Multiple cross‐gradient joint inversion for geospectral imaging

Accurate characterization and monitoring of complex subsurface environments require the integration of all the available geophysical, geochemical and geological information. I developed a generalized cross‐gradient procedure that seeks multiple geometrically similar images that simplify the integration of cross‐property subsurface information. I jointly invert near‐surface P‐wave, S‐wave, DC resistivity and magnetic data sets recorded at a field site and compound an integrated subsurface (geospectral) image based on the multiple property images found. It is shown that, by analogy to applications in satellite imagery, the geospectral image assembles the multiple subsurface parameter values under a common structural framework that facilitates their visualization and analysis.

[1]  B. Bhattacharyya,et al.  Magnetic Anomalies due to Prism-Shaped Bodies with Arbitrary Polarization , 1964 .

[2]  J. Vidale Finite-difference calculation of travel times , 1988 .

[3]  John A. Hole,et al.  3-D finite-difference reflection travel times , 1995 .

[4]  E. Haber,et al.  Joint inversion: a structural approach , 1997 .

[5]  F. Morgan,et al.  Joint Seismic and Electrical Tomography , 1997 .

[6]  M. A. Pérez-Flores,et al.  Imaging low-frequency and dc electromagnetic fields using a simple linear approximation , 2001 .

[7]  M. Meju,et al.  Characterization of heterogeneous near‐surface materials by joint 2D inversion of dc resistivity and seismic data , 2003 .

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

[9]  C.R.E. de Oliveira,et al.  Constrained resistivity inversion using seismic data , 2005 .

[10]  Max A. Meju,et al.  A quadratic programming approach for joint image reconstruction: mathematical and geophysical examples , 2005 .

[11]  N. Linde,et al.  Local earthquake (LE) tomography with joint inversion for P‐ and S‐wave velocities using structural constraints , 2006 .

[12]  A. Binley,et al.  Improved hydrogeophysical characterization using joint inversion of cross‐hole electrical resistance and ground‐penetrating radar traveltime data , 2006 .

[13]  Max A. Meju,et al.  Joint two‐dimensional cross‐gradient imaging of magnetotelluric and seismic traveltime data for structural and lithological classification , 2007 .