Lanczos method for the solution of groundwater flow in discretely fractured porous media
Tài liệu tham khảo
Barenblatt, 1960, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks strata, J Appl Math Mech Engl Transl, 24, 1286, 10.1016/0021-8928(60)90107-6
Bear, 1972
Dunbar, 1989, Application of the Lanczos algorithm to the solution of the groundwater flow equation, Water Resour Res, 25, 551, 10.1029/WR025i003p00551
Dunbar WS, Woodbury AD, Nour-Omid B. Comment on on time integration of groundwater flow equations by spectral methods by G. Gambolati. Water Resour Res 1994;30(3):2347–52
Farrell AD. An assessment of the role of transient flow on the dispersion of non-reactive solutes in porous media: a numerical study. Ph.D. dissertation. The University of Manitoba; 1997
Gambolati, 1993, On time integration of groundwater flow equations by spectral methods, Water Resour Res, 29, 1257, 10.1029/92WR02331
Lanczos, 1950, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J Res Nat Bur Standards, 45, 255, 10.6028/jres.045.026
Li, 1999, Application of the unsymmetric Lanczos method to radionuclide decay chain transport in porous media, Int J Numer Meth Eng, 44, 355, 10.1002/(SICI)1097-0207(19990130)44:3<355::AID-NME507>3.0.CO;2-6
Meijerink, 1977, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math Comput, 31, 148
Nour-Omid, 1987, Lanczos method for heat conduction analysis, Int J Numer Methods Eng, 24, 251, 10.1002/nme.1620240117
Nour-Omid, 1989, Application of the Lanczos method, Comput Phys Commun, 53, 157, 10.1016/0010-4655(89)90157-4
Schwartz, 1983, A stochastic analysis of macroscopic dispersion in fractured media, Water Resour Res, 19, 1253, 10.1029/WR019i005p01253
Smith, 1984, An analysis of the influence of fracture geometry on mass transport in fractured media, Water Resour Res, 20, 1241, 10.1029/WR020i009p01241
Sudicky, 1992, The Laplace transform Galerkin technique for large-scale simulation of mass transport in discretely fractured porous formations, Water Resour Res, 28, 499, 10.1029/91WR02560
Sudicky EA, McLaren RG. FRACTRAN user's guide-an efficient simulator for two-dimensional, saturated groundwater flow and solute transport in Porous or discretely fractured porous formations. Waterloo Centre for Groundwater Research, Canada: University of Waterloo; 1998
Therrien, 1996, Three-dimensional analysis of variably saturated flow and solute transport in discretely fractured porous media, J Contam Hydrol, 23, 1, 10.1016/0169-7722(95)00088-7
VanderKwaak, 1996, Dissolution of non-aqueous-phase liquids and aqueous-phase contaminant transport in discretely fractured porous media, J Contam Hydrol, 23, 45, 10.1016/0169-7722(95)00087-9
Zhang, 2000, Application of the Lanczos algorithm to the simulation of groundwater flow in dual-porosity media, Adv Water Resour, 23, 579, 10.1016/S0309-1708(99)00043-3
Woodbury, 1990, Application of the Arnoldi algorithm to the solution of the advection dispersion equation, Water Resour Res, 26, 2579, 10.1029/WR026i010p02579
Ericsson, 1980, The spectral transformation Lanczos method for the numerical solution of large sparse generalized eigenvalue problems, Math Comput, 35, 1251