizio Fedi,et al.  Detection of potential fields source boundaries by enhanced horizontal derivative method , 2001 .

[9]  M. Emin Candansayar,et al.  Two‐dimensional inversion of magnetotelluric data with consecutive use of conjugate gradient and least‐squares solution with singular value decomposition algorithms , 2007 .

[10]  S. Constable,et al.  Occam's inversion to generate smooth, two-dimensional models from magnetotelluric data , 1990 .

[11]  Michael S. Zhdanov,et al.  Focusing geophysical inversion images , 1999 .

[12]  M. Kis.  Generalised Series Expansion (GSE) used in DC geoelectric–seismic joint inversion , 2002 .

[13]  R. Parker,et al.  Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data , 1987 .

[14]  Laurent Marescot,et al.  A general approach for DC apparent resistivity evaluation on arbitrarily shaped 3D structures , 2006 .

[15]  Ugur Yaramanci,et al.  Use of block inversion in the 2-D interpretation of apparent resistivity data and its comparison with smooth inversion , 2000 .

[16]  S. Treitel,et al.  A REVIEW OF LEAST-SQUARES INVERSION AND ITS APPLICATION TO GEOPHYSICAL PROBLEMS* , 1984 .

[17]  T. Dahlin.  2D resistivity surveying for environmental and engineering applications , 1996 .

[18]  Filippos Vallianatos,et al.  Investigation of waste disposal areas using electrical methods: a case study from Chania, Crete, Greece , 2007 .

[19]  Frank Morrison,et al.  Sharp boundary inversion of 2D magnetotelluric data , 1999 .

[20]  Bülent Tezkan,et al.  Two‐dimensional joint inversion of radiomagnetotelluric and direct current resistivity data , 2008 .

[21]  N. Papadopoulos,et al.  Two‐dimensional and three‐dimensional resistivity imaging in archaeological site investigation , 2006 .

[22]  A. T. Basokur,et al.  Detecting small‐scale targets by the 2D inversion of two‐sided three‐electrode data: application to an archaeological survey , 2001 .

[23]  Randolph E. Bank,et al.  PLTMG - a software package for solving elliptic partial differential equations: users' guide 8.0 , 1998, Software, environments, tools.

[24]  Chester J. Weiss,et al.  Adaptive finite-element modeling using unstructured grids: The 2D magnetotelluric example , 2005 .

[25]  A. Hördt,et al.  A new sensitivity-controlled focusing regularization scheme for the inversion of induced polarization data based on the minimum gradient support , 2008 .