Distribution of petrophysical properties for sandy-clayey reservoirs by fractal interpolation

Abstract

<jats:p>Abstract. The sandy-clayey hydrocarbon reservoirs of the Upper Paleocene and Lower Eocene located to the north of Veracruz State, Mexico, present highly complex geological and petrophysical characteristics. These reservoirs, which consist of sandstone and shale bodies within a depth interval ranging from 500 to 2000 m, were characterized statistically by means of fractal modeling and geostatistical tools. For 14 wells within an area of study of approximately 6 km2, various geophysical well logs were initially edited and further analyzed to establish a correlation between logs and core data. The fractal modeling based on the R/S (rescaled range) methodology and the interpolation method by successive random additions were used to generate pseudo-well logs between observed wells. The application of geostatistical tools, sequential Gaussian simulation and exponential model variograms contributed to estimate the spatial distribution of petrophysical properties such as effective porosity (PHIE), permeability (K) and shale volume (VSH). From the analysis and correlation of the information generated in the present study, it can be said, from a general point of view, that the results not only are correlated with already reported information but also provide significant characterization elements that would be hardly obtained by means of conventional techniques.</jats:p>

Facies Heterogeneities and 3d Porosity Modelling in an Oligocene (Upper Chattian) Carbonate Ramp, Salento Peninsula, Southern Italy

“…The porosity model was constructed using Gaussian Random Function Simulation (GRFS). This algorithm is a stochastic method that honours well data and facies distributions and variations, and reproduces variograms which are conditioned to facies heterogeneities (Gringarten and Deutsch, 2001;Lozada-Zumaeta et al 2012;Brigaud et al 2014). Porosity values were upscaled to the 3D geocellular model such that only the properties of porosity associated with the investigated facies in the cells were upscaled.…”

Synthetic Fractal Modelling of Heterogeneous and Anisotropic Reservoirs for Use in Simulation Studies: Implications on Their Hydrocarbon Recovery Prediction

“…This is due to the fact that many physical systems in nature produce a variation of properties that can be described via fractal statistics (Lozada-Zumaeta et al 2012). Several studies have been carried out in the past decades relating the fractal theory to the distribution of reservoir properties such as porosity and permeability.…”

“…Since these processes have been proven to behave fractally, it is expected that the distribution of sediments will show fractal behaviour too (Lozada-Zumaeta et al 2012). Consequently, a desired spatial reservoir petrophysical property distribution can possibly be modelled with fractal distribution, with the desired power law behaviour, over a finite range of scales defining the self-similar validity range (Hewett 1986(Hewett , 1993.…”

Fractal and Chaos in Exploration Geophysics

“…In petrophysics the fractal analysis is ued for lithofacies classification and reservoir characterization [8,9]. We cite for example the paper of Lozada-Zumaeta et al [10], they have analyzed the distribution of petrophysical properties for sandy-clayey reservoirs by fractal interpolation. San José Martínez et al [11] have published a paper for the detection of representative elementary area for multifractal analysis of soil porosity using entropy dimension.…”