I have compiled a list of references pertaining to travel time and electrical resistivity tomography and the inverse problem. Some of these references are for developing the forward model, for example, Vidale, 1990. Others look at different methods to solve the tomography problem. Several references are about developing resolution matrices from solvers that do not compute the matrix inverse. I hope that these references will provide a fairly comprehensive list for people who wish to learn about tomography and inverse theory using a geophysical approach. At the very least, this list provides a starting point.

I do not distribute tomography software. The codes that I use are commercial or I have permission to use specific tomography codes by arrangement with the authors. I suggest that you contact the authors of the listed papers to determine the availability of their codes. Daryl Tweeton of GeoTom, LLC, has several tomography packages available, such as GeoTomCG. You can contact him through e-mail or via telephone at (612) 423-3838.

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Berryman, J. G., Fermat's principle and nonlinear traveltime tomography, Physical Review Letters, 62, 2953-2956, 1989.

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Daily, W. and E. Owen, Cross-borehole resistivity tomography, Geophysics, 56, 1228-1235, 1991.

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Daily, W. D., A. L. Ramirez, D. J. LaBrecque, and J. Nitao, Electrical resistivity tomography of vadose water movement, Water Resource Research, 28, 1429-1442, 1992.

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Ellefsen, K. J., P. A. Hsieh, and A. M. Shapiro, Crosswell seismic investigation of hydraulically conductive, fractured bedrock near Mirror Lake, New Hampshire, Journal of Applied Geophysics, 50, 299-317, 2002.

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Eppstein, M. J. and D. E. Dougherty, Optimal 3-d traveltime tomography, Geophysics, 63, 1053-1061, 1998.

Friedel, M. J., D. R. Tweeton, J. J. Jackson, J. A. Jessop, and C. L. Cumerlato, Mining applications of seismic tomography, Proceedings of Society of Exploration Geophysicists, New Orleans, LA, 1992.

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Gouveia, W. and J. A. Scales, Bayesian seismic waveform inversion: Parameter estimation and uncertainty analysis, Journal of Geophysical Research, 103, 2759-2779, 1998.

Hansen, P. C., Regularization tools, Numerical Algorithms, 6, 1-35, 1994.

Hole, J. A., Nonlinear high-resolution three-dimensional seismic travel time tomography, Journal of Geophysical Research, 97, 6553-6562, 1992.

Hole, J. A., R. M. Clowes, and R, M. Ellis, Interface inversion using broadside seismic refraction data and three-dimensional travel time calculations, Journal of Geophysical Research, 97, 3417-3429, 1992.

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Honjo, Y. and N. Kashiwagi, On the optimum design of a smoothing filter for geophysical tomography, Soils and Foundations, 31, 131-144, 1991.

Hubbard, S. S., Y. Rubin, and E. Majer, Spatial correlation structure estimation using geophysical and hydrogeological data, Water Resources Research, 35, 1809-1825, 1999.

Hubbard, S. S., J. Peterson, E. Majer, P. T. Zawislanski, K.H. Williams, J. Roberts, and F. Wobber, Estimation of permeable pathways and water content using tomographic radar data, The Leading Edge, 16, 1623-1628, 1997.

Hubbard, S. S., J. Chen, J. Peterson, E. Majer, K.H. Williams, D. J. Swift, B. Mailloux, and Y. Rubin, hydrogeological characterization of the South Oyster Bacterial Transport Site using geophysical data, Water Resource Research, 37, 2431-2456, 2001.

Hyndman, D. W. and S. M. Gorelick, Estimating lithologic and transport properties in three dimensions using seismic and tracer data, Water Resources Research, 32, 2659-2670, 1996.

Hyndman, D. W., and J. M. Harris, Traveltime inversion for the geometry of aquifer lithologies, Geophysics, 61, 1728-1737, 1996.

Hyndman, D. W., J. M. Harris, and S. M. Gorelick, Inferring the relation between seismic slowness and hydraulic conductivity in heterogeneous aquifers, Water Resources Research, 36, 2121-2132, 2000.

Hyndman, D. W., J. M. Harris, and S. M. Gorelick, Coupled seismic and tracer test inversion for aquifer property characterization, Water Resources Research, 30, 1965-1977, 1994.

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Michelena, R. J., and J. M. Harris, Tomographic traveltime inversion using natural pixels, Geophysics, 56, 635-644, 1991.

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