Two-dimensional individual and joint inversion of three- and four-electrode array dc resistivity data

In this paper, I suggest the use of combined inversion for three- and four-electrode array data. Two-dimensional (2D) inversion results calculated using Wenner (W), Schlumberger (S), Dipol–Dipol (DD), left- and right-side pole–dipole (PD-L and PD-R), synthetic data and their combined inversion results were compared with respect to the resolution and accuracy of the inverted models. This comparison showed that the combined inversion of data from any two sets of arrays (e.g. W + S, W + DD, PD-L + DD) gave better resolution than the individual inversion of data from each array compared with the real model. However, inversion of the PD-L, PD-R and DD data sets jointly gave a better result than the single use of any electrode array and the combined inversion of any two electrode arrays. Furthermore, model resolution matrices obtained for all individual and combined data inversions showed that the combined data set inversion can recover the block resistivities at both the beginning and the end of the profile. Field data inversions also support the synthetic data inversion result.

[1]  Alan G. Green,et al.  Experimental design: Electrical resistivity data sets that provide optimum subsurface information , 2004 .

[2]  M. E. Candansayar,et al.  Deep resistivity structure of the Dikili‐Bergama region, west Anatolia, revealed by two‐ dimensional inversion of vertical electrical sounding data , 2006 .

[3]  László Szarka,et al.  On the classification of surface geoelectric arrays , 2008 .

[4]  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 .

[5]  A. Dey,et al.  Resistivity modelling for arbitrarily shaped two-dimensional structures , 1979 .

[6]  M. Meju,et al.  Joint two-dimensional DC resistivity and seismic travel time inversion with cross-gradients constraints , 2004 .

[7]  R. Barker.  Depth of investigation of collinear symmetrical four-electrode arrays , 1989 .

[8]  Alan C. Tripp,et al.  Investigating the resolution of IP arrays using inverse theory , 1995 .

[9]  E. Haber,et al.  A GCV based method for nonlinear ill-posed problems , 2000 .

[10]  Alan C. Tripp,et al.  Two-dimensional resistivity inversion , 1984 .

[11]  R. Barker,et al.  Rapid least-squared inversion of apparent resisitivity pseudosections by a quasi-Newton method , 1996 .

[12]  T. Dahlin,et al.  A numerical comparison of 2D resistivity imaging with 10 electrode arrays , 2004 .

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

[14]  A. Apparao,et al.  Depth Of Investigation In Direct Current Methods , 1971 .

[15]  Gregory N. Tsokas,et al.  Combined weighted inversion of electrical resistivity data arising from different array types , 2007 .

[16]  Y. Sasaki.  RESOLUTION OF RESISTIVITY TOMOGRAPHY INFERRED FROM NUMERICAL SIMULATION , 1992 .