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

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.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Federal Inst. of Technology, Zurich (Switzerland)
  3. AF-Consult Switzerland Ltd, Baden (Switzerland)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1580971
Grant/Contract Number:  
[AC02-05CH11231]
Resource Type:
Accepted Manuscript
Journal Name:
Hydrology and Earth System Sciences (Online)
Additional Journal Information:
[Journal Name: Hydrology and Earth System Sciences (Online); Journal Volume: 23; Journal Issue: 11]; Journal ID: ISSN 1607-7938
Publisher:
European Geosciences Union (EGU)
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES

Citation Formats

Vasco, Donald W., Doetsch, Joseph, and Brauchler, Ralf. An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography. United States: N. p., 2019. Web. doi:10.5194/hess-23-4541-2019.
Vasco, Donald W., Doetsch, Joseph, & Brauchler, Ralf. An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography. United States. doi:10.5194/hess-23-4541-2019.
Vasco, Donald W., Doetsch, Joseph, and Brauchler, Ralf. Thu . "An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography". United States. doi:10.5194/hess-23-4541-2019. https://www.osti.gov/servlets/purl/1580971.
@article{osti_1580971,
title = {An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography},
author = {Vasco, Donald W. and Doetsch, Joseph and Brauchler, Ralf},
abstractNote = {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.},
doi = {10.5194/hess-23-4541-2019},
journal = {Hydrology and Earth System Sciences (Online)},
number = [11],
volume = [23],
place = {United States},
year = {2019},
month = {11}
}

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