Computational Geosciences

, Volume 19, Issue 1, pp 233–256 | Cite as

On an inverse source problem for enhanced oil recovery by wave motion maximization in reservoirs

  • Pranav M. Karve
  • Sezgin Kucukcoban
  • Loukas F. KallivokasEmail author


We discuss an optimization methodology for focusing wave energy to subterranean formations using strong motion actuators placed on the ground surface. The motivation stems from the desire to increase the mobility of otherwise entrapped oil. The goal is to arrive at the spatial and temporal description of surface sources that are capable of maximizing mobility in the target reservoir. The focusing problem is posed as an inverse source problem. The underlying wave propagation problems are abstracted in two spatial dimensions, and the semi-infinite extent of the physical domain is negotiated by a buffer of perfectly-matched-layers (PMLs) placed at the domain’s truncation boundary. We discuss two possible numerical implementations: Their utility for deciding the tempo-spatial characteristics of optimal wave sources is shown via numerical experiments. Overall, the simulations demonstrate the inverse source method’s ability to simultaneously optimize load locations and time signals leading to the maximization of energy delivery to a target formation.


Inverse source problem Enhanced oil recovery PDE-constrained optimization Elastic wave energy focusing 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Pranav M. Karve
    • 1
  • Sezgin Kucukcoban
    • 2
  • Loukas F. Kallivokas
    • 1
    Email author
  1. 1.Department of Civil, Architectural and Environmental EngineeringThe University of Texas at AustinAustinUSA
  2. 2.Stress Engineering Services Inc.HoustonUSA

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