Abstract
This chapter presents geostatistical characterizations of geospatial data, focusing on the description of the spatial continuity/discontinuity of reservoir properties using variogram, covariance or correlation function. Other geostatistical methods used for modeling reservoir properties are presented in Chaps. 16, 17 and 18.
The profound study of nature is the most fertile source of mathematical discoveries.
Joseph Fourier
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Armstrong, M., & Jabin, R. (1981). Variogram models must be positive-definite. Mathematical Geology, 13(5), 455–459.
Armstrong, M., Galli, A. G., Le Loc’h, G., Geffroy, F., & Eschard, R. (2003). Plurigaussian simulations in geosciences. Berlin: Springer.
Barnes, R. J. (1991). The variogram sill and the sample variance. Mathematical Geology, 23(4), 673–678.
Carle, S. F., & Fogg, G. E. (1996). Transition probability-based indicator geostatistics. Mathematical Geology, 28(4), 453–476.
Chiles, J. P., & And Delfiner, P. (2012). Geostatistics: Modeling spatial uncertainty (2nd ed.). Hoboken: Wiley.
Dubrule, O. (2017). Indicator variogram models: Do we have much choice? Mathematical Geosciences, 49(4), 441–465. https://doi.org/10.1007/s11004-017-9678-x.
Genton, M. G. (1998). Variogram fitting by generalized least squares using an explicit formula for the covariance structure. Mathematical Geology, 30(4), 323–345.
Gringarten, E., & Deutsch, C. V. (2001). Variogram interpretation and modeling. Mathematical Geology, 33, 507–535.
Jones, T., & Ma, Y. Z. (2001). Geologic characteristics of hole-effect variograms calculated from lithology-indicator variables. Mathematical Geology, 33(5), 615–629.
Journel, A. G., & Huijbregts, C. J. (1978). Mining geostatistics. New York: Academic.
Journel, A. G., & Froidevaux, R. (1982). Anisotropic hole-effect modeling. Mathematical Geology, 14(3), 217–239.
Krige, D. G. (1951). A statistical approach to some basic mine valuation problems in the Witwatersrand. Journal of the Chemical, Metallurgical and Mining Society of South Africa, 52, 119–139.
Ma, Y. Z., & Jones, T. A. (2001). Modeling hole-effect variograms of lithology-indicator variables. Mathematical Geology, 33(5), 631–648.
Ma, Y. Z., Seto, A., & Gomez, E. (2008). Frequentist meets spatialist: A marriage made in reservoir characterization and modeling. SPE 115836, SPE ATCE, Denver, CO.
Ma, Y. Z., Seto, A., & Gomez, E. (2009). Depositional facies analysis and modeling of Judy Creek reef complex of the Late Devonian Swan Hills, Alberta, Canada. AAPG Bulletin, 93(9), 1235–1256. https://doi.org/10.1306/05220908103.
Matheron, G. (1971). The theory of regionalized variables and their applications: Textbook of center of geostatistics. Fontainebleau, France, 212p.
Matheron, G. (1973). The intrinsic random functions and their applications. Advances in Applied Probability, 5, 439–468.
Matheron, G. (1989). Estimating and choosing: An essay on probability in practice. Berlin: Springer, 141p.
Olea, R. A. (1991). Geostatistical glossary and multilingual dictionary. New York: Oxford University Press.
Papoulis, A. (1977). Signal analysis. New York: McGraw Hill Book Company.
Wackernagel, H. (2003). Multivariate geostatistics: An introduction with applications (3rd ed.). Berlin: Springer.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Ma, Y.Z. (2019). Geostatistical Variography for Geospatial Variables. In: Quantitative Geosciences: Data Analytics, Geostatistics, Reservoir Characterization and Modeling. Springer, Cham. https://doi.org/10.1007/978-3-030-17860-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-17860-4_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-17859-8
Online ISBN: 978-3-030-17860-4
eBook Packages: EnergyEnergy (R0)