-
3
-
-
0001397434
-
Spatial macroscopization of processes in heterogeneous systems
-
Bachmat, Y.: 1972, Spatial macroscopization of processes in heterogeneous systems, Israel J. Technol. 10, 391.
-
(1972)
Israel J. Technol.
, vol.10
, pp. 391
-
-
Bachmat, Y.1
-
4
-
-
0022823733
-
Macroscopic modeling of transport phenomena in porous media. 1: The continuum approach
-
Bachmat, Y. and Bear, J.: 1986, Macroscopic modeling of transport phenomena in porous media. 1: The continuum approach, Transport in Porous Media 1, 213.
-
(1986)
Transport in Porous Media
, vol.1
, pp. 213
-
-
Bachmat, Y.1
Bear, J.2
-
6
-
-
0021639953
-
The operational significance of the continuum hypothesis in the theory of water movement through soils and aquifers
-
Baveye, P. and Sposito, G.: 1984, The operational significance of the continuum hypothesis in the theory of water movement through soils and aquifers, Water Resour. Res. 20, 521.
-
(1984)
Water Resour. Res.
, vol.20
, pp. 521
-
-
Baveye, P.1
Sposito, G.2
-
7
-
-
0000627183
-
On the tensor form of dispersion in porous media
-
Bear, J.: 1961, On the tensor form of dispersion in porous media, J. Geophys. Res. 66(4), 1185.
-
(1961)
J. Geophys. Res.
, vol.66
, Issue.4
, pp. 1185
-
-
Bear, J.1
-
9
-
-
0002737591
-
A generalized theory on hydrodynamic dispersion in porous media
-
Haifa, Israel, P. N.
-
Bear, J. and Bachmat, Y.: 1967, A generalized theory on hydrodynamic dispersion in porous media, A. H. S. Symp. Artificial Recharge and Management of Aquifers, Haifa, Israel, P. N. 72, 7.
-
(1967)
A. H. S. Symp. Artificial Recharge and Management of Aquifers
, vol.72
, pp. 7
-
-
Bear, J.1
Bachmat, Y.2
-
10
-
-
0021696287
-
Transport phenomena in porous media -Basic equations
-
Martinus Nijhoff, Dordrecht
-
Bear, J. and Bachmat, Y.: 1984, Transport phenomena in porous media -Basic equations, Proc. 1982 NATO - Advanced Study Institute on the Fundamentals of Transport Phenomena in Porous Media, Martinus Nijhoff, Dordrecht, p. 3.
-
(1984)
Proc. 1982 NATO - Advanced Study Institute on the Fundamentals of Transport Phenomena in Porous Media
, pp. 3
-
-
Bear, J.1
Bachmat, Y.2
-
11
-
-
0022835945
-
Macroscopic modeling of transport phenomena in porous media. 2: Applications to mass, momentum and energy transport
-
Bear, J. and Bachmat, Y.: 1986, Macroscopic modeling of transport phenomena in porous media. 2: Applications to mass, momentum and energy transport, Transport in Porous Media 1, 241.
-
(1986)
Transport in Porous Media
, vol.1
, pp. 241
-
-
Bear, J.1
Bachmat, Y.2
-
13
-
-
13844320326
-
The lattice Boltzmann equation: Theory and applications
-
Benzi, R., Succi, S. and Vergassola, M.: 1992, The lattice Boltzmann equation: theory and applications, Phys. Rep. 222, 145.
-
(1992)
Phys. Rep.
, vol.222
, pp. 145
-
-
Benzi, R.1
Succi, S.2
Vergassola, M.3
-
14
-
-
0003944113
-
-
John Wiley, New York
-
Bird, R., Stewart, W. and Lightfoot, B.: 1960, Transport Phenomena, John Wiley, New York.
-
(1960)
Transport Phenomena
-
-
Bird, R.1
Stewart, W.2
Lightfoot, B.3
-
15
-
-
0003308613
-
General equations and two-phase flow modeling
-
G. Hetsroni (ed), Hemisphere Publishing Corp.
-
Bouré, J. A. and Delhaye, J. M.: 1982, General equations and two-phase flow modeling, in G. Hetsroni (ed), Handbook of Multiphase Systems, Hemisphere Publishing Corp.
-
(1982)
Handbook of Multiphase Systems
-
-
Bouré, J.A.1
Delhaye, J.M.2
-
16
-
-
0021661101
-
Heat and mass transfer in porous media
-
Martinus Nijhoff, Dordrecht
-
Carbonell, R. G. and Whitaker, S.: 1984, Heat and mass transfer in porous media, Proc. 1982 NATO - Advanced Study Institute on the Fundamentals of Transport Phenomena in Porous Media, Martinus Nijhoff, Dordrecht, p. 121.
-
(1984)
Proc. 1982 NATO - Advanced Study Institute on the Fundamentals of Transport Phenomena in Porous Media
, pp. 121
-
-
Carbonell, R.G.1
Whitaker, S.2
-
18
-
-
11944274749
-
Proofs of the volume averaging theorems for multiphase flow
-
Cushman, J. H.: 1982, Proofs of the volume averaging theorems for multiphase flow, Adv. Water Resour. 5, 248.
-
(1982)
Adv. Water Resour.
, vol.5
, pp. 248
-
-
Cushman, J.H.1
-
19
-
-
0020689543
-
Multiphase transport equations: I - General equation for Macroscopic statistical, local, space-time homogeneity
-
Cushman, J. H.: 1983a, Multiphase transport equations: I - General equation for Macroscopic statistical, local, space-time homogeneity, Transport Theory Statis. Phys. 12, 35.
-
(1983)
Transport Theory Statis. Phys.
, vol.12
, pp. 35
-
-
Cushman, J.H.1
-
20
-
-
1542630309
-
Volume averaging, probabilistic averaging, and ergodicity
-
Cushman, J. H.: 1983b, Volume averaging, probabilistic averaging, and ergodicity,Adv. Water Resour. 6, 182.
-
(1983)
Adv. Water Resour.
, vol.6
, pp. 182
-
-
Cushman, J.H.1
-
21
-
-
0021489414
-
Fourier interpretation of multiphase averaging theory
-
Cushman, J. H.: 1984a, Fourier interpretation of multiphase averaging theory, Adv. Water Resour. 7, 126.
-
(1984)
Adv. Water Resour.
, vol.7
, pp. 126
-
-
Cushman, J.H.1
-
22
-
-
0021641594
-
On unifying the concepts of scale, instrumentation, and stochastics in development of multiphase transport theory
-
Cushman, J. H.: 1984b, On unifying the concepts of scale, instrumentation, and stochastics in development of multiphase transport theory, Water Resour. Res. 11, 1668.
-
(1984)
Water Resour. Res.
, vol.11
, pp. 1668
-
-
Cushman, J.H.1
-
23
-
-
0001996419
-
On the averaging operators introduced in two-phase flow modeling
-
Toronto, August
-
Delhaye, J. M. and Achard, J. L.: 1976, On the averaging operators introduced in two-phase flow modeling, Proceedings of CSNI Specialists Meeting, Toronto, August, 1 5.
-
(1976)
Proceedings of CSNI Specialists Meeting
, vol.1
, pp. 5
-
-
Delhaye, J.M.1
Achard, J.L.2
-
25
-
-
0015077923
-
Averaged field equations for two-phase media
-
Drew, D. A.: 1971, Averaged field equations for two-phase media, Studies Appl. Math. 50, 133.
-
(1971)
Studies Appl. Math.
, vol.50
, pp. 133
-
-
Drew, D.A.1
-
27
-
-
0016470063
-
A derivation of the equations for multi-phase transport
-
Gray, W. G.: 1975, A derivation of the equations for multi-phase transport, Chem. Eng. Sci. 30, 229.
-
(1975)
Chem. Eng. Sci.
, vol.30
, pp. 229
-
-
Gray, W.G.1
-
28
-
-
0020892865
-
Local volume averaging of multiphase using a non-constant averaging volume
-
Gray, W. G.: 1983, Local volume averaging of multiphase using a non-constant averaging volume, Internat. J. Multiphase Flow 9, 755.
-
(1983)
Internat. J. Multiphase Flow
, vol.9
, pp. 755
-
-
Gray, W.G.1
-
29
-
-
0017505662
-
On the theorems for local volume averaging of multiphase systems
-
Gray, W. G. and Lee, P. C. Y.: 1977, On the theorems for local volume averaging of multiphase systems, Internat. J. Multiphase Flow 3, 333.
-
(1977)
Internat. J. Multiphase Flow
, vol.3
, pp. 333
-
-
Gray, W.G.1
Lee, P.C.Y.2
-
30
-
-
0003567989
-
-
CRC Press, London
-
Gray, W. G., Leijnse, A., Kolar, R. L. and Blain, C. A.: 1993, Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems, CRC Press, London.
-
(1993)
Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems
-
-
Gray, W.G.1
Leijnse, A.2
Kolar, R.L.3
Blain, C.A.4
-
31
-
-
37249006592
-
General conservation equations for multi-phase systems: 1. Averaging procedure
-
Hassanizadeh, M. and Gray, W. G.: 1979a, General conservation equations for multi-phase systems: 1. Averaging procedure, Adv. Water Resour. 2, 131.
-
(1979)
Adv. Water Resour.
, vol.2
, pp. 131
-
-
Hassanizadeh, M.1
Gray, W.G.2
-
32
-
-
0013726079
-
General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations
-
Hassanizadeh, M. and Gray, W. G.: 1979b, General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations, Adv. Water Resour. 2, 191.
-
(1979)
Adv. Water Resour.
, vol.2
, pp. 191
-
-
Hassanizadeh, M.1
Gray, W.G.2
-
33
-
-
0004207439
-
-
Springer-Verlag, New York
-
Halmos, P. R.: 1974, Measure Theory, Springer-Verlag, New York.
-
(1974)
Measure Theory
-
-
Halmos, P.R.1
-
35
-
-
0021938510
-
The spatial averaging theorem revisited
-
Howes, F. A. and Whitaker, S.: 1985, The spatial averaging theorem revisited, Chem. Eng. Sci. 40, 1387.
-
(1985)
Chem. Eng. Sci.
, vol.40
, pp. 1387
-
-
Howes, F.A.1
Whitaker, S.2
-
36
-
-
0001594016
-
Darcy's law and the field equations of the flow of underground fluid
-
Hubbert, M. K.: 1956, Darcy's law and the field equations of the flow of underground fluid, AIME Petrol 207, 222.
-
(1956)
AIME Petrol
, vol.207
, pp. 222
-
-
Hubbert, M.K.1
-
39
-
-
0018955148
-
A note on volume-averaging
-
Narasimhan, T. N.: 1980, A note on volume-averaging, Adv. Water Resour. 3, 135.
-
(1980)
Adv. Water Resour.
, vol.3
, pp. 135
-
-
Narasimhan, T.N.1
-
40
-
-
0003526713
-
-
NEDRA, Moscow
-
Nikolaevskii, V. N., Basniev, K. S., Gorbunov, A. T. and Zotov, G. A.: 1970, Mechanics of Saturated Porous Media (in Russian), NEDRA, Moscow.
-
(1970)
Mechanics of Saturated Porous Media (in Russian)
-
-
Nikolaevskii, V.N.1
Basniev, K.S.2
Gorbunov, A.T.3
Zotov, G.A.4
-
41
-
-
0000936583
-
Eulerian kinematics of flow through spatially periodic models of porous media
-
Nitsche, L. C. and Brenner, H.: 1989, Eulerian kinematics of flow through spatially periodic models of porous media, Arch. Rational Mech. Anal. 107, 225.
-
(1989)
Arch. Rational Mech. Anal.
, vol.107
, pp. 225
-
-
Nitsche, L.C.1
Brenner, H.2
-
42
-
-
84945071836
-
Dispersion in heterogeneous porous media. 1. Local volume averaging and large-scale averaging
-
Plumb, O. A. and Whitaker, S.: 1988a, Dispersion in heterogeneous porous media. 1. Local volume averaging and large-scale averaging, Water Resour. Res. 24, 913.
-
(1988)
Water Resour. Res.
, vol.24
, pp. 913
-
-
Plumb, O.A.1
Whitaker, S.2
-
43
-
-
84945091439
-
Dispersion in heterogeneous porous media. 2. Predictions for stratified and two-dimensional spatially periodic systems
-
Plumb, O. A. and Whitaker, S.: 1988b, Dispersion in heterogeneous porous media. 2. Predictions for stratified and two-dimensional spatially periodic systems, Water Resour. Res. 24, 927.
-
(1988)
Water Resour. Res.
, vol.24
, pp. 927
-
-
Plumb, O.A.1
Whitaker, S.2
-
44
-
-
0028372271
-
Transport in ordered and disordered porous media, I: The cellular average and the use of weighting functions
-
Quintard, M. and Whitaker, S.: 1994a, Transport in ordered and disordered porous media, I: The cellular average and the use of weighting functions, Transport in Porous Media 14, 163.
-
(1994)
Transport in Porous Media
, vol.14
, pp. 163
-
-
Quintard, M.1
Whitaker, S.2
-
45
-
-
0028372270
-
Transport in ordered and disordered porous media, II: Generalized volume averaging
-
Quintard, M. and Whitaker, S.: 1994a, Transport in ordered and disordered porous media, II: Generalized volume averaging, Transport in Porous Media 14, 179.
-
(1994)
Transport in Porous Media
, vol.14
, pp. 179
-
-
Quintard, M.1
Whitaker, S.2
-
46
-
-
12044257626
-
Lattice-gas models of phase separation: Interfaces, phase transitions, and multiphase flow
-
Rothman, D. H. and Zaleski, S.: 1994, Lattice-gas models of phase separation: interfaces, phase transitions, and multiphase flow, Rev. Modern Phys. 66, 1417.
-
(1994)
Rev. Modern Phys.
, vol.66
, pp. 1417
-
-
Rothman, D.H.1
Zaleski, S.2
-
47
-
-
25444528412
-
The G-asymptotic form of operators and averaging in the mechanics of multiphase media
-
Salamatin, A. N.: 1985, The G-asymptotic form of operators and averaging in the mechanics of multiphase media, Soviet Math. 29, 85.
-
(1985)
Soviet Math.
, vol.29
, pp. 85
-
-
Salamatin, A.N.1
-
49
-
-
0004025096
-
-
Ph D Thesis, Department of Civil Engineering, University of Waterloo, Waterloo
-
Scheier, N. W.: 1983, Stochastic, temporal influences on contaminant transport in shallow, phreatic aquifers, Ph D Thesis, Department of Civil Engineering, University of Waterloo, Waterloo.
-
(1983)
Stochastic, Temporal Influences on Contaminant Transport in Shallow, Phreatic Aquifers
-
-
Scheier, N.W.1
-
50
-
-
0000660083
-
Flow of viscoelastic fluids through porous media
-
Slattery, J. C.: 1967, Flow of viscoelastic fluids through porous media, A.I.Ch.E. J. 13, 1066.
-
(1967)
A.I.Ch.E. J.
, vol.13
, pp. 1066
-
-
Slattery, J.C.1
-
52
-
-
0018322795
-
Foundations theories of solute transport in porous media: A critical review
-
Sposito, G., Gupta, V. K. and Bhattacharya, R. N.: 1979, Foundations theories of solute transport in porous media: a critical review, Adv. Water Resour. 2, 59.
-
(1979)
Adv. Water Resour.
, vol.2
, pp. 59
-
-
Sposito, G.1
Gupta, V.K.2
Bhattacharya, R.N.3
-
53
-
-
0020330874
-
Numerical simulation of flow and contaminant migration at an extensive monitored landfill
-
Sykes, J. F., Pahwa, S. B., Lantz, R. B. and Ward, D. S.: 1982, Numerical simulation of flow and contaminant migration at an extensive monitored landfill, Water Resour. Res. 18(6), 1687.
-
(1982)
Water Resour. Res.
, vol.18
, Issue.6
, pp. 1687
-
-
Sykes, J.F.1
Pahwa, S.B.2
Lantz, R.B.3
Ward, D.S.4
-
54
-
-
0022715173
-
A second-order approach for the modeling of dispersive transport in porous media. 1. Theoretical development
-
Tompson, A. F. B. and Gray, W. G.: 1986a, A second-order approach for the modeling of dispersive transport in porous media. 1. Theoretical development, Water Resour. Res. 22(5), 591.
-
(1986)
Water Resour. Res.
, vol.22
, Issue.5
, pp. 591
-
-
Tompson, A.F.B.1
Gray, W.G.2
-
55
-
-
0022709419
-
A second-order approach for the modeling of dispersive transport in porous media. 2. Application to solute motion in pipes and capillary tubes
-
Tompson, A. F. B. and Gray, W. G.: 1986b, A second-order approach for the modeling of dispersive transport in porous media. 2. Application to solute motion in pipes and capillary tubes, Water Resour. Res. 22(5), 601.
-
(1986)
Water Resour. Res.
, vol.22
, Issue.5
, pp. 601
-
-
Tompson, A.F.B.1
Gray, W.G.2
-
56
-
-
0022873529
-
A second-order approach for the modeling of dispersive transport in porous media. 3. Application to two porous media problems
-
Tompson, A. F. B. and Gray, W. G.: 1986c, A second-order approach for the modeling of dispersive transport in porous media. 3. Application to two porous media problems, Water Resour. Res. 22(13), 1959.
-
(1986)
Water Resour. Res.
, vol.22
, Issue.13
, pp. 1959
-
-
Tompson, A.F.B.1
Gray, W.G.2
-
57
-
-
0019396650
-
Theorem for the local volume average of a gradient revised
-
Veverka, V.: 1981, Theorem for the local volume average of a gradient revised, Chem. Eng. Sci. 28, 833.
-
(1981)
Chem. Eng. Sci.
, vol.28
, pp. 833
-
-
Veverka, V.1
-
58
-
-
0001318470
-
The equations of motion in porous media
-
Whitaker, S. 1966, The equations of motion in porous media, Chem. Eng. Sci. 21, 291.
-
(1966)
Chem. Eng. Sci.
, vol.21
, pp. 291
-
-
Whitaker, S.1
-
59
-
-
84984083570
-
Diffusion and dispersion in porous media
-
Whitaker, S. 1967, Diffusion and dispersion in porous media, A.I.Ch.E. J. 13, 420.
-
(1967)
A.I.Ch.E. J.
, vol.13
, pp. 420
-
-
Whitaker, S.1
-
60
-
-
85023669587
-
Advances in theory of fluid Motion in porous media
-
Whitaker, S. 1969, Advances in theory of fluid Motion in porous media, Industr. Eng. Chem. 61, 14.
-
(1969)
Industr. Eng. Chem.
, vol.61
, pp. 14
-
-
Whitaker, S.1
-
61
-
-
0015564308
-
The transport equations for multi-phase systems
-
Whitaker, S. 1973, The transport equations for multi-phase systems, Chem. Eng. Sci. 28, 139.
-
(1973)
Chem. Eng. Sci.
, vol.28
, pp. 139
-
-
Whitaker, S.1
-
62
-
-
0022260146
-
A simple geometrical derivation of the spatial averaging theorem
-
Whitaker, S.: 1985, A simple geometrical derivation of the spatial averaging theorem, Chemical Engineering Education 19, 18.
-
(1985)
Chemical Engineering Education
, vol.19
, pp. 18
-
-
Whitaker, S.1
-
63
-
-
25444434607
-
-
People's Education Press, Beijing
-
Xia, D., Wu, Z., Yan, S. and Shu, W.: 1979, Real Analysis and Functional Analysis (in Chinese), People's Education Press, Beijing.
-
(1979)
Real Analysis and Functional Analysis (in Chinese)
-
-
Xia, D.1
Wu, Z.2
Yan, S.3
Shu, W.4
-
64
-
-
84970088655
-
Averaging and G-convergence of differential operators
-
Zhikov, V. Y., Kozlov, S. M., Oleinik, O. A. and T'en Ngoan, K.: 1979, Averaging and G-convergence of differential operators, Russian Math. Surveys 34, 69.
-
(1979)
Russian Math. Surveys
, vol.34
, pp. 69
-
-
Zhikov, V.Y.1
Kozlov, S.M.2
Oleinik, O.A.3
T'en Ngoan, K.4
-
65
-
-
84956270063
-
The G-convergence of parabolic operators
-
Zhikov, V. V., Kozlov, S. M., Oleinik, O. A. and T'en Ngoan, K.: 1981, The G-convergence of parabolic operators, Russian Math. Surveys 36, 11.
-
(1981)
Russian Math. Surveys
, vol.36
, pp. 11
-
-
Zhikov, V.V.1
Kozlov, S.M.2
Oleinik, O.A.3
T'en Ngoan, K.4
-
66
-
-
0001468597
-
On the dispersed flow in the laminar flow regime
-
Zuber, N.: 1964, On the dispersed flow in the laminar flow regime, Chem. Eng. Sci. 19, 897.
-
(1964)
Chem. Eng. Sci.
, vol.19
, pp. 897
-
-
Zuber, N.1
|