Publications
154 results found
Heffer K, King P, 2006, Spatial scaling of effective modulus and correlation of deformation near the critical point of fracturing, PURE AND APPLIED GEOPHYSICS, Vol: 163, Pages: 2223-2242, ISSN: 0033-4553
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- Citations: 8
Masihi M, King PR, Nurafza P, 2006, Effect of anisotropy on finite-size scaling in percolation theory, PHYSICAL REVIEW E, Vol: 74, ISSN: 1539-3755
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- Citations: 27
King PR, Masihi M, Nurafza PR, 2006, Facies connectivity modelling-analysis and field study, Society of Petroleum Engineers, 68th European Association of Geoscientists and Engineers Conference and Exhibition, incorporating SPE EUROPEC 2006, EAGE 2006: Opportunities in Mature Areas, Vol: 2, Pages: 979-991
A statistical approach is proposed and validated against a realistic field dataset to model connectivity of low to intermediate net-to-gross reservoirs. An object based technique is used to model the spatial distribution of aligned isotropic and anisotropic bodies. The connectivity of the model is estimated using percolation theory. First account is made to evaluate the effect of the aspect ratio of the facies. The outcome is two universal curves for the connectivity and its associated uncertainty which can be used to estimate the connectivity of all sorts of body sizes and aspect ratios very quickly. The approach is then reviewed for variable body sizes as well as a system with oriented bodies. An effective size based on the square root of the average area of bodies can be used to represent the distribution of body sizes. For systems with oriented bodies, a new aspect ratio is defined and the reduced percolation thresholds of the system are determined. The results show that with above changes the universal curves are still applicable for both orientated and variable size systems. Finally, a conventional facies modelling of a carbonate layered reservoir is used to be compared with the results of the proposed method. The comparisons were in good agreement It is found that the new method gave reliable and broad estimate of connectivity of the system in comparison with exact and uncertain results from modelling of real data, while the first one is so fast, the latter is so costly and time consuming. This framework can be further extended to evaluate recovery factor and sweep efficiency of a reservoir. The technique can also be used for preliminary evaluation of a reservoir as a quick method which offers fast estimates of important parameters of a reservoir based on its simple basic data. Copyright 2006, European Association of Geoscientists and Engineers.
Masihi M, King PR, Nurafza P, 2006, Connectivity prediction in fractured reservoirs with variable fracture size - Analysis and validation, Society of Petroleum Engineers, 68th European Association of Geoscientists and Engineers Conference and Exhibition, incorporating SPE EUROPEC 2006, EAGE 2006: Opportunities in Mature Areas, Vol: 4, Pages: 2339-2352
Uncertainty in geometrical properties of fractures affects all aspects of flow in fractured reservoirs. The connectivity of fractures, embedded in low permeable zones, can control fluid movement and influence field performance. This can be analyzed using percolation theory. This approach is used the hypothesis that the permeability can be split into either permeable or impermeable and assumes that the connectivity of permeability contrasts controls the flow. The analysis of the connectivity based on finite size scaling assumes that fractures all have the same sizes. However, natural fracture networks involve a relatively wide range of fracture lengths, modelled by either scale-limited laws (e.g. log normal) or power laws. In this paper we extend the applicability of the percolation approach to a system with a distribution of size. For scale-limited distributions, we use the hypothesis that the connectivity of fractures of variable size is identical to the connectivity of fractures of the same size whose length is given by an appropriate effective length. It is also necessary to define the percolation probability based on the excluded area arguments. We test this on fracture networks having a uniform, Gaussian, exponential and lognormal length distribution. In the case of the power law length distribution, however, the scaling parameters (e.g. correlation length exponent) have to be modified. We show how the scaling parameters vary as a function of the power law exponent. To validate the approach we used outcrop data of mineralized fractures (vein sets) exposed on the southern margin of the Bristol Channel Basin. We show that the predictions from the percolation approach are in good agreement with the results calculated from field data with the advantage that they can be obtained very quickly. As a result they may be used for practical engineering purposes and aid decision-making for real field problem. Copyright 2006, European Association of Geoscientists and Engine
Belayneh M, Masihi M, Matthai SK, et al., 2006, Prediction of vein connectivity using the percolation approach: model test with field data, Journal of Geophysics and Engineering, Vol: 3, Pages: 219-229, ISSN: 1742-2132
Belayneh M, Masihi M, Matthai SK, et al., 2006, Prediction of vein connectivity using the percolation approach: model test with field data, Journal of Geophysics and Engineering, Vol: 3, Pages: 219-229, ISSN: 1742-2132
Tavassoli Z, Carter JN, King PR, 2005, An analysis of history matching errors, COMPUTATIONAL GEOSCIENCES, Vol: 9, Pages: 99-123, ISSN: 1420-0597
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- Citations: 15
Masihi M, King PR, Nurafza PR, 2005, Fast estimation of performance parameters in fractured reservoirs using percolation theory, 67th European Association of Geoscientists and Engineers, EAGE Conference and Exhibition, incorporating SPE EUROPE2005 - Extended Abstracts, Vol: 67th European Association of Geoscientists and Engineers Conference and Exhibition 2005: The Challenge of Discovery. Incorporating SPE EUROPEC 2005, Pages: 1049-1060
Fractured reservoirs have heterogeneities on all length scales which affect all aspects of flow and make the reliable prediction of reservoir performance extremely difficult. The conventional approach to this is to build a number of possible reservoir models (with associated probabilities) then upscale them and run flow simulations. The problem with this approach is that it is computationally very expensive. An alternative approach derived from percolation theory to make a very rapid estimation of reservoir performance and its uncertainty using sandbodies as flow unit was introduced by King et.al 1-2. This approach is based on the permeability contrasts that control the flow and assumes that the permeability disorder can be approximated by either permeable or impermeable rock. The advantage is that by using some semi-analytical universal curves from percolation theory the effect of the complex geometry which influences the performance parameters can be easily estimated in a fraction of second on a spread sheet. This study extends the application of this approach to fractured reservoirs where we can assume that matrix is almost impermeable and fracture is highly permeable. The problem with this extension is that classic percolation can not be used due to spatial correlation of fractures. However for correlated systems, the basic methodology with some modifications, which in turn depend on the nature of correlation, can be applied. We develop a stochastic methodology based on the derived spatial correlation by Heffer et.al.3 to generate fracture network realizations. Then by using this spatially correlated model we use the same basic algorithm of percolation theory in 2 and 3D. Simulation results show the applicability of this approach to fractured reservoirs. Moreover we show how to include the effect of anisotropy in the universal curves in order to assess uncertainty in anisotropic reservoirs. Copyright 2005, Society of Petroleum Engineers.
Tavassoli Z, Carter JN, King PR, 2004, Errors in history matching, SPE JOURNAL, Vol: 9, Pages: 352-361, ISSN: 1086-055X
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- Citations: 53
Carter J, Ballester PJ, Tavassoli Z, et al., 2004, Our calibrated model has no predictive value: an example from the petroleum industry, 4th international conference on sensitivity analysis of model output (SAMO2004), Santa Fe, New Mexico, U.S.A., 8 - 11March 2004, Pages: 1-7
Neuweiler I, Attinger S, Kinzelbach W, et al., 2003, Large scale mixing for immiscible displacement in heterogeneous porous media, TRANSPORT IN POROUS MEDIA, Vol: 51, Pages: 287-314, ISSN: 0169-3913
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- Citations: 24
López E, Buldyrev SV, Dokholyan NV, et al., 2003, Postbreakthrough behavior in flow through porous media, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol: 67, ISSN: 1063-651X
The flow inside a two-dimensional (2D) bound percolation cluster for two different occupation probabilities and under two different pumping conditions was analyzed analytically and numerically. Measurements allowed to write the probability distributions in concise expressions.
López E, Buldyrev SV, Dokholyan NV, et al., 2003, Postbreakthrough behavior in flow through porous media -: art. no. 056314, PHYSICAL REVIEW E, Vol: 67, ISSN: 1539-3755
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- Citations: 17
King PR, Buldyrev SV, Dokholyan NV, et al., 2002, Using percolation theory to predict oil field performance, Meeting on Horizons in Complex Systems, Publisher: ELSEVIER SCIENCE BV, Pages: 103-108, ISSN: 0378-4371
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- Citations: 16
King PR, Buldyrev SV, Dokholyan NV, et al., 2002, Uncertainty in oil production predicted by percolation theory, 21st IUPAP International Conference on Statistical Physics, Publisher: ELSEVIER SCIENCE BV, Pages: 376-380, ISSN: 0378-4371
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- Citations: 15
King PR, Neuweiler I, 2002, Probability upscaling, COMPUTATIONAL GEOSCIENCES, Vol: 6, Pages: 101-114, ISSN: 1420-0597
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- Citations: 12
Neuweiler I, King PR, 2002, Coarse graining of the solute concentration probability distribution for advective transport in porous media, 14th International Conference on Computational Methods in Water Resources, Publisher: ELSEVIER SCIENCE BV, Pages: 1147-1154, ISSN: 0167-5648
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- Citations: 1
Andrade JS, Buldyrev SV, Dokholyan NV, et al., 2000, Flow between two sites on a percolation cluster, PHYSICAL REVIEW E, Vol: 62, Pages: 8270-8281, ISSN: 1539-3755
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- Citations: 58
Dokholyan NV, Buldyrev SV, Havlin S, et al., 1999, Distribution of shortest paths in percolation, International Conference on Percolation and Disordered Systems - Theory and Applications, Publisher: ELSEVIER SCIENCE BV, Pages: 55-61, ISSN: 0378-4371
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- Citations: 19
Paul G, Buldyrev SV, Dokholyan N V, et al., 1999, Dependence of Conductance on Percolation Backbone Mass, Physical Review E
Dokholyan N V, Buldyrev SV, Havlin S, et al., 1999, Distribution of Shortest Paths in Percolation, Physica A, Vol: 266, Pages: 53-59
King PR, Andrade JS, Buldyrev SV, et al., 1999, Predicting Oil Recovery using Percolation, Physica A, Vol: 266, Pages: 107-114
King PR, Buldyrev SV, Dokholyan N V, et al., 1999, Applications of Statistical Physics to the Oil Industry: Predicting Oil Recovery using Percolation Theory, Physica A
Heffer KJ, King PR, Jones ADW, 1999, Fracture Modelling as Part of Integrated Reservoir Characterization, Middle East Oil Show, Bahrain, 20-23 February, 1999, Publisher: Society of Petroleum Engineers
Lee Y, Andrade JS, Buldyrev SV, et al., 1999, Traveling Time and Traveling Length in Critical Percolation Clusters, Physical Review E, Vol: 60, Pages: 3425-3428
Makse HA, Havlin S, King PR, et al., 1998, Experimental Studies of Stratification in a Granular Hele-Shaw Cell, Philosophical Magazine, Vol: 77, Pages: 1341-1351
Harding AJ, Radcliffe NJ, King PR, 1998, Hydrocarbon Production Scheduling with Genetic Algorithms, Society of Petroleum Engineers Journal, Vol: 3, Pages: 99-107
Dokholyan N V, Lee Y, Buldyrev SV, et al., 1998, Scaling of the Distribution of Shortest Paths in Percolation, Journal of Statistical Physics, Vol: 93, Pages: 603-613
Alessio L, King PR, Jones ADW, 1998, Capturing Effective Behaviour of Capillary Influenced Flow, 6th European Conference on Mathematics of Oil Recovery, Peebles, Scotland
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