Upstream finite element method for solution of transient transport equation in fractured porous media
A finite element method for the solution of two-dimensional transient dispersive-convective transport of nonconservative solute species in fractured porous media is presented. A two-nodal point one-dimensional transport element for fractures is developed which provides a number of advantages relative to conventional fracture representation by two-dimensional continuum elements. To eliminate the oscillatory behavior of convective-dominated transport which is a more likely occurrence in fracture, a very efficient one-dimensional upstreaming method along with a two-dimensional method is implemented. Validity of the numerical scheme is established by comparison with existing one- and two-dimensional analytic solutions.
- Research Organization:
- Lawrence Berkeley Lab., CA
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 6711075
- Journal Information:
- Water Resour. Res.; (United States), Vol. 18:3
- Country of Publication:
- United States
- Language:
- English
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