Abstract
We investigate numerically the effect of sample volume on the effective single-phase permeability of heterolithic tidal sandstones, using three-dimensional models reconstructed directly from large rock specimens measuring ∼45 × 30 × 15 cm. We find that both individual and averaged effective permeability values vary as a function of sample volume, which indicates that permeability data obtained from core-plugs will not be representative at the scale of a reservoir model grid-block regardless of the number of measurements taken. However, the error introduced by averaged data may be minimized using the appropriate averaging scheme for a given facies type and flow direction.
Similar content being viewed by others
References
Bear, J., 1972, Dynamics of fluids in porous media: Elsevier, New York, 764 p.
Corbett, P. W. M., and Jensen, J. L., 1992, Variation of reservoir statistics according to sample spacing and measurement type for some intervals in the Lower Brent Group: Log Anal. v.33, p. 22-41.
Dixon, R. J., Beckly, A., Dodd, C., and Los, A., 1997, Reservoir geology of the Bruce Field, Bruce-Beryl Embayment, Quadrant 9, UKCS, in Oakman, C., Martin, J. H., and Corbett, P. W. M., eds., Cores from the Northwest European Hydrocarbon Province: An illustration of geological applications from exploration to development: Geological Society of London, London, p. 109-124.
Haldorsen, H. H., 1986, Simulator parameter assignment and the problem of scale in reservoir en-gineering, in Lake, L. W., and Carroll, H. B., eds., Reservoir characterization: Academic Press, London, p. 293-340.
Hurst, A., and Rosvoll, K., 1990, Permeability variations in sandstones and their relationship to sedimen-tary structures, in Lake, L. W., Carroll, H. B., and Wesson, T. C., eds., Reservoir Characterisation II: Academic Press, San Diego, CA, p. 166-196.
Jackson, M. D., Yoshida, S., Johnson, H. D., and Muggeridge, A. H., manuscript submitted for publication Three-dimensional reservoir characterisation and flow simulation of heterolithic tidal sandstones: Am. Assoc. Petroleum Geologist Bull.
Jackson, M. D., Yoshida, S., Johnson, H. D., Muggeridge, A. H., Naess, A., and Ringrose, P. S., 1999, Three-dimensional reconstruction, flow simulation and upscaling of complex bedform-scale sedimentary structures within tidal sandstone reservoirs, in Hentz, T., and Wood, L., eds., Advanced reservoir characterisation for the 21st century: Gulf Coast Section of the Society of Economic Palaeontologists and Mineralogists Special Publication.
Jensen, J. L., Lake, L. W., Corbett, P. W. M., and Goggin, D. J., 2000, Statistics for Petroleum Engineers and Geoscientists: Elsevier, London, 338 p.
Jones, A. D. W., Doyle, J. D., Jacobsen, T., and Kjonsvik, D., 1995, Which subseismic heterogeneities influence waterflood? A case study of a low net-to-gross fluvial reservoir, in de Haan, H. J., ed., New developments in improved oil recovery: Geological Society of London Special Publication 84, p. 5-18.
King, P. R., 1989, The use of renormalisation for calculating effective permeability: Transport Porous Media, v.4, p. 37-58.
Kjønsvik, D., Doyle, J., Jacobsen, T., and Jones, A., 1994, The effects of sedimentary heterogeneities on production from a shallow marine reservoir–what really matters?: Society of Petroleum Engineers Paper 28445, presented at the 1994 European Petroleum Conference, London.
Leventhal, S. H., Klein, M. H., and Culham, W. E., 1985, Curvilinear coordinate systems for reservoir simulation: Soc. Petroleum Eng. J., v.25, p. 893-900.
Maguregui, T., and Tyler, N., 1991, Evolution of Middle Eocene tide-dominated deltaic sandstones, Lagunillas Field, Maracaibo Basin, western Venezuela, in Miall, A. D., and Tyler, N., eds., The three-dimensional facies architecture of terrigenous clastic sediments and its implications for hydrcarbon recovery and discovery, concepts in sedimentology and palaeontology 3: Society of Economic Palaeontologists and Mineralogists, Tulsa, p. 233-244.
Marjanac, T., and Steel, R. J., 1997, Dunlin Group sequence stratigraphy in the northern North Sea: a model for Cook Sandstone Deposition: Am. Assoc. Petroleum Geologist Bull. Bulletin v.81, p. 276-292.
Martinius, A. W., Kaas, I., Næss, A., Helgesen, G., Kjærefjord, J. M., and Leith, D. A., 2001, Sedi-mentology of the heterolithic and tide-dominated Tilje Formation (Early Jurassic, Halten Terrace, offshore mid-Norway), in Martinsen, O., and Dreyer, T., eds., Sedimentary environments off-shore morway–paleozoic to recent: Norwegian Petroleum Society (NPF) Special Publication 10, Elsevier, Amsterdam.
Martinius, A. W., Ringrose, P. S., Næss, A., and Wen, R., 1999, Multi-scale characterisation and modelling of heterolithic tidal systems, offshore mid-Norway, in Hentz, T., and Wood, L., eds., Advanced reservoir characterisation for the 21st century: Gulf Coast Section of the Society of Economic Palaeontologists and Mineralogists Special Publication.
Norris, R. J., and Lewis, J. J. M., 1991, The geological modelling of effective permeability in complex heterolithic facies: Society of Petroleum Engineers Paper 22692, presented at the 66th Annual Technical Conference and Exhibition, Dallas.
Pickup, G. E., Ringrose, P. S., Forrester, M. M., Jensen, J. L., and Sorbie, K. S., 1994, The Geopseudo atlas: Geologically based upscaling of multiphase flow: Society of Petroleum Engineers Paper 27565, presented at the 1994 European Petroleum Computer Conference, Aberdeen, UK.
Reading, H. G., 1986, Facies, in Reading H. G., ed., Sedimentary environments and facies: Blackwell Science, Oxford, p. 4-19.
Reineck, H. E., and Wunderlich, F., 1968, Classification and origin of flaser and lenticular bedding: Sedimentology, v.11, p. 99-104.
Renard, Ph., and De Marsily, G., 1997, Calculating equivalent permeability: A review: Adv. Water Resour. v.20, p. 253-278.
Tidwell, V. C., and Wilson, J. L., 1999, Permeability upscaling measured on a block of Berea sandstone: Results and interpretation: Math. Geol. v.31, p. 749-769.
Tidwell, V. C., and Wilson, J. L., 2000, Heterogeneity, permeability patterns, and prmeability upscaling: Physical characterization of a block of massillon sandstone exhibiting nested scales of hetero-geneity: Society of Petroleum Engineers Reservoir Evaluation and Engineering, v.3, p. 283-291.
Warren, J. E., and Price, H. S., 1961, Flow in heterogeneous porous media: Soc. Petroleum Eng. J. v.1, p. 153-169.
Weber, K. J., and van Geuns, L. C., 1990, Framework for constructing clastic reservoir simulation models: J. Petroleum Technol. v.(Oct.), p. 1248-1297.
Wen, R., Martinius, A. W., Naess, A., and Ringrose, P., 1998, Three-dimensional simulation of small-scale heterogeneity in tidal deposits–A process-based stochastic method, in Buccianti, A., Nardi, G., and Potenza, R., eds., Proceedings of 4th Annual Conference of the International Association of Mathematical Geology: Ischia, De Frede, Naples, p. 129-134.
Yoshida, S., Jackson, M. D., Johnson H. D., Muggeridge, A. H., and Martinius, A. W., 2001, Outcrop studies of tidal sandstones for reservoir characterization (lower cretaceous vectis formation, Isle of Wight, Southern England), in Martinsen O., and Dreyer, T., eds., Sedimentary environments off-shore Norway–Paleozoic to recent: Norwegian Petroleum Society (NPF) Special Publication 10, Elsevier, Amsterdam.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jackson, M.D., Muggeridge, A.H., Yoshida, S. et al. Upscaling Permeability Measurements Within Complex Heterolithic Tidal Sandstones. Mathematical Geology 35, 499–520 (2003). https://doi.org/10.1023/A:1026236401104
Issue Date:
DOI: https://doi.org/10.1023/A:1026236401104