Improved hydrogeophysical characterization using joint inversion of cross‐hole electrical resistance and ground‐penetrating radar traveltime data

作者: Niklas Linde , Andrew Binley , Ari Tryggvason , Laust B. Pedersen , André Revil

DOI: 10.1029/2006WR005131

关键词:

摘要: Appropriate regularizations of geophysical inverse problems and joint inversion different data types improve models increase their usefulness in hydrogeological studies. We have developed an efficient method to calculate stochastic regularization operators for given geostatistical models. The method, which combines circulant embedding the diagonalization theorem matrices, is applicable stationary when grid discretization, each spatial direction, uniform volume interest. also used a structural approach jointly invert cross-hole electrical resistance ground-penetrating radar traveltime three dimensions. two are coupled by assuming, at all points, that cross product gradients zero. No petrophysical relationship between conductivity relative permittivity assumed but instead obtained as by-product inversion. has been applied collected U.K. sandstone aquifer order characterization vadose zone hydrostratigraphy. By analyzing scatterplots versus together with zonation could be corresponding estimates formation factor, water content, effective grain radius sediments. provides greater insight into characteristics subsurface than using conventional methods.

参考文章(56)
Andrew Binley, Giorgio Cassiani, Roy Middleton, Peter Winship, Vadose zone flow model parameterisation using cross-borehole radar and resistivity imaging Journal of Hydrology. ,vol. 267, pp. 147- 159 ,(2002) , 10.1016/S0022-1694(02)00146-4
Andrej Nikolaevich Tikhonov, Vasiliy Yakovlevich Arsenin, Solutions of ill-posed problems ,(1977)
A. Tryggvason, S. T. Rognvaldsson, O. G. Flovenz, Three-dimensional imaging of the P- and S-wave velocity structure and earthquake locations beneath Southwest Iceland Geophysical Journal International. ,vol. 151, pp. 848- 866 ,(2002) , 10.1046/J.1365-246X.2002.01812.X
Larry R. Lines, Alton K. Schultz, Sven Treitel, Cooperative inversion of geophysical data Geophysics. ,vol. 53, pp. 8- 20 ,(1988) , 10.1190/1.1442403
J. A. Hole, Nonlinear high‐resolution three‐dimensional seismic travel time tomography Journal of Geophysical Research. ,vol. 97, pp. 6553- 6562 ,(1992) , 10.1029/92JB00235
Frederick D Day‐Lewis, Kamini Singha, Andrew M Binley, Applying petrophysical models to radar travel time and electrical resistivity tomograms: Resolution-dependent limitations Journal of Geophysical Research. ,vol. 110, pp. 1- 17 ,(2005) , 10.1029/2004JB003569
Gene H Golub, Charles F Van Loan, Matrix computations ,(1983)
Eric R. Ziegel, C. Deutsch, A. Journel, GSLIB: Geostatistical Software Library and User's Guide Technometrics. ,vol. 37, pp. 126- ,(1995) , 10.2307/1269177
Elena Boykova Ranguelova, Segmentation of textured images on three-dimensional lattices Trinity College (Dublin, Ireland). Department of Electronic & Electrical Engineering. ,(2003)