Geological Modelling and Reservoir Simulation

Mathematics in Industry

Volumn 7, Issue , 2005, Pages 119-212

  Farmer, Chris L ^a,b  

^a Abingdon Business Park   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Geological Modelling; Grid Generation; History Match; Radial Basis Function; Reservoir Simulation

Indexed keywords

EID: 85133285265     PISSN: 16123956     EISSN: 21983283     Source Type: Book Series    
DOI: 10.1007/3-540-26493-0_6     Document Type: Chapter

References (164)

1. B. Agarwal and M. J. Blunt (2003) Streamline-based method with full-physics forward simulation for history-matching performance data of a North Sea field. SPE Journal 8:, 171–180.
2. R. Agut, M.G. Edwards, S. Verma, and K. Aziz (1998) Flexible streamline-potential grids with discretization on highly distorted cells. Proceedings of the 6th European Conference on the Mathematics of Oil Recovery (ECMOR VI). Peebles, Edinburgh, Scotland, 8-11 September, 1998.
3. H.N. Al-Sadi (1982) Seismic Exploration. Birkhäuser, Basel.
4. J.R.L. Allen (1982) Sedimentary Structures: Their Character and Physical Basis, v1–2. Elsevier, Amsterdam.
5. P.A. Allen and J.R. Allen (1990) Basin Analysis-Principles and Applications. Blackwell, Oxford.
6. A.A. Amsden and C.W. Hirt (1973) A simple scheme for generating general curvilinear grids. J. Comput. Phys. 11, 348–359.
7. B. Anderson, V. Druskin, et al. (1997) New dimensions in modeling resistivity. Oilfield Review 9, 40–56.
8. J.R. Appleyard and I.M. Cheshire (1983) Nested factorization. SPE 12264. Proceedings of the 7th SPE Symposium on Reservoir Simulation, San Francisco, 1983.
9. J.S. Archer and C.G. Wall (1986) Petroleum Engineering: Principles and Practice. Graham and Trotman, London.
10. E. Arge and A. Kunoth (1998) An efficient ADI-solver for scattered data problems with global smoothing. J. Comput. Phys. 139, 343–358.
11. K. Aziz and A. Settari (1979) Petroleum Reservoir Simulation. Applied Science Publishers, London.
12. M. Bacon, R. Simm, and T. Redshaw (2003) 3-D Seismic Interpretation. Cambridge University Press, Cambridge.
13. M.J. Baines (1994) Moving Finite Elements. Oxford University Press.
14. G.I. Barenblatt, I.P. Zheltov, and I.N. Kochina (1960) Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata). J. Appl. Math. Mech. 24, 1286–1303.
15. J.W. Barker, M. Cuypers, and L. Holden (2001) Quantifying uncertainty in production forecasts: Another look at the PUNQ-S3 problem. SPE Journal 6, 433–441.
16. J. Bear (1988) Dynamics of Fluids in Porous Media. Dover Publications Incorporated, New York.
17. S. Begg, R. Bratvold, and J. Campbell (2002) The value of flexibility in managing uncertainty in oil and gas investments. SPE 77586. Proceedings of the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 2002.
18. M.J. Beran (1968) Statistical Continuum Theories. Interscience Publishers, New York.
19. J.J. Binney, N.J. Dowrick, A.J. Fisher, and M.E.J. Newman (1992) The Theory of Critical Phenomena. Oxford University Press, Oxford.
20. R. Bissell, Y. Sharma, and J.E. Killough (1994) History matching using the method of gradients: Two case studies. SPE 28590. Proceedings of the 69th SPE Annual Technical Conference and Exhibition, 1994, 275–289.
21. N. Bleistein, J.K. Cohen, and J.W. Stockwell (2001) Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion. Springer, New York.
22. S. Boggs (1995) Principles of Sedimentology and Stratigraphy. Prentice Hall, Englewood Cliffs, New Jersey.
23. A. Bourgeat and M. Panfilov (1998) Effective two-phase flow through highly heterogeneous porous media: capillary nonequilibrium effects. Computational Geosciences 2, 191–215.
24. J.P. Boyd (2001) Chebyshev and Fourier Spectral Methods. 2nd edition, Dover Publications Inc., Mineola, New York.
25. J.U. Brackbill and J.S. Saltzman (1982) Adaptive zoning for singular problems in two dimensions. J. Comput. Phys. 46, 342–368.
26. F. Bratvedt, K. Bratvedt, C. Buchholz, H. Holden, L. Holden, and N.H. Rise-bro (1989) A new front-tracking method for reservoir simulation. SPE 19805. Proceedings of the 64th SPE Annual Technical Conference and Exhibition, San Antonio, 1989.
27. I.C. Briggs (1974) Machine contouring using minimum curvature. Geophysics 39, 39–48.
28. S.E. Buckley and M.C. Leverett (1942) Mechanism of fluid displacement in sands. Trans. of the A.I.M.E. 146, 107.
29. M.D. Buhmann (2000) Radial basis functions. Acta Numerica 9, 1–38.
30. J. Caers, S. Krishnan, Y. Wang, and A.R. Kovscek (2002) A geostatistical approach to streamline-based history matching. SPE Journal 7, 250–266.
31. J. Carr, W.R. Fright, and R.K. Beatson (1997) Surface interpolation with radial basis functions for medical imaging. IEEE Transactions on Medical Imaging 16, 96–107.
32. J.E. Castillo (1991) Discrete variational grid generation. Mathematical Aspects of Numerical Grid Generation, J.E. Castillo (ed.), SIAM, Philadelphia, 33–58.
33. J.E. Castillo, ed. (1991) Mathematical Aspects of Numerical Grid Generation. SIAM, Philadelphia.
34. J.-P. Chilés and P. Delfiner (1999) Geostatistics: Modeling Spatial Uncertainty. John Wiley, New York.
35. B. Choudhuri and S.K. Khataniar (1997) Characterisation of a complex high permeability reservoir through transient analysis: A case study of the lower Eocene reservoirs of Upper Assam basin, India. Paper no. 145. Proceedings of the National Seminar on Reservoir Management and Exhibition, Baroda, India, Oct. 6–7, 1997.
36. J.A. Coffeen (1990) Seismic on Screen. Pennwell Books, Tulsa.
37. R.E. Collins (1961) Flow of Fluids through Porous Materials. Reinhold Publishing Corporation, New York.
38. P.S. Craig, M. Goldstein, A.H. Seheult, and J.A. Smith (1997) Pressure matching for hydrocarbon reservoirs: a case study in the use of Bayes linear strategies for large computer experiments. Case Studies in Bayesian Statistics III, Springer, New York.
39. R. Daley (1991) Atmospheric Data Analysis. Cambridge University Press, Cambridge.
40. A. Datta-Gupta, K.N. Kulkarni, S. Yoon, and D.W. Vasco (2001) Streamlines, ray tracing and production tomography: generalization to compressible flow. Petroleum Geoscience 7, S75–S86.
41. A. Datta-Gupta, L.W. Lake, and G.A. Pope (1995) Characterizing heterogeneous permeable media with spatial statistics and tracer data using sequential simulated annealing. Mathematical Geology 27, 763–787.
42. C.V. Deutsch and A.G. Journel (1992) GSLIB: Geostatistical Software Library and User’s Guide. Oxford University Press, New York.
43. P.A. Dickey (1986) Petroleum Development Geology. PennWell Publishing Company, Tulsa.
44. J. Douglas, Jr., M. Kischinhevsky, P.J. Paes-Leme, and A. Spagnuolo (1998) A multiple-porosity model for a single-phase flow through naturally-fractured porous media. Computational and Applied Mathematics 17, 19–48.
45. J.H. Doveton (1986) Log Analysis of Subsurface Geology: Concepts and Computer Methods. John Wiley Sons, New York.
46. O. Dubrule and E. Damsleth (2001) Achievements and challenges in petroleum geostatistics. Petroleum Geoscience 7, S1–S7.
47. L.J. Durlofsky, R.C. Jones, and W.J. Milliken (1994) A new method for the scale up of displacement processes in heterogeneous reservoirs. Proceedings of the 4th European Conference on the Mathematics of Oil Recovery, Røros, Norway, 1994.
48. Encyclopædia Britannica (2003): http://www.britannica.com/.
49. H.W. Engl, M. Hanke, and A. Neubauer (1996) Regularization of Inverse Problems. Kluwer, Dordrecht, 1996.
50. R. Ewing, ed. (1983) The Mathematics of Reservoir Simulation. SIAM, Philadelphia.
51. S.W. Fagin, ed. (1991) Seismic Modeling of Geologic Structures:Applications to Exploration Problems. Society of Exploration Geophysicists, Tulsa.
52. J.R. Fanchi (2002) Shared Earth Modeling. Butterworth-Heinemann, Amsterdam.
53. C.L. Farmer (1985) A moving point method for arbitrary Peclet number multidimensional convection-diffusion equations. IMA Journal of Numerical Analysis 5, 465–480.
54. C.L. Farmer (1987) Moving point methods. Advances in Transport Phenomena in Porous Media, J. Bear and M.Y. Corapcioglu (eds.), NATO ASI Series E: Applied Sciences no. 128, Martinus Nijhoff, Dordrecht, 953–1004.
55. C.L. Farmer (1988) The generation of stochastic fields of reservoir parameters with specified geostatistical distributions. Proceedings of the 1987 IMA Conference on Mathematics in Oil Production, Sir Sam Edwards and P.R. King (eds.), Oxford University Press, Oxford, 235–252.
56. C.L. Farmer (1992) Numerical rocks. Mathematics of Oil Recovery, P.R. King (ed.), Oxford University Press, Oxford, 437–447.
57. C.L. Farmer (1998) An application of triangulations to the building of structured grids. Proceedings of the 6th European Conference on the Mathematics of Oil Recovery (ECMOR VI). Peebles, Edinburgh, Scotland, 8-11 September, 1998.
58. C.L. Farmer (2002) Upscaling: a review. International Journal for Numerical Methods in Fluids 40, 63–78.
59. C.L. Farmer and D.E. Heath (1990) Curvilinear grid generation techniques. Proceedings of the 2nd European Conference on the Mathematics of Oil Recovery (ECMOR II). Arles, France, 11-14 September, 1990.
60. C.L. Farmer, D.E. Heath, and R.O. Moody (1991) A global optimisation approach to grid generation. SPE 21236. Proceedings of the 11th SPE Symposium on Reservoir Simulation, Anaheim, USA, 1991.
61. M.S. Floater and A. Iske (1996) Multistep scattered data interpolation using compactly supported radial basis functions. Journal of Computational and Applied Mathematics 73, 65–78.
62. F.J.T. Floris, M.D. Bush, M. Cuypers, F. Roggero, and A.-R. Syversveen (2001) Methods for quantifying the uncertainty of production forecasts: a comparative study. Petroleum Geoscience 7, S87–S96.
63. R. Franke (1982) Scattered data interpolation: tests of some methods. Math. Comp. 38, 181–199.
64. N.P. Fremming (2002) 3D geological model construction using a 3D grid. Paper E01. Proceedings of the 8th European Conference on the Mathematics of Oil Recovery (ECMOR8), Freiberg, Germany, 3-6 September, 2002.
65. U. Frisch (1995) Turbulence. Cambridge University Press, Cambridge.
66. C.W. Gable, H.E. Trease, and T.A. Cherry (1996) Geological applications of automatic grid generation tools for finite elements applied to porous flow modeling. Numerical Grid Generation in Computational Fluid Dynamics and Related Fields, B.K. Soni, J.F. Thompson, H. Hauser, and P.R. Eiseman (eds.), Engineering Research Centre, Mississippi State University Press.
67. D. Gamerman (1997) Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference. Chapman and Hall, London.
68. M.H. Garcia, A.G. Journel, and K. Aziz (1992) Automatic grid generation for modeling reservoir heterogeneities. SPE Reservoir Engineering, May 1992, 278–284.
69. A.O. Garder, D.W. Peaceman, and A.L. Pozzi (1964) Numerical calculation of multidimensional miscible displacement by the method of characteristics. Society of Petroleum Engineers Journal 4, 26–36.
70. G.R. Gavalas, P.C. Shah, and J.H. Seinfeld (1976) Reservoir history matching by Bayesian estimation. Society of Petroleum Engineers Journal 16, 337–350.
71. S. Geman and D. Geman (1984) Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 721–741.
72. J. Gluyas and R. Swarbrick (2004) Petroleum Geoscience. Blackwell Publishing, Oxford.
73. N. Goldenfeld (1992) Lectures on Phase Transitions and the Renormalization Group. Perseus Books, Reading, Massachusetts.
74. W.H. Goldthorpe and Y.S. Chow (1985) Unconventional modeling of faulted reservoirs: A case study. SPE 13526. Proceedings of the SPE Reservoir Simulation Symposium, Dallas, 1985.
75. D. Gottlieb and S.A. Orszag (1977) Numerical Analysis of Spectral Methods. SIAM, Philadelphia.
76. R.H. Groshong Jr. (1999) 3D Structural Geology: A Practical Guide to Surface and Subsurface Map Interpretation. Springer-Verlag, Berlin.
77. D. Gunasekera, J. Herring, and J. Cox (1998) Segmented coordinate line based unstructured gridding. Proceedings of the 6th European Conference on the Mathematics of Oil Recovery (ECMOR VI). Peebles, Edinburgh, Scotland, 8-11 September, 1998.
78. T. Gutzmer and A. Iske (1997) Detection of discontinuities in scattered data approximation. Numerical Algorithms 16, 155–170.
79. R.L. Hardy (1971) Multiquadric equations of topography and other irregular surfaces. J. Geophys. Res. 76, 1905–1915.
80. Z. He, S. Yoon, and A. Datta-Gupta (2002) Streamline-based production data integration with gravity and changing field conditions. SPE Journal 7, 423– 436.
81. D. A. Herron (2000) Horizon autopicking. J. Geophys. Res. 19, 491–492.
82. R.V. Higgins and A.J. Leighton (1962) A computer method to calculate two-phase flow in any irregularly bounded porous medium. J. Pet. Technology, June 1962, 679–683.
83. G.J. Hirasaki and P.M. O’Dell (1970) Representation of reservoir geometry for numerical simulation. Soc. Pet. Eng. J., December 1970, 393–404.
84. K.S. Hoffman and J.W. Neave (1996) Horizon modeling using a three-dimensional fault restoration technique. SPE 56445. Proceedings of the SPE Annual Technical Conference and Exhibition, Houston, Texas, 1996.
85. M.E. Hohn (1988) Geostatistics and Petroleum Geology. Van Nostrand Reinhold, New York.
86. G.M. Homsy (1987) Viscous fingering in porous media. Annual Review of Fluid Mechanics 19, 271–311.
87. P.J. Hore (1995) Nuclear Magnetic Resonance. Oxford University Press, Oxford.
88. U. Hornung, ed. (1997) Homogenization and Porous Media. Springer, Berlin.
89. F.G. Horowitz, P. Hornby, D. Bone, and M. Craig (1996) Fast multidimensional interpolations. 26th Proceedings of the Application of Computers and Operations Research in the Mineral Industry (APCOM26), R.V. Ramani (ed.), Soc. Mining, Metall., and Explor. (SME), Littelton, Colorado, USA, 53–56.
90. J. Hoschek and D. Lasser (1993) Fundamentals of Computer Aided Geometric Design. A.K. Peters, Wellesley, Massachusetts.
91. T. Hou and X.H. Wu (1997) A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys. 134, 169–189.
92. A. Iske (2002) Scattered data modelling using radial basis functions. Tutorials on Multiresolution in Geometric Modelling, A. Iske, E. Quak, and M.S. Floater (eds.), Springer, Heidelberg, 205–242.
93. T. Jacobsen, H. Agustsson, J. Alvestad, P. Digranes, I. Kaas, and S.T. Opdal (2000) Modelling and identification of remaining reserves in the Gullfaks field. SPE 65412. Proceedings of the SPE European Petroleum Conference, Paris, 2000.
94. P. Jenny, S.H. Lee, and H.A. Tchelepi (2003) Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. J. Comput. Phys. 187, 47– 67.
95. T.A. Jones, D.E. Hamilton, and C.R. Johnson (1986) Contouring Geologic Surfaces with the Computer. Van Nostrand Reinhold, New York.
96. A.G. Journel (1989) Fundamentals of Geostatistics in Five Lessons. American Geophysical Union, Washington, USA.
97. A.G. Journel and F.G. Alabert (1989) Non-Gaussian data expansion in the Earth sciences. Terra Nova. 1, 123–134.
98. P. Kaufman and P. Fjerstad (2002) Explicit simulation of conductive faults. Paper E64. Proceedings of the 8th European Conference on the Mathematics of Oil Recovery (ECMOR8), Freiberg, Germany, 3-6 September, 2002.
99. M.C. Kennedy and A. O’Hagan (2000) Predicting the output from a complex computer code when fast approximations are available. Biometrika 87, 1–13.
100. M.C. Kennedy, A. O’Hagan, and N. Higgins (2002) Bayesian analysis of computer code outputs. Quantitative Methods in Current Environmental Issues, C.W. Anderson, V. Barnet, P.C. Chatwin, and A.H. El-Shaarawi (eds.), Springer, New York.
101. J.W. King, P.F. Naccache, O. Nichols, R.K. Pollard, D.K. Ponting, and J. Rae (1982) The use of non-neighbour connections in reservoir simulation. EUR 281. Proceedings of the European Petroleum Conference, London, October, 1982.
102. P. Knupp and S. Steinberg (1993) Fundamentals of Grid Generation. CRC Press, Boca Raton.
103. K.N. Kulkarni, A. Datta-Gupta, and D.W. Vasco (2001) A streamline approach for integrating transient pressure data into high-resolution reservoir models. SPE Journal 6, 273–282.
104. A. Kumar, C.L. Farmer, G.R. Jerauld, and D. Li (1997) Efficient upscaling from cores to simulation models. SPE 38744. Proceedings of the Annual Technical Conference and Exhibition, San Antonio, Texas, 1997.
105. A. Kumar and N.S. Kumar (1988) A new approach to grid generation based on local optimisation. Numerical Grid Generation in Computational Fluid Mechanics, S. Sengupta, J. Häuser, P.R. Eiseman, and J.F. Thompson (eds.), Pineridge Press, Mumbles, Swansea, 177–184.
106. N. Lambeth and R.A. Dawe (1987) Boundary and crossflow behaviour during displacement in nodal systems. SPE 16972. Proceedings of the 62nd Annual Technical Conference of the SPE, Dallas, 1987.
107. T.J. Lasseter (2002) A new approach for the efficient construction of 3D geological models for reservoir applications. Paper E03. Proceedings of the 8th European Conference on the Mathematics of Oil Recovery (ECMOR8), Freiberg, Germany, 3-6 September, 2002.
108. R.C. Laudon (1996) Principles of Petroleum Development Geology. Prentice Hall, Upper Saddle River, New Jersey.
109. D.C. Leslie (1973) Developments in the Theory of Turbulence. Clarendon Press, Oxford.
110. P.K. Link (1987) Basic Petroleum Geology. Oil and Gas Consultants International, Inc., Tulsa.
111. N. Liu and D.S. Oliver (2003) Evaluation of Monte Carlo methods for assessing uncertainty. SPE Journal 8, 188–195.
112. S.M. Luthi (2001) Geological Well Logs: Their Use in Reservoir Modeling. Springer, Berlin.
113. J.-L. Mallet (1989) Discrete smooth interpolation. ACM Transactions on Graphics 8(2), 121–144.
114. J.-L. Mallet (2002) Geomodeling. Oxford University Press, Oxford.
115. K.V. Mardia, J.T. Kent, and J.M. Bibby (1979) Multivariate Analysis. Academic Press, London.
116. D. McLaughlin and L.R. Townley (1996) A reassessment of the groundwater inverse problem. Water Resources Research 32, 1131–1161.
117. A.I. Mees, M.F. Jackson, and L.O. Chua (1992) Device modeling by radial basis functions. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications 39, 19–27.
118. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller (1953) Equations of state calculations by fast computing machine. Jour. Chem. Physics 21, 1087–1091.
119. W.J. Milliken, A.S. Emmanuel, and A. Chakravarty (2001) Applications of 3d streamline simulation to assist history matching. SPE Reservoir Evaluation and Engineering 4, 502–508.
120. J.-M. Morel and S. Solimini (1995) Variational Methods in Image Segmentation. Birkhauser, Boston.
121. M.E.J. Newman and G.T. Barkema (1999) Monte Carlo Methods in Statistical Physics. Oxford University Press, Oxford.
122. A. O’Hagan (1994) Kendall’s Advanced Theory of Statistics, Volume 2B, Bayesian Inference. Edward Arnold, London.
123. A. Okabe, B. Boots, K. Sugihara, and S.N. Chiu (2000) Spatial tessellations: Concepts and Applications of Voronoi Diagrams. J. Wiley and Sons. Ltd., Chichester.
124. D.S. Oliver, A.C. Reynolds, B. Zhuoxin, and Y. Abacioglu (2001) Integration of production data into reservoir models. Petroleum Geoscience 7, S65–S73.
125. H. Omre (2003) www.math.ntnu.no/∼omre/.
126. A. Ouenes, R.S. Doddi, Y. Lin, G. Cunningham, and N. Saad (1994) A new approach combining neural networks and simulated annealing for solving petroleum inverse problems. Proceedings of the 4th European Conference on the Mathematics of Oil Recovery, Røros, Norway, 1994.
127. M. Panfilov (2000) Macroscale Models of Flow Through Highly Heterogeneous Porous Media. Kluwer Academic.
128. D.W. Peaceman (1978) Fundamentals of Numerical Reservoir Simulation. Elsevier, Amsterdam.
129. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery (1992) Numerical Recipes in FORTRAN. The Art of Scientific Computing. Cambridge University Press, Cambridge.
130. H.H. Rachford (1966) Numerical calculation of immiscible displacement by a moving reference point method. Society of Petroleum Engineers Journal, June 1966, 87–101.
131. C.D. Rodgers (2000) Inverse Methods for Atmospheric Sounding: Theory and Practice. World Scientific, Singapore.
132. F. Roggero and L.Y. Hu (1998) Gradual deformation of continuous geostatistical models for history matching. SPE 49004. Proceedings of the SPE Annual Technical Conference and Exhibition, New Orleans, 1998.
133. N. Saad, C.T. Kalkomey, and A. Ouenes (1994) Optimal gridding of stochastic models for scale-up. Proceedings of the 4th European Conference on the Mathematics of Oil Recovery, Røros, Norway, 1994.
134. Y. Saad (1996) Iterative Methods for Sparse Linear Systems. RWS Publishing Company, Boston.
135. T M: A Simulation Grid Generation and Upscaling Software Application. User Guide, Schlumberger, Abingdon.
136. T M: A Simulation Grid Generation and Upscaling Software Application. User Guide, Schlumberger, Abingdon.
137. T M: A Simulation Grid Generation and Upscaling Software Application. User Guide, Schlumberger, Abingdon.
138. R.C. Selley (1998) Elements of Petroleum Geology. Academic Press, San Diego.
139. R.E. Sheriff and L.P. Geldart (1995) Exploration Seismology. Cambridge University Press, Cambridge.
140. Society of Petroleum Engineers (2003) http://www.spe.org/.
141. F. Sonier and P. Chaumet (1974) A fully implicit three-dimensional model in curvilinear coordinates. Society of Petroleum Engineers Journal, August 1974, 361–370.
142. A. Tarantola (1987) Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation. Elsevier, Amsterdam.
143. D. Tearpock and R. Bischke (2002) Applied Subsurface Geological Mapping. 2nd edition, Prentice Hall, New Jersey.
144. D.M. Tetzlaff and J.W. Harbaugh (1989) Simulating Clastic Sedimentation. Van Nostrand Reinhold, New York.
145. J.F. Thompson, B.K. Soni, and N.P. Weatherill (1999) Handbook of Grid Generation. CRC Press, Boca Raton.
146. J.F. Thompson and Z.U.A. Warsi (1982) Boundary-fitted coordinate systems for numerical solution of partial differential equations-a review. J. Comput. Phys. 47, 1–108.
147. J.F. Thompson, Z.U.A. Warsi, and C.W. Mastin (1974) Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies. J. Comput. Phys. 15, 299–319.
148. J.F. Thompson, Z.U.A. Warsi, and C.W. Mastin (1985) Numerical Grid Generation. North-Holland, New York.
149. J. Tittman (1986) Geophysical Well Logging. Academic Press, London.
150. U. Trottenberg, C.W. Oosterlee, and A. Schüller (2001) Multigrid. Academic Press, San Diego.
151. S. Twomey (1996) Introduction to the Mathematics of Inversion and Remote Sensing and Indirect Measurements. Dover Publications Incorporated, New York.
152. G. Vincent, B. Corre, and P. Thore (1998) Managing structural uncertainty in a mature field for optimal well placement. SPE 48953. Proceedings of the SPE Annual Technical Conference and Exhibition, New Orleans, 1998.
153. P.L.W. Vinsome (1976) Orthomin, an iterative method for sparse banded sets of simultaneous linear equations. SPE 5729. Proceedings of the 4th SPE Symposium on Reservoir Simulation, Los Angeles, 1976.
154. D.T. Vo, M.I. Sukerin, et al. (2000) Reservoir modelling assists operations to optimize field development: Serang field, East Kalimantan. SPE 59441. Proceedings of the SPE Asia Pacific Conference, Yokahama, 2000.
155. Y. Wang and A.R. Kovscek (2000) Streamline approach for history-matching production data. SPE Journal 5, 353–362.
156. S. Waryan, D.T. Vo, J. Stites, and M. Swanson (2001) Integrated 3D geological data into fluid flow model improves reservoir management plan: Serang field case study. SPE 68646. Proceedings of the SPE Asia Pacific Conference, Jakarta, 2001.
157. K.G. Wilson (1983) The renormalization group and critical phenomena. Reviews of Modern Physics 55, 583–600.
158. A. Winslow (1967) Numerical solution of the quasi-linear Poisson equation in a nonuniform triangle mesh. J. Comput. Phys. 2, 149–172.
159. A.M. Winslow (1981) Adaptive-mesh zoning by the equipotential method. Technical Report UCID-19062, Texas Institute for Computational and Applied Mathematics, Lawrence Livermore National Lab., USA, April 1981.
160. C. Wunsch (1996) The Ocean Circulation Inverse Problem. Cambridge University Press, Cambridge.
161. S. Yoon, A.H. Malallah, A. Datta-Gupta, D.W. Vasco, and R.A. Behrens (2001) A multiscale approach to production data integration using streamline models. SPE Journal 6, 182–199.
162. D. Zhang (2001) Stochastic Methods for Flow in Porous Media: Coping with Uncertainties. Academic Press, San Diego.
163. D.A. Zimmerman, G. de Marsily, et al. (1998) A comparison of seven geosta-tistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow. Water Resources Research 34, 1373– 1413.
164. J. Zinn-Justin (2001) Quantum Field Theory and Critical Phenomena. Oxford University Press, Oxford.