Scaling laws for network model permeability: Application to wellbore oil flow simulation with solid deposition

Chemical Engineering Science

Volumn 58, Issue 9, 2003, Pages 1815-1829

  Monteagudo, Jorge E P ^a   Silva, Luiz F L R ^a   Lage, Paulo L C ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Formation damage; Network model; Percolation theory; Reservoir simulation; Scaling laws

Indexed keywords

ALGORITHMS; BOREHOLES; COMPUTER SIMULATION; DEPOSITION; MATHEMATICAL MODELS;

SOLID DEPOSITION;

MECHANICAL PERMEABILITY;

FLUID FLOW; MODELING; OIL; PERMEABILITY; RESERVOIR; WELL TECHNOLOGY;

EID: 0038743419     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(03)00017-4     Document Type: Article

References (48)

1. Abrams A. Mud design to minimize rock impairment due to particle invasion Journal of Petroleum Technology 29 5 1977 586 592
2. Barkman J.H. Davidson D.H. Measuring water quality and predicting well impairment Journal of Petroleum Technology 24 7 1972 865 873
3. Dongarra, J., Lumsdaine, A., Pozo, R., - Remington, K. (1994). A sparse matrix library in C++ for high performance architectures. Proceedings of the second object oriented numerics conference (pp. 214-218). (http://math.nist.gov/sparselib++)
4. Dongarra J. Lumsdaine A. Pozo R. Remington K. 1.2 iterative methods library-reference guide. National Institute of Standards and Technology (http://math.nist.gov/iml++.
5. Eleri, O. O., Ursin, J., - Rogaland, U. (1992). Physical aspects of formation damage in linear flooding experiments. SPE 23784. In SPE international symposium on formation damage control (pp. 179-193). Louisiana.
6. Gruesbeck C. Collins R.E. Entrainment and deposition of fine particles in porous media SPE Journal 22 6 1982 847 856
7. Hoshen J. Kopelman R. Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm Physical Review B 14 8 1976 3438 3445
8. Imdakm A.O. Sahimi M. Computer simulation of particle transport processes in flow through porous media Chemical Engineering Science 46 8 1991 1977 1993
9. Kamath, V. A., Yang, J., - Sharma, G. D. (1993). Effect of asphaltene deposition on dynamic displacement of oil by water. In SPE western regional meeting anchorage (pp. 179-187). Alaska, USA.
10. Khatib, Z. I. (1994). Prediction of formation damage due to suspended solids: Modeling approach of filter cake buildup in injectors. SPE 28488. In Proceedings of the 59th annual technical conference and exhibition held in New Orleans (pp. 263-273). Los Angeles, USA.
11. ppel, O. (1993). PROFIL, Programmer's Runtime Optimized Fast Interval Library, Technische Universitat Hamburg. http://www.ti3.tu-harburg.de/Software/PROFILEnglisch.html. accessed on 08/09/2002
12. Kornhauser I. Rojas F. Faccio R.J. Riccardo J.L. Vidales A.M. Zgrablich G. Structure characterization of disordered porous media-a memorial review dedicated to Vicente Mayagoitia Fractals 5 3 1997 355 377
13. Leontaritis, K. J. (1989). Asphaltene deposition: A comprehensive description of problem manifestations and modeling approach. In SPE production operations symposium (p. 599). Oklahoma City, USA.
14. Leontaritis, K. J., - Amaefule, J. O. (1997). Asphaltene Near-wellbore formation damage modeling. Personal communication.
15. pez R.H. Vidales A.M. Zgrablich G. Correlated site-bond ensembles: Statistical equilibrium and finite size effects Langmuir 16 2000 3441-3445
16. Makse H.A. Havlin S. Ivanov P.Ch. King P.R. Prakash S. Stanley H.E. Pattern formation in sedimentary rocks: Connectivity, permeability and spatial correlations Physica A 233 1996 587 605
17. Matsumoto, M., - Nishimura, T. (1998). Mersenne twister: A 623 -dimensionally equidistributed uniform pseudorandom number generator. ACM Transaction Modeling and Computer Simulation, 8, 3-30 http://www.math.keio.ac.jp/~matumoto/emt.html
18. Matthews G.P. Moss A.K. Ridgway C.J. The effects of correlated networks on mercury intrusion simulation and permeabilities of sandstone and other porous media Powder Technology 83 1995 61 77
19. Matthews G.P. Moss A.K. Spearing M.C. Voland F. Network calculation of mercury intrusion and absolute permeability in sandstone and other porous media Powder Technology 76 1993 95 107
20. Mayagoitia V. Rojas F. Kornhauser I. Pore network interactions in ascending processes relative to capillary condensation Journal of the Chemical Society Faraday Transactions I 81 1985 2931 2940
21. rez-Aguilar H. Modeling of porous media and surface structures: Their true essence as networks Langmuir 13 1997 1327 1331
22. Meakin P. Fractals, scaling and growth far from equilibriume 1st ed. 1998 Cambridge University Press Cambridge, UK
23. Minssieux L. Nabzar L. Chauveteau G. Bensalem R. Permeability damage due to asphaltene deposition: Experimental and modeling aspects Revue de l'Institute Français du Pétrole 53(3), 313-327.
24. Monteagudo J.E.P. Lage P.L.C. Rajagopal K. Towards a polydisperse molecular thermodynamic model for asphaltene precipitation in live oil Fluid Phase Equilibria 187-188 2001 443 471
25. Monteagudo J.E.P. Rajagopal K. Lage P.L.C. Scaling laws in network models: Porous medium property prediction during morphological evolution Journal of Petroleum Science - Engineering 32 2-4 2001 179 190
26. Monteagudo J.E.P. Rajagopal K. Lage P.L.C. Simulating oil flow in porous medium under asphaltene deposition Chemical Engineering Science 57 3 2002 323 337
27. Nghiem, L.X., Coombe, D. A., - Ali, S. M. F. (1998). Compositional simulation of asphaltene deposition and plugging. In SPE annual technical conference and exhibition (p. 129). New Orleans, LA, USA.
28. Oort E.V. Impairment by suspended solids invasion: Testing and prediction SPE Production - Facilities 1 1 1993 178 184
29. Paterson, L., Lee, J. Y., - Pinczewski, W. V. (1997). Three-phase relative permeability in heterogeneous formations. In SPE annual technical conference and exhibition (pp. 397-403). San Antonio, TX, USA.
30. Paterson L. Painter S. Knackstedt M.A. Pinczewski W.V. Patterns of fluid in naturally heterogeneous rocks Physica A 233 1996 619 628
31. . 1.5-sparse matrix class library-reference guide. National Institute of Standards and Technology (http://math.nist.gov/sparselib++.
32. Qin X. Wang P. Sepehrnoori K. Pope G.A. Modeling asphaltene precipitation in reservoir simulation Industrial Engineering and Chemical Research 39 2000 2644 2654
33. Riccardo J.L. Steele W.A. Cuesta A.J.R. Zgrablich G. Pure Monte Carlo simulation of model heterogeneous substrates: From random surfaces to many-site correlations Langmuir 13 1997 1064 1072
34. Saad Y. Schultz M.H. GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems SIAM Journal on Scientific and Statistical Computing 7 3 1986 856-869
35. Sahimi M. Flow phenomena in rocks: From continuum models to fractals, percolation, cellular automata, and simulated annealing Reviews of Modern Physics 65 4 1993 1393-1534
36. Sahimi M. Applications of percolation theory 1st ed. 1994 Taylor - Francis London
37. Sahimi M. Long-range correlated percolation and flow and transport in heterogeneous porous media Journal of Physique 4 9 1994 1263 1268
38. Sahimi M. Flow and transport in porous media and fractured rock. From classical methods to modern approaches 1st ed. 1995 VCH Weinheim
39. Sahimi M. Effect of long-range correlations on transport phenomena in disordered media AIChE Journal 41 2 1995 229 240
40. Sahimi M. Imdakm A.O. Hydrodynamics of particulate motion in porous media Physical Review Letters 66 9 1991 1169 1172
41. Sahimi M. Knackstedt M.A. No viscous fingering in heterogeneous porous media Journal of Physics I France 4 9 1994 1269 1274
42. Sahimi M. Mehrabi A.R. Mirzaee N. Rassamdana H. The effect of asphalt precipitation on flow behavior and production of a fractured carbonate oil reservoir during gas injection Transport in Porous Medium 41 2000 325 347
43. Sahimi M. Mukhopadhyay S. Scaling properties of a percolation model with long-range correlations Physical Review E 54 4 1996 3870 3880
44. Stanley H.E. Fractals and multifractals: The interplay of physics and geometry Bunde A. Havlin S. Fractals and disordered systems 1996 Springer New York
45. Stauffer D. Aharony A. Introduction to percolation theory 2nd. ed. 1992 Taylor - Francis London
46. van der Vorst H.A. Bi-CGSTAB: A fast and smoothly convergent variant of Bi-CG for the solution of nonsymmetric linear systems SIAM Journal of Science and Statistical Computing 13 2 1992 631 644
47. Wagner, R. (2002). Mersenne twister random number generator, http://www-personal.engin.umich.edu/~wagnerr/MersenneTwister.html accessed on 08/09/2002
48. Wang, S., - Civan, F. (2001). Productivity decline of vertical and horizontal wells by asphaltene deposition in petroleum reservoirs. In SPE international symposium on oilfield chemistry (pp. 1-16). Houston, TX, USA.