Publications
154 results found
King PR, 1997, Physics Boosts Oil Production, Physics World, Vol: 10, Pages: 33-37
Makse HA, Havlin S, King PR, et al., 1997, Novel Pattern Formation in Granular Matter, Stochastic Dynamics, Editors: Schimansky-Geier, Poeschel, Heidelberg, Publisher: Springer, Pages: 319-333
Makse HA, Havlin S, King PR, et al., 1997, Spontaneous Stratification in Granular Mixtures, Nature, Vol: 386, Pages: 379-382
Makse HA, Havlin S, Ivanov PC, et al., 1996, Pattern formation in sedimentary rocks: Connectivity, permeability, and spatial correlations, International Conference on Pattern Formation, Fractals and Statistical Mechanics, Publisher: ELSEVIER SCIENCE BV, Pages: 587-605, ISSN: 0378-4371
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- Citations: 19
Makse HA, Davies GW, Havlin S, et al., 1996, Long-range correlations in permeability fluctuations in porous rock, PHYSICAL REVIEW E, Vol: 54, Pages: 3129-3134, ISSN: 1063-651X
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- Citations: 29
King PR, 1996, Upscaling permeability: Error analysis for renormalization, TRANSPORT IN POROUS MEDIA, Vol: 23, Pages: 337-354, ISSN: 0169-3913
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- Citations: 31
Makse HA, Davies GW, Havlin S, et al., 1996, Long-range correlations in permeability fluctuations in porous rock, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol: 54, Pages: 3129-3134, ISSN: 1063-651X
Porous media, such as sedimentary rocks, have complex permeability fluctuations arising from the physical processes that formed them. These permeability fluctuations significantly affect the flow of fluids through the rocks. We analyze data on two sandstone samples from different environments, and find that the permeability fluctuations display long-range power-law correlations characterized by an exponent H> 1/2. For both samples, we find similar values of H, H≈0.82-0.90, suggesting that the permeability in porous sandstone is not spatially uncorrelated as is generally assumed.
Harding AJ, Radcliffe NJ, King PR, 1996, Optimisation of Production Strategies using Stochastic Search Methods, 5th European Conference on the Mathematics of Oil Recovery, Leoben, Austria
Makse HA, Havlin S, King PR, et al., 1996, Influence of Spatial Correlations on Permeability and Connectivity of Sandstone, Proceeding Symposium of Materials Research Society, Materials Research Society, Pittsburgh, Pages: 57-62
King PR, 1996, Upscaling permeability: Mathematics of renormalization, Transport in Porous Media, Vol: 23, Pages: 337-354
Makse HA, Havlin S, Ivanov PC, et al., 1996, Quantitative Characterization of Permeability Fluctuations in Sandstone, Physical Review E, Vol: 54, Pages: 3129-3134
King PR, 1996, Oil Companies Make Money with Statistical Physics, Physics World, Vol: 9, Pages: 17-18
Makse HA, Davies GW, Havlin S, et al., 1996, Long range correlations in sandstone permeability, Physical Review E, Vol: 54, Pages: 3129-3134
King MJ, King PR, McGill CA, et al., 1995, Effective properties for flow calculations, Transport in Porous Media, Vol: 20, Pages: 169-196
KING PR, WILLIAMS JK, 1994, UPSCALING PERMEABILITY - MATHEMATICS OF RENORMALIZATION, 4th European Conference on the Mathematics of Oil Recovery (ECMOR IV), Publisher: ICMOR IV, Pages: 1-17
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- Citations: 3
KING PR, 1994, RESCALING OF FLOW PARAMETERS USING RENORMALIZATION, 3rd North Sea Oil and Gas Reservoirs Conference, Publisher: KLUWER ACADEMIC PUBL, Pages: 265-271
KING PR, MUGGERIDGE AH, PRICE WG, 1993, RENORMALIZATION CALCULATIONS OF IMMISCIBLE FLOW, TRANSPORT IN POROUS MEDIA, Vol: 12, Pages: 237-260, ISSN: 0169-3913
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- Citations: 68
Bryant SL, King PR, Mellor DW, 1993, Network model evaluation of permeability and spatial correlation in a real random sphere packing, Transport in Porous Media, Vol: 11, Pages: 53-70
King PR, Muggeridge AH, Price WG, 1993, Renormalization calculations of immiscible flow, Transport in Porous Media, Vol: 12, Pages: 237-260
BLUNT M, KING P, 1991, RELATIVE PERMEABILITIES FROM 2-DIMENSIONAL AND 3-DIMENSIONAL PORE-SCALE NETWORK MODELING, TRANSPORT IN POROUS MEDIA, Vol: 6, Pages: 407-433, ISSN: 0169-3913
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- Citations: 216
Blunt MJ, King PR, 1991, Relative permeabilities from pore scale network modelling, Transport in Porous Media, Vol: 6, Pages: 407-433
KING PR, 1990, THE CONNECTIVITY AND CONDUCTIVITY OF OVERLAPPING SAND BODIES, NORTH SEA OIL AND GAS RESERVOIRS - II, Pages: 353-+
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- Citations: 27
Blunt MJ, King PR, 1990, Macroscopic parameters from simulations of pore scale flow, Physical Review A, Vol: 42, Pages: 4780-4787
King PR, 1989, The use of renormalization for calculating effective permeability, Transport in Porous Media, Vol: 4, Pages: 37-58
Blunt MJ, King PR, 1988, The scaling structure of viscous fingering, Physical Review A, Vol: 37, Pages: 3935-3941
Edwards SF, King PR, 1988, Mathematics in Oil Production, Oxford, Publisher: Oxford University Press
King PR, Smith PJ, 1988, Generation of correlated properties in heterogeneous porous media, Mathematical Geology, Vol: 20, Pages: 863-877
Goldsmith IR, King P, 1987, Hydrodynamic modelling of cementation patterns in modern reefs, Geological Society Special Publication, Vol: 36, Pages: 1-13, ISSN: 0305-8719
Cementation patterns in modern reefs are inhomogeneous, even on the thin section scale. The concept of the microenvironment has been developed in order to explain this irregularity, this microenvironment being determined by both chemistry and permeability. Identification of the rate limiting step in carbonate cement growth has led to the suggestion that cementation patterns are controlled principally by the microenvironmental permeability. In order to test this hypothesis, modelling of the permeability characteristics of biogenic frameworks has been attempted. Representative matrix geometries were created mathematically and Poiseuille flow through these has produced cementation patterns similar to those observed in thin section. Visual comparison of the features of the real system and model results indicates that the conceptual model is realistic and permeability may indeed be the major control on cementation. In the future, modelling of the matrix geometry will be controlled using the measured pore throat radius distribution of the rock. At that stage the model will be applicable not only to the prediction of cementation patterns but to many other problems involving fluid flow through porous media. © 1987 The Geological Society.
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