Fundamentals of computational geoscience: Numerical methods and algorithms

Lecture Notes in Earth Sciences

Volumn 122, Issue , 2009, Pages 1-257

  Zhao, Chongbin ^a   Hobbs, Bruce E ^b   Ord, Alison ^b,c  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^c CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84857837900     PISSN: 09300317     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-89743-9_1     Document Type: Article

References (215)

1. Alavyoon, F., 1993. On natural convection in vertical porous enclosures due to prescribed fluxes of heat and mass at the vertical boundaries, International Journal of Heat and Mass Transfer, 36, 2479-2498.
2. Alexiades, V. and Solomon, A. D., 1993. Mathematical Modelling of Melting and Freezing Processes, Hemisphere Publishing Co., Washington, D. C.
3. Antonellini, M. A. and Pollard, D. D., 1995. Distinct element modeling of deformation bands in sandstone, Journal of Structural Goelogy, 17, 1165-1182.
4. Appold, M. S. and Garven, G., 2000. Reactive flow models of ore formation in the Southeast Missouri district, Economic Geology and the Bulletin of the Society of Economic Geologists, 95, 1605-1626. (Pubitemid 32386296)
5. Bardet, J. P. and Proubet, J., 1992. The structure of shear bands in idealized granular materials, Applied Mechamics Review, 45, 118-122.
6. Barns, H. L., 1997., Geochemistry of Hydrothermal Ore Deposits, John Wiley and Sons Inc., New York.
7. Barsoum, R. S., 1976. On the use of isoparametric finite elements in linear fracture mechanics, International Journal for Numerical Methods in Engineering, 10, 25-37.
8. Barsoum, R. S., 1977. Triangular quarter point elements elastic and perfectly plastic crack tip elements, International Journal for Numerical Methods in Engineering, 11, 85-98.
9. Bear, J., 1972. Dynamics of Fluids in Porous Media, American Elsevier Publishing Company, New York.
10. Bear, J. and Bachmat, Y., 1990. Introduction to Modelling of Transport Phenomena in Porous Fractured Media. Kluwer Academic Press.
11. Beyer, R. P. and LeVeque, R. J., 1992. Analysis of a one-dimensional model for the immersed boundary method, SIAM Journal on Numerical Analysis, 29, 332-364.
12. Bons, P. D., Dougherty-Page, J. and Elburg, M. A., 2001. Stepwise accumulation and ascent of magmas, Journal of Metamorphic Geology, 19, 627-633.
13. Bouchard, P. O., Bay, Y. and Chastel Y., 2003. Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria, Computer Methods in Applied Mechanics and Engineering, 192, 3887-3908. (Pubitemid 37042313)
14. Braun, J., Munroe, S. M. and Cox, S. F., 2003. Transient fluid flow in and around a fault, Geofluids, 3, 81-87. (Pubitemid 36610765)
15. Buck, W. R. and Parmentier, E. M., 1986. Convection between young oceanic lithosphere: Implication for thermal structure and gravity, Journal of Geophysical Research, 91, 1961-1974.
16. Burbidge, D. R. and Braun, J., 2002. Numerical models of the evolution of accretionary wedges and fold-and-thrust belts using the distinct-element method, Geophysical Journal International, 148, 542-561. (Pubitemid 34246944)
17. Buretta, R. J. and Berman, A. S., 1976. Convective heat transfer in a liquid saturated porous layer, ASME Journal of Applied Mechanics, 43, 249-253.
18. Burnham, C. W., 1979. The importance of volatile constituents, in The Evolution of the Igneous Rocks: Fiftieth Anniversary Perspectives, Princeton University Press, New York.
19. Caltagirone, J. P., 1975. Thermoconvective instabilities in a horizontal layer, Journal of Fluid Mechanics, 72, 269-287.
20. Caltagirone, J. P., 1976. Thermoconvective instabilities in a porous medium bounded by two concentric horizontal cylinders, Journal of Fluid Mechanics, 76, 337-362.
21. Camborde, F., Mariotti, C. and Donze, F. V., 2000. Numerical study of rock and concrete behavior by distinct element modeling, Computers and Geotechnics, 27, 225-247.
22. Carslaw, H. and Jaeger, J., 1959. Conduction of Heat in Solids, Clarendon Press, Oxford.
23. Chadam, J., Hoff, D., Merino, E., Ortoleva, P. and Sen, A., 1986. Reactive infiltration instabilities, IMA Journal of Applied Mathematics, 36, 207-221.
24. Chadam, J., Ortoleva, P. and Sen, A., 1988. A weekly nonlinear stability analysis of the reactive infiltration interface, IMA Journal of Applied Mathematics, 48, 1362-1378.
25. Chen, J. S. and Liu, C. W., 2002. Numerical simulation of the evolution of aquifer porosity and species concentrations during reactive transport, Computers and Geosciences, 28, 485-499.
26. Chevalier, S., Bernard, D. and Joly, N., 1999. Natural convection in a porous layer bounded by impervious domains: from numerical approaches to experimental realization, International Journal of Heat and Mass Transfer, 42, 581-597.
27. Cline, J. S. and Hofstra, A. A., 2000. Ore-fluid evolution at the Getchell Carline-type gold deposit, Nevada, USA, European Journal of Mineralogy, 12, 195-212. (Pubitemid 30166520)
28. Combarnous, M. A. and Bories, S. A., 1975. Hydrothermal convection in saturated porous media, Adv. Hydroscience, 10, 231-307.
29. Connolly, J. A. D., 1997. Mid-crustal focused fluid movements: Thermal consequences and silica transport. In: Jamtveit, B. and Yardley, B. W. D. (Eds.), Fluid Flow and Transport in Rocks: Mechanics and Effects, Chapman and Hall, London, pp. 235-250.
30. Cook, R. D., Malkus, D. S. and Plesha, M. E., 1989. Concepts and Applications of Finite Element Analysis, Wiley, New York.
31. Cox, S. F., Sun, S. S., Etheridge, M. A., Wall, V. J. and Potter, T. F., 1995. Structural and geo-chemical controls on the development of turbidite-hosted gold quartz vein deposits, Wattle Gully mine, central Victoria, Australia, Economic Geology and the Bulletin of the Society of Economic Geologists, 90, 1722-1746.
32. Crank, J., 1984. Free and Moving Boundary Problems, Oxford University Press, London.
33. Cundall, P. A. and Strack, O. D. L., 1979. A discrete numerical model for granular assemblies, Geotechnique, 29, 47-65. (Pubitemid 9433658)
34. Cundall, P. A., 2001. A discontinuous future for numerical modelling in geomechanics?, Proceedings of the Institution of Civil Engineers: Geotechnical Engineering, 149, 41-47. (Pubitemid 34455486)
35. Detournay, E. and Cheng, A. H. D., 1993. Fundamentals of poroelasticity. In: J. A. Hudson and C. Fairhurst (Eds.), Comprehensive Rock Engineering, Vo l. 2: Analysis and Design Methods, Pergamon Press, New York.
36. Doin, M. P., Fleitout, L. and Christensen, U., 1997. Mantle convection and stability of depleted and undepleted continental lithosphere, Journal of Geophysical Research, 102, 2771-2787.
37. Donze, F., Mora, P. and Magnier, S. A., 1994. Numerical simulation of faults and shear zones, Geophysical Journal International, 116, 46-52. (Pubitemid 24423520)
38. Donze, F., Magnier, S. A. and Bouchez, J., 1996. Numerical modeling of a highly explosive source in an elastic-brittle rock mass, Journal of Geophysical Research, 101, 3103-3112.
39. Erdogan, F. and Sih, G. C., 1963. On the crack extension in plane loading and transverse shear, Journal Basic Engineering, 85, 519-527.
40. Everett, C. E., Wilkinson, J. J. and Rye, D. M., 1999. Fracture-controlled fluid flow in the Lower Palaeozoic basement rocks of Ireland: implications for the genesis of Irish-type Zn-Pb deposits. In: McCaffrey, K. J. W., Lonergan. L. and Wilkinson, J. J. (Eds), Fractures, Fluid Flow and Mineralization, Geological Society, London, Special Publications 155, 247-276.
41. Finch, E., Hardy, S. and Gawthorpe, R., 2003. Discrete element modeling of contractional fault-propagation folding above rigid basement fault blocks, Journal of Strctural Geology, 25, 515-528. (Pubitemid 36017487)
42. Finch, E., Hardy, S. and Gawthorpe, R., 2004. Discrete element modeling of extensional fault-propagation folding above rigid basement fault blocks, Basin Research, 16, 489-506. (Pubitemid 40046981)
43. Fleck, N. A. and Willis, J. R., 2004. Bounds and estimates for the effects of strain gradients upon the effective plastic properties of an isotropic two-phase composite, Journal of the Mechanics and Physics of Solids, 52, 1855-1888.
44. Fluid Dynamics International, 1997. Fluid Dynamics Analysis Package: FIDAP, Fluid Dynamics International Inc., Illinois.
45. G+D Computing, 1991. Strand6 Reference Manual and User Guide, G+D Computing, Sydney.
46. Garven, G. and Freeze, R. A., 1984. Theoretical analysis of the role of groundwater flow in the genesis of stratabound ore deposits: Mathematical and numerical model, American Journal of Science, 284, 1085-1124. (Pubitemid 15425497)
47. Garven, G., Appold, M. S., Topygina, V. I. and Hazlett, T. J., 1999. Hydrologic modeling of the genesis of carbonate-hosted lead-zinc ores. Hydrogeology Journal, 7, 108-126. (Pubitemid 129636092)
48. Gawin, D., Pesavento, F. and Schrefler, B. A., 2003. Modelling of hygro-thermal behaviour of concrete at high temperature with thermal-chemical and mechanical material degradation, Computer Methods in Applied Mechanics and Engineering, 192, 1731-1771. (Pubitemid 36346062)
49. Gobin, D. and Bennacer, R., 1994. Double diffusion convection in a vertical fluid layer: onset of the convection regime, Physical Fluids, 6, 59-67.
50. Gow, P., Upton, P., Zhao, C. and Hill, K., 2002. Copper-gold mineralization in the New Guinea: Numerical modeling of collision, fluid flow and intrusion-related hydrothermal systems, Australian Journal of Earth Sciences, 49, 753-771. (Pubitemid 35016491)
51. Goyeau, B., Songbe, J. P. and Gobin, D., 1996. Numerical study of double-diffusive convection in a porous cavity using Darcy-Brinkman formulation, International Journal of Heat and Mass Transfer, 39, 1363-1378. (Pubitemid 126379601)
52. Haar L., Gallagher, J. S. and Kell, G. S., 1984. NBS/NRC Steam Tables: Thermodynamic and Transport Properties and Computer Programs for Vapor and Liquid States of Water in SI Units, Taylor & Francis, New York.
53. Hellen, T. K., 1975. On the method of virtural crack extensions, International Journal for Numerical Methods in Engineering, 9, 187-207.
54. Hitzmann, M. W., 1995. Mineralisation in the Irish Zn-Pb-(Ba-Ag) Orefield. In: Anderson, K., Ashton, J., Earls, G., Hitzman, M. and Tear, S. (Eds.), Irish Carbonate-Hosted Deposits, Society of Economic Geologists, Guidebook Series, 21, 25-61.
55. Hobbs, B. E., Zhang, Y., Ord, A. and Zhao, C., 2000. Application of coupled deformation, fluid flow, thermal and chemical modelling to predictive mineral exploration, Journal of Geochemi-cal Exploration, 69, 505-509. (Pubitemid 30488365)
56. Horton, C. W. and Rogers, F. T., 1945. Convection currents in a porous medium, Journal of Applied Physics, 16, 367-370.
57. Imber, J., Tuckwell, G. W., Childs, C., Walsh, J. J., Manzocchi, T., Heath, A. E., Bonson, C. G. and Strand, J., 2004. Three-dimensional distinct element modeling of relay growth and breaching along normal faults, Journal of Structural Geology, 26, 1897-1911. (Pubitemid 39102779)
58. Ingraffea, A. R. and Manu, C., 1980. Stress-intensity factor computation in three dimensions with quarter-point elements, International Journal for Numerical Methods in Engineering, 15, 1427-1445. (Pubitemid 11451572)
59. Islam, M. R. and Nandakumar, K., 1990. Transient convection in saturated porous layers, International Journal of Heat Mass Transfer, 33, 151-161.
60. Itasca Consulting Group, 1995. Fast Lagrangian Analysis of Continua (FLAC), Itasca Consulting Group, Inc., Minnesota.
61. Itasca Consulting Group, Inc., 1999. Particle Flow Code in Two Dimensions (PFC2D), Minneapolis, Minnesota, USA.
62. Iwashita, K. and Oda, M., 2000. Micro-deformation mechanism of shear banding process based on modified distinct element method, Powder Technology, 109, 192-205. (Pubitemid 30177124)
63. Jaeger, J. C. and Cook, N. G. W., 1976. Fundamentals of rock mechanics, Chapman & Hall, London.
64. Jiang, Z., Oliver, N. H. S., Barr, T. D., Power, W. L. and Ord, A., 1997. Numerical modelling of fault-controlled fluid flow in the genesis of tin deposits of the Malage ore field, Gejiu mining district, China, Economic Geology, 92, 228-247.
65. Johnson, A. M. and Pollard, D. D., 1973. Mechanics of growth of some laccolithic intrusions in the Henry Mountains, Utah, I, Tectonophysics, 18, 261-309.
66. Joly, N., Bernard, D. and Menegazzi, P., 1996. ST2D3D: A finite element program to compute stability criteria for natural convection in complex porous structures, Numerical Heat Transfer, Part B, 29, 91-112. (Pubitemid 126593707)
67. Kaviany, M., 1984. Thermal convective instabilities in a porous medium, ASME Journal of Heat Transfer, 106, 137-142. (Pubitemid 14526156)
68. Khoei, A. R. and Lewis, R. W., 1999. Adaptive finite element remeshing in a large deformation analysis of metal power forming, International Journal for Numerical Methods in Engineering, 45, 801-820.
69. Klerck, P. A., Sellers, E. J. and Owen, D. R. J., 2004. Discrete fracture in quasi-brittle materials under compressive and tensile stress states, Computer Methods in Applied Mechanics and Engineering, 193, 3035-3056. (Pubitemid 38653550)
70. Kwak, D. Y., Cheon, J. S. and Im, Y. T., 2002. Remeshing for metal forming simulations: part I: Two-dimensional quadrilateral remeshing, International Journal for Numerical Methods in Engineering, 53, 2436-2500.
71. Lapwood, E. R., 1948. Convection of a fluid in a porous medium, Proceedings of the Cambridge Philosophical Society, 44, 508-521.
72. Lasaga, A. C., 1984. Chemical kinetics of water-rock interactions, Journal of Geophysical Research, 89, 4009-4025.
73. Lebon, G. and Cloot, A., 1986. A thermodynamical modeling of fluid flows through porous media: Application to natural convection, International Journal of Heat Mass Transfer, 29, 381-390. (Pubitemid 16536706)
74. Lee, N. S. and Bathe, K. J., 1994. Error indicators and adaptive remeshing in large deformation finite element analysis, Finite Elements in Analysis and Design, 16, 99-139.
75. Lewis, R. W. and Schrefler, B. A., 1998. The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media, John Wiley & Sons, New York.
76. Li, F. Z., Shih, C. F. and Needleman, A., 1985. A comparison of methods for calculating energy release rate, Engineering Fracture Mechanics, 21, 405-421. (Pubitemid 15508081)
77. Lin, G., Zhao, C., Hobbs, B. E., Ord, A. and Muhlhaus, H. B., 2003. Theoretical and numerical analyses of convective instability in porous media with temperature-dependent viscosity, Communications in Numerical Methods in Engineering, 19, 787-799. (Pubitemid 37379440)
78. Lister, J. R. and Kerr, R. C., 1991. Fluid-mechanics models of crack propagation and their application to magma transport in dykes, Journal of Geophysical Research, 96, 10049-10077.
79. Liu, L., Yang, G., Peng, S. and Zhao, C., 2005. Numerical modelling of coupled geodynamical processes and its role in facilitating predictive ore discovery: An example from Tongling, China, Resource Geology, 55, 21-31. (Pubitemid 40560641)
80. Lorenzi, H. G., 1985, Energy release rate calculations by the finite element method, Engineering Fracture Mechanics, 21, 129-143.
81. Mamou, M., Vasseur, P. and Bilgen, E., 1998. Double-diffusive convection instability in a vertical porous enclosure, Journal of Fluid Mechanics, 368, 263-289. (Pubitemid 128488672)
82. Marsh, B. D., 1982. On the mechanics of igneous diapirism, stoping, and zone melting, American Journal of Science, 282, 808-855.
83. Matthai, S. K., Henley, R. W. and Heinrich, C. A., 1995. Gold precipitation by fluid mixing in bedding-parallel fractures near carbonaceous slates at the Cosmopolitan Howley gold deposit, northern Australia, Economic Geology and the Bulletin of the Society of Economic Geologists, 90, 2123-2142. (Pubitemid 26481687)
84. Mazouchi, A. and Homsy, G. M., 2000. Thermocapillary migration of long bubbles in cylindrical capillary tubes, Physics of Fluids, 12, 542-549.
85. McBride, A. Govender, I., Powell, M. and Cloete, T., 2004. Contributions to the experimental validation of the discrete element method applied to tumbling mills, Engineering Computations, 21, 119-136.
86. McKibbin, R. and O'Sullivan, M. J., 1980. Onset of convection in a layered porous medium heated from below, Journal of Fluid Mechanics, 96, 375-393. (Pubitemid 10453166)
87. McLellan, J, G., Oliver, N. H. S., Ord, A., Zhang, Y. and Schaubs, P. M., 2003. A numerical modelling approach to fluid flow in extensional environments: implications for genesis of large microplaty hermatite ores, Journal of Geochemical Exploration, 78-79, 675-679. (Pubitemid 46537951)
88. Murphy, F. C., Ord, A., Hobbs, B. E., Willetts, G. and Barnicoat, A. C., 2008. Targeting stratiform Zn-Pb-Ag massive sulfide deposits in Ireland through numerical modeling of coupled deformation, thermal transport and fluid flow, Economic Geology, 103, 1437-1458.
89. Nguyen, H. D., Pack, S. and Douglass, R. W., 1994. Study of double diffusive convection in a layered anisotropic porous medium, Numerical Heat Transfer, 26, 489-505.
90. Nield, D. A., 1968. Onset of thermohaline convection in a porous medium, Water Resources Research, 11, 553-560.
91. Nield, D. A. and Bejan, A., 1992. Convection in Porous Media, Springer-Verlag, New York.
92. Nithiarasu, P., Seetharamu, K. N. and Sundararajan, T., 1996. Double-diffusive natural convection in an enclosure filled with fluid-saturated porous medium: a generalized non-Darcy approach, Numerical Heat Transfer, 30, 430-436.
93. Obdam, A. N. M. and Veling, E. J. M., 1987. Elliptical inhomogeneities in groundwater flow: An analytical description, Journal of Hydrology, 95, 87-96. (Pubitemid 18532793)
94. Oliver, N. H. S., Pearson, P. J., Holcombe, R. J. and Ord, A., 1999. Mary Kathleen metamorphic-hydrothermal uranium-rare-earth element deposit: ore genesis and numerical model of coupled deformation and fluid flow, Australian Journal of Earth Sciences, 46, 467-484. (Pubitemid 29471549)
95. Oliver N. H. S., 2001. Linking of regional and local hydrothermal systems in the mid-crust by shearing and faulting, Tectonophysics, 335, 147-161. (Pubitemid 32719338)
96. Oliver, N. H. S., Ord, A., Valenta, R. and Upton, P., 2001. Deformation, fluid flow, and ore genesis in heterogeneous rocks, with examples and numerical models from the Mount Isa District, Australia, Reviews in Economic Geology, 14, 51-74.
97. Ord, A. and Oliver, N. H. S., 1997. Mechanical controls on fluid flow during regional metamor-phism: some numerical models, Journal of Metamorphic Geology, 15, 345-359.
98. Ord, A., Hobbs, B. E., Zhang, Y., Broadbent, G. C., Brown, M., Willetts, G., Sorjonen-Ward, P., Walshe, J. and Zhao, C., 2002. Geodynamic modelling of the Century deposit, Mt Isa Province, Queensland, Australian Journal of Earth Sciences, 49, 1011-1039. (Pubitemid 36017467)
99. Ord, A. and Sorjonen-Ward, P., 2003. Simulating the Outokumpu mineralising system, The AusIMM Bulletin, 5, 46-47.
100. Ormond, A. and Ortoleva, P., 2000. Numerical modeling of reaction-induced cavities in a porous rock, Journal of Geophysical Research, 105, 16737-16747.
101. Ortoleva, P., Chadam, J., Merino, E. and Sen, A., 1987. Geochemical self-organization II: The reactive-infiltration instability, American Journal of Science, 287, 1008-1040.
102. Osher, S. and Sethian, J. A., 1998. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, 79, 12-49.
103. Owen, D. R. J., Feng, Y. T., de Souza Neto, E. A., Cottrell, M. G., Wang, F., Andrade Pires, F. M. and Yu, J., 2004. The modelling of multi-fracturing solids and particular media, International Journal for Numerical Methods in Engineering, 60, 317-339. (Pubitemid 38571075)
104. Palm, E., Weber, J. E. and Kvernvold, O., 1972. On steady convection in a porous medium, Journal of Fluid Mechanics, 54, 153-161.
105. Peacock, S. M., 1989. Numerical constraints on rates of metamorphism, fluid production and fluid flux during regional metamorphism, Geological Society of America Bulletin, 101, 476-485.
106. Phillips, O. M., 1991. Flow and Reactions in Permeable Rocks, Cambridge University Press, Cambridge.
107. Pillatsis, G., Taslim, M. E. and Narusawa, U., 1987. Thermal instability of a fluid-saturated porous medium bounded by thin fluid layers, ASME Journal of Heat Transfer, 109, 677-682. (Pubitemid 17634200)
108. Potyondy, D. O. and Cundall, P. A., 2004. A bonded-particle model for rock, International Journal of Rock Mechanics and Mining Science, 41, 1329-1364. (Pubitemid 39615643)
109. Raffensperger, J. P. and Garven, G., 1995, The formation of unconformity-type uranium ore deposits: Coupled hydrochemical modelling, American Journal of Science, 295, 639-696. (Pubitemid 26457011)
110. Rice, J. R., 1968. A path independent integral and the approximate analysis of strain concentrations by notches and cracks, Journal of Applied Mechanics, 35, 379-386.
111. Riley, D. S. and Winters, K. H., 1989. Modal exchange mechanisms in Lapwood convection, Journal of Fluid Mechanics, 204, 325-358.
112. Rubin, A. M., 1995. Propagation of magma-filled cracks, Annual Reviews of Earth Planetary Science, 23, 287-336.
113. Saltzer, S. D. and Pollard, D. D., 1992. Distinct element modeling of structures formed in sedimentary overburden by extensional reactivation of basement normal faults, Tectonics, 11, 165-174.
114. Salman, A. D. and Gorham, D. A., 2000. The fracture of glass spheres, Powder Technology, 107, 179-185. (Pubitemid 30035214)
115. Schafer, D., Schafer, W. and Kinzelbach, W., 1998a. Simulation of reactive processes related to biodegradation in aquifers: 1. Structure of the three-dimensional reactive transport model, Journal of Contaminant Hydrology, 31, 167-186. (Pubitemid 28346210)
116. Schafer, D., Schafer, W. and Kinzelbach, W., 1998b. Simulation of reactive processes related to biodegradation in aquifers: 2. Model application to a column study on organic carbon degradation, Journal of Contaminant Hydrology, 31, 187-209. (Pubitemid 28346211)
117. Schaubs, P. and Zhao, C., 2002. Numerical modelling of gold-deposit formation in the Bendigo-Ballarat zone, Victoria, Australian Journal of Earth Sciences, 49, 1077-1096. (Pubitemid 36017469)
118. Scheidegger, A. E., 1974. The Physics of Flow through Porous Media, University of Toronto Press, Toronto.
119. Schopfer, M. P. J., Childs, C. and Walsh, J. J., 2006. Localization of normal faults in multilayer sequences, Journal of Structural Geology, 28, 816-833. (Pubitemid 43812171)
120. Schrefler, B. A., 2004. Multiphase flow in deforming porous material, International Journal for Numerical Methods in Engineering, 60, 27-50. (Pubitemid 38583237)
121. Schrefler, B. A., Khoury, G. A., Gawin, D. and Majorana C. E., 2002. Thermo-hydro-mechanical modelling of high performance concrete at high temperatures, Engineering Computations, 19, 787-819.
122. Schubert, W., Khanal, M. and Tomas, J., 2005. Impact crushing of particle-particle compounds: experiment and simulation, International Journal of Mineral Processing, 75, 41-52.
123. Scott, D. R., 1996. Seismicity and stress rotation in a granular model of the brittle crust, Nature, 381, 592-595.
124. Sethian, J. A., 1999. Level Set Methods and Fast Marching Methods, Cambridge University, Cambridge.
125. Sheldon, H. A. and Ord, A., 2005. Evolution of porosity, permeability and fluid pressure in dilatant faults post-failure: Implications for fluid flow and mineralization, Geofluids, 5, 272-288. (Pubitemid 41582441)
126. Sih, G. C. and Macdonald, B., 1974. Fracture mechanics applied to engineering problems: strain energy density fracture criterion, Engineering Fracture Mechanics, 6, 361-386.
127. Smooke M. D., Mcenally, C. S., Pfefferle, L. D., Hall, R. J. and Colket, M. B., 1999. Computational and experimental study of soot formation in a coflow, laminar diffusion flame, Combustion and Flame, 117, 117-139. (Pubitemid 29066204)
128. Sorjonen-Ward, P., Zhang, Y. and Zhao, C., 2002. Numerical modelling of orogenic processes and mineralization in the south eastern part of the Yilgarn Craton, Western Australia, Australian Journal of Earth Sciences, 49, 935-964. (Pubitemid 36017464)
129. Steefel, C. I. and Lasaga, A. C., 1990. Evolution of dissolution patterns: Permeability change due to coupled flow and reaction. In: Melchior, D. C. and Basset, R. L. (Eds.), Chemical Modeling in Aqueous Systems II, American Chemistry Society Symposium Series, 416, 213-225.
130. Steefel, C. I. and Lasaga, A. C., 1994. A coupled model for transport of multiple chemical species and kinetic precipitation/dissolution reactions with application to reactive flow in single phase hydrothermal systems. American Journal of Science, 294, 529-592.
131. Strayer, L. M. and Huddleston, P. J., 1997. Numerical modeling of fold initiation at thrust ramps, Journal of Structural Geology, 19, 551-566.
132. Strayer, L. M. and Suppe, J., 2002. Out-of-plane motion of a thrust sheet during along-strike propagation of a thrust ramp: a distinct-element approach, Journal of Structural Geology, 24, 637-650. (Pubitemid 35224982)
133. Suiker, A. S. J. and Fleck, N. A., 2004. Frictional collapse of granular assemblies, Journal of Applied Mechanics-Transactions of the ASME, 71, 350-358. (Pubitemid 40122604)
134. Thomton, C., Ciomocos, M. T. and Adams, M. J., 1999. Numerical simulations of agglomerate impact breakage, Powder Technology, 105, 74-82. (Pubitemid 29531596)
135. Tomas, J., Schreier, M., Groger, T. and Ehlers, S., 1999. Impact crushing of concrete for liberation and recycling, Powder Technology, 105, 39-51. (Pubitemid 29531592)
136. Tornberg, A. K. and Engquist, B., 2003a. The segment projection method for interface tracking, Communications on Pure and Applied Mathematics, 56, 47-79. (Pubitemid 38628608)
137. Tornberg, A. K. and Engquist, B., 2003b. Regularization techniques for numerical approximation of PDEs with singularities, Journal of Scientific Computing, 19, 527-552.
138. Trevisan, O. V. and Bejan, A., 1987. Mass and heat transfer by high Rayleigh number convection in a porous medium heated from below, International Journal of Mass Heat Transfer, 30, 2341-2356. (Pubitemid 18546095)
139. Turcotte, D. L. and Schubert, G., 1982. Geodynamics: Applications of Continuum Physics to Geological Problems, John Wiley & Sons, New York.
140. Walden, J., 1999. On the approximation of singular source terms in differential equations, Numerical Methods for Partial Differential Equations, 15, 503-520. (Pubitemid 129494151)
141. Weinberg, R. F., 1996. Ascent mechanism of felsic magmas: News and views, Transactions of the Royal Society of Edinburgh: Earth Sciences, 87, 95-103.
142. Wilde, A. R. and Wall, V. J., 1987. Geology of the Nabarlek Uranium deposit, Northern-territory, Australia, Economic Geology, 82, 1152-1168.
143. Xu, T. F., Samper, J. Ayora, C., Manzano, M. and Custodio, E., 1999. Modelling of non-isothermal multi-component reactive transport in field scale porous media flow systems, Journal of Hydrology, 214, 144-164. (Pubitemid 29087403)
144. Xu, T. F., Apps, J. A. and Pruess, K., 2004. Numerical simulation of CO2 disposal by mineral trapping in deep aquifers, Applied Geochemistry, 19, 917-936. (Pubitemid 38503467)
145. Yang, J. W., 2006. Full 3-D numerical simulation of hydrothermal fluid flow in faulted sedimentary basins: Example of the McArthur Basin, Northern Australia. Journal of Geochemical Exploration, 89, 440-444.
146. Yardley, B. W. D. and Bottrell, S. H., 1992. Silica mobility and fluid movement during metamorphism of the Connemara schists, Ireland, Journal of Metamorphic Geology, 10, 453-464.
147. Yardley, B. W. D. and Lloyd, G. E., 1995. Why metasomatic fronts are really sides, Geology, 23, 53-56.
148. Yeh, G. T. and Tripathi, V. S., 1989. A critical evaluation of recent developments in hydrogeo-chemical transport models of reactive multichemical components, Water Resources Research, 25, 93-108. (Pubitemid 19302634)
149. Yeh, G. T. and Tripathi, V. S., 1991. A model for simulating transport of reactive multi-species components: Model development and demonstration, Water Resources Research, 27, 3075-3094.
150. Zhang, Y., Hobbs, B. E., Ord, A. Barnicoat, A., Zhao, C. and Lin, G., 2003. The influence of faulting on host-rock permeability, fluid flow and ore genesis of gold deposits: a theoretical 2D numerical model, Journal of Geochemical Exploration, 78-79, 279-284. (Pubitemid 46537887)
151. Zhang, Y., Lin, G., Wang, Y. J., Roberts, P. A. and Ord, A., 2007. Numerical modelling of deformation and fluid flow in the Shui-Kou-Shan Mineralisation District, Hunan Province, China, Ore Geology Review, 31, 261-278. (Pubitemid 46395132)
152. Zhao, C. and Valliappan S., 1993a. Transient infinite elements for seepage problems in infinite media, International Journal for Numerical and Analytical Methods in Geomechanics, 17, 324-341.
153. Zhao, C. and Valliappan S., 1993b. Mapped transient infinite elements for heat transfer problems in infinite media, Computer Methods in Applied Mechanics and Engineering, 108, 119-131.
154. Zhao, C. and Valliappan S., 1994a. Transient infinite elements for contaminant transport problems in infinite media, International Journal for Numerical Methods in Engineering, 37, 1143-1158.
155. Zhao, C. and Valliappan S., 1994b. Numerical modelling of transient contaminant migration problems in infinite porous fractured media using finite/infinite element technique: Theory and Parametric study, International Journal for Numerical and Analytical Methods in Geomechanics, 18, 523-564.
156. Zhao, C., Xu, T. P. and Valliappan, S., 1994c. Numerical modelling of mass transport problems in porous media: A review, Computers and Structures, 53, 849-860.
157. Zhao, C. and Steven, G. P., 1996a. Asymptotic solutions for predicted natural frequencies of two-dimensional elastic solid vibration problems in finite element analysis, International Journal for Numerical Methods in Engineering, 39, 2821-2835. (Pubitemid 126648050)
158. Zhao, C. and Steven, G. P., 1996b. An asymptotic formula for correcting finite element predicted natural frequencies of membrane vibration problems, Communications in Numerical Methods in Engineering, 11, 63-73. (Pubitemid 126529404)
159. Zhao, C. and Steven, G. P., 1996c. A practical error estimator for predicted natural frequencies of two-dimensional elastodynamic problems, Engineering Computations, 13, 19-37. (Pubitemid 126580458)
160. Zhao, C., Steven, G. P. and Xie, Y. M., 1996d. Evolutionary natural frequency optimization of thin plate bending vibration problems, Structural Optimization, 11, 244-251. (Pubitemid 126650422)
161. Zhao, C., Steven, G. P. and Xie, Y. M., 1996e. General evolutionary path for fundamental natural frequencies of structural vibration problems: towards optimum from below, Structural Engineering and Mechanics, 4, 513-527. (Pubitemid 126594294)
162. Zhao C., Mühlhaus, H. B. and Hobbs, B. E., 1997a. Finite element analysis of steady-state natural convection problems in fluid-saturated porous media heated from below, International Journal for Numerical and Analytical Methods in Geomechanics, 21, 863-881. (Pubitemid 127555019)
163. Zhao, C., Steven, G. P. and Xie, Y. M., 1997b. Effect of initial nondesign domain on optimal topologies of structures during natural frequency optimization, Computers and Structures, 62, 119-131. (Pubitemid 127415320)
164. Zhao, C., Steven, G. P. and Xie, Y. M., 1997c. Evolutionary natural frequency optimization of 2D structures with additional nonstructural lumped masses, Engineering Computations, 14, 233-251. (Pubitemid 127622945)
165. Zhao, C., Steven, G. P. and Xie, Y. M., 1997d. Evolutionary optimization of maximizing the difference between two natural frequencies of a vibrating structure, Structural Optimization, 13, 148-154. (Pubitemid 127676959)
166. Zhao C., Hobbs, B. E. and Mühlhaus, H. B., 1998a. Finite element modelling of temperature gradient driven rock alteration and mineralization in porous rock masses, Computer Methods in Applied Mechanics and Engineering, 165, 175-187. (Pubitemid 29134395)
167. Zhao C., Muhlhaus, H. B. and Hobbs, B. E., 1998b. Effects of geological inhomogeneity on high Rayleigh number steady-state heat and mass transfer in fluid-saturated porous media heated from below, Numerical Heat Transfer, 33, 415-431. (Pubitemid 128602555)
168. Zhao, C., Steven, G. P. and Xie, Y. M., 1998c. A generalized evolutionary method for natural frequency optimization of membrane vibration problems in finite element analysis, Computers and Structures, 66, 353-364. (Pubitemid 128391399)
169. Zhao, C., Hornby, P., Steven, G. P. and Xie, Y. M., 1998d. A generalized evolutionary method for numerical topology optimization of structures under static loading conditions, Structural Optimization, 15, 251-260. (Pubitemid 128647640)
170. Zhao C., Hobbs, B. E. and Mühlhaus, H. B., 1998e. Analysis of pore-fluid pressure gradient and effective vertical-stress gradient distribution in layered hydrodynamic systems, Geophysical Journal International, 134, 519-526. (Pubitemid 28472611)
171. Zhao, C., Hobbs, B. E. and Mühlhaus, H. B., 1999a. Finite element modelling of reactive mass transport problems in fluid-saturated porous media, Communications in Numerical Methods in Engineering, 15, 501-513.
172. Zhao C., Hobbs, B. E. and Mühlhaus, H. B., 1999b. Theoretical and numerical analyses of convec-tive instability in porous media with upward throughflow, International Journal for Numerical and Analytical Methods in Geomechanics, 23, 629-646.
173. Zhao, C., Hobbs, B. E. and Mühlhaus, H. B., 1999c. Effects of medium thermoelasticity on high Rayleigh number steady-state heat transfer and mineralization in deformable fluid-saturated porous media heated from below, Computer Methods in Applied Mechanics and Engineering, 173, 41-54. (Pubitemid 29346364)
174. Zhao C., Hobbs, B. E., Mühlhaus, H. B. and Ord, A., 1999d. Finite element analysis of flow patterns near geological lenses in hydrodynamic and hydrothermal systems, Geophysical Journal International, 138, 146-158. (Pubitemid 29462072)
175. Zhao, C., Hobbs, B. E., Mühlhaus, H. B. and Ord, A., 1999f. A consistent point-searching algorithm for solution interpolation in unstructured meshes consisting of 4-node bilinear quadrilateral elements, International Journal for Numerical Methods in Engineering, 45, 1509-1526. (Pubitemid 129540473)
176. Zhao, C., Hobbs B. E., Baxter, K., Mühlhaus H. B. and Ord, A., 1999g. A numerical study of pore-fluid, thermal and mass flow in fluid-saturated porous rock basins, Engineering Computations, 16, 202-214.
177. Zhao, C., Hobbs, B. E. and Mühlhaus, H. B., 2000a. Finite element analysis of heat transfer and mineralization in layered hydrothermal systems with upward throughflow, Computer Methods in Applied Mechanics and Engineering, 186, 49-64. (Pubitemid 30411410)
178. Zhao, C., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Lin, G., 2000b. Numerical modelling of double diffusion driven reactive flow transport in deformable fluid-saturated porous media with particular consideration of temperature-dependent chemical reaction rates, Engineering Computations, 17, 367-385.
179. Zhao, C., Hobbs, B. E., Mühlhaus, H. B. and Ord, A., 2000c. Finite element modelling of dissi-pative structures for nonequilibrium chemical reactions in fluid-saturated porous media, Computer Methods in Applied Mechanics and Engineering, 184, 1-14. (Pubitemid 30231926)
180. Zhao, C., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Lin, G., 2001a. Finite element modelling of three-dimensional convection problems in pore-fluid saturated porous media heated from below, Communications in Numerical Methods in Engineering, 17, 101-114.
181. Zhao C., Lin, G., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Wang, Y., 2001b. Finite element modelling of heat transfer through permeable cracks in hydrothermal systems with upward throughflow, Engineering Computations, 18, 996-1011. (Pubitemid 34148045)
182. Zhao, C., Hobbs, B. E., Walshe, J. L., Mühlhaus, H. B. and Ord, A., 2001c. Finite element modeling of fluid-rock interaction problems in pore-fluid saturated hydrother-mal/sedimentary basins, Computer Methods in Applied Mechanics and Engineering, 190, 2277-2293. (Pubitemid 32232585)
183. Zhao, C., Hobbs, B. E., Mühlhaus, H. B. and Ord, A., 2001d., Finite element modelling of rock alteration and metamorphic process in hydrothermal systems, Communications in Numerical Methods in Engineering, 17, 833-843. (Pubitemid 34018784)
184. Zhao, C., Lin, G., Hobbs, B. E., Wang, Y., Mühlhaus, H. B. and Ord, A., 2002a. Finite element modelling of reactive fluids mixing and mineralization in pore-fluid saturated hydrothermal/sedimentary basins, Engineering Computations, 19, 364-387.
185. Zhao, C., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Lin, G., 2002b. Computer simulations of coupled problems in geological and geochemical systems, Computer Methods in Applied Mechanics and Engineering, 191, 3137-3152. (Pubitemid 34696445)
186. Zhao C., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Lin, G., 2002c. Analysis of steady-state heat transfer through mid-crustal vertical cracks with upward throughflow in hydrothermal systems, International Journal for Numerical and Analytical Methods in Geomechanics, 26, 1477-1491. (Pubitemid 35358555)
187. Zhao, C., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Lin, G., 2003a. Finite element modeling of three-dimensional steady-state convection and lead/zinc mineralization in fluid-saturated rocks, Journal of Computational Methods in Science and Engineering, 3, 73-89.
188. Zhao, C., Hobbs, B. E., Ord, A., Lin, G. and Mühlhaus, H. B., 2003b. An equivalent algorithm for simulating thermal effects of magma intrusion problems in porous rocks, Computer Methods in Applied Mechanics and Engineering, 192, 3397-3408. (Pubitemid 36967745)
189. Zhao, C., Hobbs, B. E., Ord, A., Mühlhaus, H. B. and Lin, G., 2003c. Effect of material anisotropy on the onset of convective flow in three-dimensional fluid-saturated faults, Mathematical Geology, 35, 141-154. (Pubitemid 38149270)
190. Zhao, C., Hobbs, B. E., Mühlhaus, H. B., Ord, A. and Lin, G., 2003d. Convective instability of three-dimensional fluid-saturated geological fault zones heated from below, Geophysical Journal International, 155, 213-220. (Pubitemid 37293467)
191. Zhao, C., Lin, G., Hobbs, B. E., Ord, A., Wang, Y. and Mühlhaus, H. B., 2003e. Effects of hot intrusions on pore-fluid flow and heat transfer in fluid-saturated rocks, Computer Methods in Applied Mechanics and Engineering, 192, 2007-2030.
192. Zhao, C., Hobbs, B. E., Ord, A., Peng, S., Mühlhaus, H. B. and Liu, L., 2004. Theoretical investigation of convective instability in inclined and fluid-saturated three-dimensional fault zones, Tectonophysics, 387, 47-64. (Pubitemid 40032247)
193. Zhao, C., Hobbs, B. E., Ord, A., Peng, S., Mühlhaus, H. B. and Liu, L., 2005a. Numerical modeling of chemical effects of magma solidification problems in porous rocks, International Journal for Numerical Methods in Engineering, 64, 709-728. (Pubitemid 41444695)
194. Zhao, C., Hobbs, B. E., Ord, A., Peng, S., Mühlhaus, H. B. and Liu, L., 2005b. Double diffusion-driven convective instability of three-dimensional fluid-saturated geological fault zones heated from below, Mathematical Geology, 37, 373-391. (Pubitemid 41086400)
195. Zhao, C., Hobbs, B. E., Ord, A., Kuhn, M., Mühlhaus, H. B. and Peng, S., 2006a. Numerical simulation of double-diffusion driven convective flow and rock alteration in three-dimensional fluid-saturated geological fault zones, Computer Methods in Applied Mechanics and Engineering, 195, 2816-2840.
196. Zhao, C., Hobbs, B. E., Ord, A. and Hornby, P., 2006b. Chemical reaction patterns due to fluids mixing and focusing around faults in fluid-saturated porous rocks, Journal of Geochemical Exploration, 89, 470-473.
197. Zhao, C., Hobbs, B. E., Hornby, P., Ord, A. and Peng, S., 2006c. Numerical modelling of fluids mixing, heat transfer and non-equilibrium redox chemical reactions in fluid-saturated porous rocks, International Journal for Numerical Methods in Engineering, 66, 1061-1078. (Pubitemid 43773161)
198. Zhao, C., Hobbs, B. E., Ord, A., Hornby, P., Peng, S. and Liu, L., 2006d. Theoretical and numerical analyses of pore-fluid flow patterns around and within inclined large cracks and faults, Geophysical Journal International, 166, 970-988.
199. Zhao, C., Hobbs, B. E., Ord, A., Peng, S., Liu, L. and Mühlhaus, H. B., 2006e. Analytical solutions for pore-fluid flow focusing within inclined elliptical inclusions in pore-fluid-saturated porous rocks: Solutions derived in an elliptical coordinate system, Mathematical Geology, 38, 987-1010. (Pubitemid 46850928)
200. Zhao, C., Nishiyama, T. and Murakami, A., 2006 f. Numerical modelling of spontaneous crack generation in brittle materials using the particle simulation method, Engineering Computations, 23, 566-584. (Pubitemid 44035693)
201. Zhao, C., Hobbs, B. E., Ord, A., Hornby, P., Peng, S. and Liu, L., 2007a. Mineral precipitation associated with vertical fault zones: The interaction of solute advection, diffusion and chemical kinetics, Geofluids, 7, 3-18. (Pubitemid 46189237)
202. Zhao, C., Hobbs, B. E., Ord, A., Hornby, P., Peng, S. and Liu, L., 2007b. Particle simulation of spontaneous crack generation problems in large-scale quasi-static systems, International Journal for Numerical Methods in Engineering, 69, 2302-2329. (Pubitemid 46403739)
203. Zhao, C., Hobbs, B. E., Ord, A., Peng, S. and Liu, L., 2007c. An upscale theory of particle simulation for two-dimensional quasi-static problems, International Journal for Numerical Methods in Engineering, 72, 397-421. (Pubitemid 47611095)
204. Zhao, C., Hobbs, B. E., Ord, A., Robert, P. A., Hornby, P. and Peng, S., 2007d. Phenomenologi-cal modeling of crack generation in brittle crustal rocks using the particle simulation method, Journal of Structural Geology, 29, 1034-1048. (Pubitemid 46760796)
205. Zhao, C., Hobbs, B. E. and Ord, A., 2008a. Investigating dynamic mechanisms of geological phenomena using methodology of computational geosciences: an example of equal-distant mineralization in a fault, Science in China D-Series: Earth Sciences, 51, 947-954. (Pubitemid 351983038)
206. Zhao, C., Hobbs, B. E., Ord, A., Peng, S. and Liu, L., 2008b. Inversely-mapped analytical solutions for flow patterns around and within inclined elliptic inclusions in fluid-saturated rocks, Mathematical Geosciences, 40, 179-197.
207. Zhao, C., Hobbs, B. E., Ord, A., Hornby, P., Mühlhaus, H. B. and Peng, S., 2008c. Theoretical and numerical analyses of pore-fluid-flow focused heat transfer around geological faults and large cracks, Computers and Geotechnics, 35, 357-371. (Pubitemid 351597843)
208. Zhao, C., Hobbs, B. E., Ord, A., Hornby, P. and Peng, S., 2008d. Effect of reactive surface areas associated with different particle shapes on chemical-dissolution front instability in fluid-saturated porous rocks, Transport in Porous Media, 73, 75-94. (Pubitemid 351493928)
209. Zhao, C., Hobbs, B. E., Ord, A., Hornby, P. and Peng, S., 2008e. Morphological evolution of three-dimensional chemical dissolution front in fluid-saturated porous media: A numerical simulation approach, Geofluids, 8, 113-127.
210. Zhao, C., Hobbs, B. E., Hornby, P., Ord, A., Peng, S. and Liu, L., 2008 f. Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks, International Journal for Numerical and Analytical Methods in Geomechanics, 32, 1107-1130. (Pubitemid 351911519)
211. Zhao, C., Hobbs, B. E., Ord, A., Peng, S., 2008 g. Particle simulation of spontaneous crack generation associated with the laccolithic type of magma intrusion processes, International Journal for Numerical Methods in Engineering, 75, 1172-1193.
212. Zhao, P. H. and Heinrich, J. C., 2002. Approximation to the interface velocity in phase change front tracking, Communications in Numerical Methods in Engineering, 18, 77-88. (Pubitemid 34161895)
213. Zienkiewicz, O. C., 1977. The Finite Element Method, McGraw-Hill, London.
214. Zienkiewicz, O. C. and Zhu, J. Z., 1991. Adaptivity and mesh generation, Int. J. Num. Meth. Eng., 32, 783-810. (Pubitemid 21713593)
215. Zimmerman, R. W., 1996. Effective conductivity of a two-dimensional medium containing elliptical inhomogeneities, Proceedings of the Royal Society of London A, 452, 1713-1727. (Pubitemid 126766234)