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Modeling of porosity by geostatistical methods

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Abstract

Geostatistical reservoir modeling is an interpolation technique that allows geoscientists to generate different petroleum reservoir models by integrating well logs and 3D seismic data. The application of this method involves using seismic attributes (e.g., acoustic impedance) with log data recorded in different wells, to predict the porosity distribution over the entire reservoir in a geologically realistic model. The use of the Bayesian approach in the SGS algorithm adds the ability to control the variability of the porosity in a statistical way, by taking advantage of the porosity’s probabilities of occurrence as a function of the acoustic impedance value at each point in the reservoir.

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Abbreviations

Z i :

Measurement of a variable

Z v :

True value of the variable

\( {Z}_v^{\ast } \) :

Estimator

λ :

Constant

γ :

Variogram

h :

Distance between two measurements

Var:

Variance

\( \sigma {\displaystyle \begin{array}{c}2\\ {}e\end{array}} \) :

Minimum variance

COV:

Covariance

KDE:

Kernel density estimator

PDF:

Probability density function

SE:

South-East

NW:

North-West

f :

Function

Phi:

Porosity

AI:

Acoustic impedance

K(s):

Kernel function

SGS:

Sequential Gaussian simulation

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Author information

Authors and Affiliations

  1. M’hamed Bougara University, Boumerdes, Algeria

    Rachid Ketteb & Mabrouk Djeddi

  2. Helioparc Technopole, 2 avenue of President Pierre Angot, 64000, Pau, France

    Yacine Kiche

Authors
  1. Rachid Ketteb
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  2. Mabrouk Djeddi
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  3. Yacine Kiche
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Corresponding author

Correspondence to Rachid Ketteb.

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Editorial handling: A. Dehghani

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Ketteb, R., Djeddi, M. & Kiche, Y. Modeling of porosity by geostatistical methods. Arab J Geosci 12, 268 (2019). https://doi.org/10.1007/s12517-019-4450-9

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  • DOI: https://doi.org/10.1007/s12517-019-4450-9

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