Fractal Model of Rocks—A Useful Model for the Calculation of Petrophysical Parameters

• 作者: V. Yu. Hallbauer-Zadorozhnaya
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 医学
• 关键词: FRACTAL SEDIMENTS RESISTIVITY POROSITY PERMEABILITY
• 年，卷（期）: 2013,（4）
• 页码范围: 186-196
• 页数: 11页
• 分类号: R73

摘要

A fractal model containing n-series of spheres and ellipses with corresponding radii, and surrounded by a thin film of adsorbed water has been developed. This model is more suitable to real sedimentary rocks because it not only allows for varying grain sizes and number of fractions, but also takes into consideration the influence of double electrical layers on the physical properties of sediments. Ellipsoid fractal models provide mathematical proof of the phenomenon of supercapillary conductivity observed in laboratory measurements. Using the parameters of the fractal models several petrophysical parameters can be calculated, namely resistivity porosity, and permeability. In a case study, layers with different resistivity were identified on a section taken from a TDEM survey, and porosity and salinity of water bearing layers were estimated using the fractal model. Estimated permeability using the fractal model showed good agreement with other methods.