Application of wavelet transforms to reservoir data analysis and scaling

Society of Petroleum Engineers - SPE Annual Technical Conference and Exhibition

Volumn , Issue , 1996, Pages 251-266

  Panda, M N ^a   Mosher, C ^a   Chopra, A K ^a  

^a ARCO Explor and Prod Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA HANDLING; IMAGE ANALYSIS; INFORMATION ANALYSIS; ONE DIMENSIONAL; ORTHOGONAL FUNCTIONS; TIME DOMAIN ANALYSIS; TIME SERIES ANALYSIS; COMPUTER VISION; DATA REDUCTION; PARAMETER ESTIMATION; WAVELET TRANSFORMS;

DATA ANALYSIS METHODS; DATA REPRESENTATIONS; ORTHOGONAL BASIS FUNCTION; ORTHOGONAL WAVELETS; PERMEABILITY FIELDS; PERMEABILITY STRUCTURE; TIME-FREQUENCY PLANES; TIME-FREQUENCY SPACE; MULTIRESOLUTION DATA REPRESENTATION; ORTHOGONAL BASIS FUNCTIONS;

WAVELET TRANSFORMS; PETROLEUM RESERVOIR EVALUATION;

EID: 0029728578     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2118/36516-ms     Document Type: Conference Paper

References (26)

1. Daubechies, I., Orthonormal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, Vol. XLI, pp. 909-996, (1988).
2. Chui, C.K., An Introduction to Wavelets Academic Press, Inc., San Diego, CA, (1992).
3. Antoniou, A., Digital Filters: Analysis and Design, McGraw Hill Book Company, New York, (1979).
4. Childers, D.G., A. Durling, Digital Filtering and Signal Processing, West Publishing Company, New York, (1975).
5. Mallat, S.G., A theory for multiresolution signal decomposition: The wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 7, pp. 674-693, (1989).
6. Mallat, S.G., Multifrequency channel decompositions of images and wavelet models, IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 37, No. 12, pp. 2091-2110, (1989).
7. Strang, G., The transformation of signals into a sum of small, overlapping waves offers a new method for analyzing, storing and transmitting information, American Scientist, Vol. 82, pp. 250-255, (1994).
8. Grossmann, A., J. Morlet, Transforms associated to square integrable group representations, International Journal of Mathematical Physics, Vol. 26, pp. 2473-2479, (1986).
9. Canny, J., A computational approach to edge detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. PAMI-8, No. 6, pp. 679-697, (1986).
10. Mallat, S.G., W.L. Hwang, Singularity detection and processing with wavelets, IEEE Transactions on Information Theory, Vol. 38, No. 2, pp. 617-643, (1992).
11. Nalwa, V.S., T.O. Binford, On detecting edges, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. PAMI-8, No. 6, pp. 699-714, (1986).
12. Goggin, D.J., Geologically-sensible modeling of the spatial distribution of permeability in eolian deposits: Page Sandstone (Jurassic), northern Arizona: Ph.D. dissertation, The University of Texas at Austin, (1988).
13. Kasap, E., L.W. Lake, Calculating the effective. permeability tensor of a gridblock, SPEFE, June, pp. 192-200, (1990).
14. Pickup, G.E., J.L. Jensen, P.S. Ringrose, and K.S. Sorbie, A method for calculating permeability tensors using perturbed boundary conditions, Mathematics of Oil Recovery, Delft, June (1992).
15. King, P.R., Effective values in averaging, in Mathematics of Oil Production, S.S. Edwards and P.R. King (eds), Clarendon Press, Oxford, (1988).
16. Jones, A., P. King, C. McGill, and J. Williams, Renormalization: A multilevel method of upscaling, Third International Reservoir 15. Characterization Technical Conference, Nov. 3-5, Tulsa, Oklahoma, (1991).
17. Williams, J.K., Simple renormalization schemes for scaling effective properties of heterogeneous reservoirs, in The Mathematics of Oil Recovery, P.R. King (ed.), Clarendon Press, Oxford, (1992).
18. Malik, M.A., Study of Permeability Heterogeneities, Ph.D. Dissertation, The University of Texas at Austin, Texas, (1996).
19. Warrick, A.W., G.J. Mullen, and D.R. Nielsen, Scaling fluidmeasured soil hydaulic properties using a similar media concept, Water Resources Research, Vol. 13, No. 2, pp. 355-362, (1977).
20. Cushman, J.H., Volume averaging, probability averaging, and ergodicity, Advancements in Water Resources, Vol. 6., (1983).
21. Kitanidis, P.K., Effective hydraulic conductivity for gradually varying flow, Water Resources Research, Vol. 26, No. 6, pp.1197-1208, (1990).
22. Dykaar, B.B, and P.K. Kitanidis, Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach, Water Resources Research, Vol. 28, No. 4, pp. 1155-1166, (1992).
23. Dykaar, B.B, and P.K. Kitanidis, Geostatistcal analysis of interwell transmissivity in heterogeneous aquifers, Water Resources Research, Vol. 29, No. 4, pp. 1239-1246, (1993).
24. Joumel, AG., F. Alabert, New method for reservoir mapping, JPT, Feb, pp. 212-218, (1990).
25. Rubin, Y., J.J Gomez-Hernandez, A stochastic approach tothe problem of upscaling conductivity in disordered media: Theory and unconditional nymerical simulation, Water Resources Research, Vol. 26, No. 4, pp. 691-701, (1990).
26. Gabor, D., Theory of communication, Journal of Institute of Electrical Engineers, London, Vol. 93, pp. 429-457, (1946).