Solvable Model for Dynamic Mass Transport in Disordered Geophysical Media
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Earth Science and Engineering Program
Ali I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
Petroleum Engineering Research Center, King Abdullah University of Science and Technology, Thuwal, 23955, , Saudi Arabia
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AbstractWe present an analytically solvable model for transport in geophysical materials on large length and time scales. It describes the flow of gas to a complicated absorbing boundary over long periods of time. We find a solution to this model using Green's function techniques, and apply the solution to three absorbing networks of increasing complexity.
CitationMarder M, Eftekhari B, Patzek TW (2018) Solvable Model for Dynamic Mass Transport in Disordered Geophysical Media. Physical Review Letters 120. Available: http://dx.doi.org/10.1103/physrevlett.120.138302.
SponsorsB. E. acknowledges funding from the King Abdullah University of Science and Technology. We thank David DiCarlo, Carlos Torres-Verdin, and Larry Lake for useful comments as the work was progressing. Qian Niu helpfully pointed out the possibility of localized modes in the continuum.
PublisherAmerican Physical Society (APS)
JournalPhysical Review Letters