The Laplace transform Galerkin technique for large-scale simulation of mass transport in discretely fractured porous formations
- Univ. of Waterloo, Ontario (Canada)
The ability to simulate contaminant migration in large-scale porous formations containing a complex network of discrete fractures is limited by traditional modeling approaches. One primary reason is because of vastly different transport time scales in different regions due to rapid advection along the discrete fractures and slow but persistent diffusion in the porous matrix. In addition to time-related complexities, standard numerical methods require a fine spatial discretization in the porous matrix to represent sharp concentration gradients at the interface between the fractures and the matrix. In order to circumvent these difficulties, the Laplace transform Galerkin method is extended for application to discretely fractured media with emphasis on large-scale modeling capabilities. The technique avoids time stepping and permits the use of a relatively coarse grid without compromising accuracy because the Laplace domain solution is relatively smooth and devoid of discontinuities even in advection-dominated problems. Further computational efficiency for large-grid problems is achieved by employing a preconditioned, ORTHOMIN-accelerated iterative solver. A unique feature of the method is that each of the several needed p space solutions are independent, thus making the scheme highly parallel.
- OSTI ID:
- 5150131
- Journal Information:
- Water Resources Research; (United States), Journal Name: Water Resources Research; (United States) Vol. 28:2; ISSN 0043-1397; ISSN WRERA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
540220* -- Environment
Terrestrial-- Chemicals Monitoring & Transport-- (1990-)
ENVIRONMENTAL TRANSPORT
GEOLOGIC FRACTURES
GEOLOGIC STRUCTURES
HAZARDOUS MATERIALS
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
POROUS MATERIALS
SIMULATION
TRANSFORMATIONS