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

  • Author(s): Vasco, Donald W
  • Doetsch, Joseph
  • Brauchler, Ralf
  • et al.
Abstract

Abstract. The application of a technique from quantum dynamics to the governing equation for hydraulic head leads to a trajectory-based solution that is valid for a general porous medium. The semi-analytic expressions for propagation path and velocity of a change in hydraulic head form the basis of a travel-time tomographic imaging algorithm. An application of the imaging algorithm to synthetic arrival times reveals that a cross-well inversion based upon the extended trajectories correctly reproduces the magnitude of a reference model, improving upon an existing asymptotic approach. An inversion of hydraulic head arrival times from cross-well slug tests at the Widen field site in northern Switzerland captures a general decrease in permeability with depth, which is in agreement with previous studies, but also indicates the presence of a high-permeability feature in the upper portion of the cross-well plane.

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