Advanced Search

Indexed by SCI、CA、РЖ、PA、CSA、ZR、etc .

Volume 19 Issue 1
Feb 2008
Turn off MathJax
Article Contents
J A Vargas-Guzmán. Effect of Multipoint Heterogeneity on Nonlinear Transformations for Geological Modeling: Porosity-Permeability Relations Revisited. Journal of Earth Science, 2008, 19(1): 85-92.
Citation: J A Vargas-Guzmán. Effect of Multipoint Heterogeneity on Nonlinear Transformations for Geological Modeling: Porosity-Permeability Relations Revisited. Journal of Earth Science, 2008, 19(1): 85-92.

Effect of Multipoint Heterogeneity on Nonlinear Transformations for Geological Modeling: Porosity-Permeability Relations Revisited

More Information
  • Corresponding author: J A Vargas-Guzmán: anton_varguz@hotmail.com
  • Received Date: 17 Oct 2007
  • Accepted Date: 12 Dec 2007
  • An analysis of statistical expected values for transformations is performed in this study to quantify the effect of heterogeneity on spatial geological modeling and evaluations. Algebraic transformations are frequently applied to data from logging to allow for the modeling of geological properties. Transformations may be powers, products, and exponential operations which are commonly used in well-known relations (e.g., porosity-permeability transforms). The results of this study show that correct computations must account for residual transformation terms which arise due to lack of independence among heterogeneous geological properties. In the case of an exponential porosity-permeability transform, the values may be positive. This proves that a simple exponential model back-transformed from linear regression underestimates permeability. In the case of transformations involving two or more properties, residual terms may represent the contribution of heterogeneous components which occur when properties vary together, regardless of a pair-wise linear independence. A consequence of power- and product-transform models is that regression equations within those transformations need corrections via residual cumulants. A generalization of this result is that transformations of multivariate spatial attributes require multiple-point random variable relations. This analysis provides practical solutions leading to a methodology for nonlinear modeling using correct back transformations in geology.

     

  • loading
  • Delfiner, P., 2006. Three Statistical Pitfalls of Phi-K Transforms. Paper SPE 102093 Presented at the 2006 Annual Technical Conference and Exhibition, San Antonio, Texas. 1–9
    Jensen, J., Hinkley, D., Lake, L., 1987. A Statistical Study of Reservoir Permeability: Distributions, Correlations, and Averages. Paper SPE 14270 Presented at the 1985 Annual Technical Conference and Exhibition, Las Vegas. 461–468
    Vargas-Guzmán, J. A., Yeh, T. C. J., 1999. Sequential Kriging and Cokriging: Two Powerful Approaches. Stochastic Hydrology and Hydraulics, 13: 416–435
    Vargas-Guzmán, J. A., Dimitrakopoulos, R., 2002. Successive Computation of Non-parametric Conditional Distributions. Math. Geol. , 35: 39–52
    Vargas-Guzmán, J. A., 2004. Geostatistics for Power Models of Gaussian Fields. Math. Geol. , 36: 329–344
    Vargas-Guzmán, J. A., 2005. Change of Support of Transformations: Conservation of Lognormality Revisited. Math. Geol. , 37: 551–567 doi: 10.1007/s11004-005-7306-7
    Vargas-Guzmán, J. A., 2007. Spatial Modeling of Heterogeneous Initial Water Saturation. Journal of Petroleum Science and Engineering, 58: 283–292 doi: 10.1016/j.petrol.2007.02.001
    Xue G., Datta-Gupta, A., Valko, P., et al., 1996. Optimal Transformations for Multiple Regression: Application to Permeability Estimation from Well Logs. Paper SPE 35412 Presented at the Improved Oil Recovery Symposium, Tulsa, Oklahoma. 115–129
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(6)  / Tables(3)

    Article Metrics

    Article views(866) PDF downloads(31) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return