We discuss an inverse source formulation aimed at focusing wave energy produced by ground surface sources to target subsurface poroelastic formations. The intent of the focusing is to facilitate or enhance the mobility of oil entrapped within the target formation. The underlying forward wave propagation problem is cast in two spatial dimensions for a heterogeneous poroelastic target embedded within a heterogeneous elastic semi-infinite host. The semi-infiniteness of the elastic host is simulated by augmenting the (finite) computational domain with a buffer of perfectly matched layers. The inverse source algorithm is based on a systematic framework of partial-differential-equation-constrained optimization. It is demonstrated, via numerical experiments, that the algorithm is capable of converging to the spatial and temporal characteristics of surface loads that maximize energy delivery to the target formation. Consequently, the methodology is well-suited for designing field implementations that could meet a desired oil mobility threshold. Even though the methodology, and the results presented herein are in two dimensions, extensions to three dimensions are straightforward.
|Original language||English (US)|
|Number of pages||23|
|Journal||Geophysical Journal International|
|State||Published - Apr 21 2015|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The authors’ work was partially supported by an Academic Excellence Alliance grant between the King Abdullah University of Science andTechnology in Saudi Arabia (KAUST) and the University of Texas at Austin. The support is gratefully acknowledged.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.