Preliminary Study of 2D Fracture Upscaling of Geothermal Rock Using IFS Fractal Model

6th Asian Physics Symposium

Tobing, Prana F. L.^1 ; Feranie, Selly^1 ; Latief, Fourier D. E.^2

Physics Department, Faculty of Mathematics and Natural Sciences, Indonesia University of Education, Dr. Setiabudhi's Street. No 229, Bandung

40154, Indonesia^1

Physics of Complex Systems, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Ganesha's Street. No 10, Bandung

40132, Indonesia^2

关键词: Fourth generation;    Fractal dimensions (d);    Fractal properties;    Fractal structures;    Fracture parameter;    Iterated function system;    Scale independence;    Upscaling methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/739/1/012095/pdf
DOI  :  10.1088/1742-6596/739/1/012095

来源: IOP

【 摘 要 】

Fractured rock plays important role in reservoir production. In larger scale, fractures are more likely to be heterogeneous and considered to be fractal in its nature. One of the characteristics of fractal structure is the scale independence. An investigation of fractal properties on natural fractured rock is therefore needed for modelling larger fracture. We have investigated the possibilities of fractal upscaling method to produce a larger geothermal fracture model based on smaller fracture data. We generate Iterated Function System (IFS) fractal model using parameters e.g. scale factor, angle between branch, initial line direction, and branch thickness. All the model parameters are obtained from smaller fracture data. We generate higher iteration model to be compared with larger geothermal fracture. The similarity between the IFS fractal model and natural fracture is measured by 2D box counting fractal dimension (D). The fractal dimension of first to fourth generation fractal model is (1.86 ± 0.02). The fractal dimension of the reference geothermal site is (1.86 ± 0.04). Besides of D, we found significant similarity of fracture parameters there are intensity and density between fracture model and natural fracture. Based on these result, we conclude that fractal upscaling using IFS fractal model is potential to model larger scale of 2D fracture.