Source parameter inversion for wave energy focusing to a target inclusion embedded in a three-dimensional heterogeneous halfspace

Type
Article

Authors
Karve, Pranav M.
Fathi, Arash
Poursartip, Babak
Kallivokas, Loukas F.

Online Publication Date
2016-12-28

Print Publication Date
2017-05

Date
2016-12-28

Abstract
We discuss a methodology for computing the optimal spatio-temporal characteristics of surface wave sources necessary for delivering wave energy to a targeted subsurface formation. The wave stimulation is applied to the target formation to enhance the mobility of particles trapped in its pore space. We formulate the associated wave propagation problem for three-dimensional, heterogeneous, semi-infinite, elastic media. We use hybrid perfectly matched layers at the truncation boundaries of the computational domain to mimic the semi-infiniteness of the physical domain of interest. To recover the source parameters, we define an inverse source problem using the mathematical framework of constrained optimization and resolve it by employing a reduced-space approach. We report the results of our numerical experiments attesting to the methodology's ability to specify the spatio-temporal description of sources that maximize wave energy delivery. Copyright © 2016 John Wiley & Sons, Ltd.

Citation
Karve PM, Fathi A, Poursartip B, Kallivokas LF (2016) Source parameter inversion for wave energy focusing to a target inclusion embedded in a three-dimensional heterogeneous halfspace. International Journal for Numerical and Analytical Methods in Geomechanics 41: 1016–1037. Available: http://dx.doi.org/10.1002/nag.2662.

Acknowledgements
The authors' research was partially supported by an Academic Excellence Alliance grant between the King Abdullah University of Science and Technology in Saudi Arabia (KAUST) and the University of Texas at Austin. This support is gratefully acknowledged.

Publisher
Wiley

Journal
International Journal for Numerical and Analytical Methods in Geomechanics

DOI
10.1002/nag.2662

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