Eigenvalue Uncoupling of Electrokinetic Flows

Conference · Sun Dec 01 00:00:00 EST 2019

DOI:https://doi.org/10.1002/essoar.10501809.1· OSTI ID:1643504

Kuhlman, Kristopher L ^[1]; Malama, Bwalya ^[2]

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1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
2. California Polytechnic State Univ. (CalPoly), San Luis Obispo, CA (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)

We present an approach to uncoupling the pair of transient governing equations used in electrokinetics (i.e., streaming potential and electroosmosis). This approach allows for the solution of two uncoupled "intermediate" equations, then the physical solution is found by recombination of these intermediate potentials through a matrix multiplication. We present numerically stable expressions for the coefficients, and an example showing electrokinetics arising from pumping a fully penetrating well in a confined aquifer, surrounded by insulating aquicludes. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology & Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525. (SAND2019-8712 A)

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 1643504
• Report Number(s): SAND2019-14730C; 682424
• Resource Relation: Conference: AGU 2019 Fall Meeting, San Francisco, CA (United States), 9-13 Dec 2019
• Country of Publication: United States
• Language: English