Articles | Volume 23, issue 11
Research article
07 Nov 2019
Research article |  | 07 Nov 2019

An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography

Donald W. Vasco, Joseph Doetsch, and Ralf Brauchler

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Cited articles

Aster, R. C., Borchers, B., and Thurber, C. H.: Parameter Estimation and Inverse Probl., Elsevier, Amsterdam, 2005. 
Bernabe, Y., Mok, U., and Evans, B.: A note on the oscillating flow method for measuring rock permeability, Int. J. Rock Mech. Min., 43, 311–316, 2005. 
Binley, A., Hubbard, S. S., Huisman, J. A., Revil, A., Robinson, D. A., Singha, K., and Slater, L. D.: The emergence of hydrogeophysics for improved understanding of subsurface processes over multiple scales, Water Resour. Res., 51, 3837–3866,, 2015. 
Black, J. H. and Kipp, K. L.: Determination of hydrogeological parameters using sinusoidal pressure tests: A theoretical appraisal, Water Resour. Res., 17, 686–692, 1981. 
Bohling, G. C.: Sensitivity and resolution of tomographic pumping tests in an alluvial aquifer, Water Resour. Res., 45, W02420,, 2009. 
Short summary
This paper presents the application of a new approach for calculating the path of a pressure transient in a heterogeneous porous medium containing a slightly compressible fluid. Unlike previous asymptotic approaches, the expressions for the path and travel time are valid in the presence of rapid variations in material properties. The technique is applied to both synthetic transient pressure variations from a test example and actual field data from a field experiment in Widen, Switzerland.