Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (5): 1142-1162.doi: 10.1016/S0252-9602(15)30046-1

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EVOLUTION FILTRATION PROBLEMS WITH SEAWATER INTRUSION: TWO-PHASE FLOW DUAL MIXED VARIATIONAL ANALYSIS

Gonzalo ALDUNCIN   

  1. Instituto de Geofísica, Universidad Nacional Autónoma de México, México, C. P. 04510, Mexico
  • Received:2013-11-11 Revised:2015-02-14 Online:2015-09-01 Published:2015-09-01
  • Supported by:

    The work reported here is part of a project partially supported by DGAPA, UNAM: PAPIIT Clave IN100214.

Abstract:

Tow-phase flow mixed variational formulations of evolution filtration problems with seawater intrusion are analyzed. A dual mixed fractional flow velocity-pressure model is considered with an air-fresh water and a fresh water-seawater characterization. For analysis and computational purposes, spatial decompositions based on nonoverlapping multidomains, above and below the sea level, are variationally introduced with internal boundary fluxes dualized as weak transmission constraints. Further, parallel augmented and exactly penalized duality algorithms, and proximation semi-implicit time marching schemes, are established and analyzed.

Key words: two-phase flow in coastal aquifers, fractional two-phase flow, dual mixed variational analysis, macro-hybrid variational formulations, augmented exactly penalized duality algorithms, proximation semi-implicit time marching schemes

CLC Number: 

  • 35A15
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