Application of Fractal Reservoir Model for Interference Test Analysis in Kamojang Geothermal Field (Indonesia)

Abstract

This paper presents the application of a new concept, i.e.; fractal model, to analyze pressure transient test data in complex naturally fractured geothermal reservoir.Application of conventional type curves has been unsuccesful in analyzing and interpreting the interference te,;l results in Kamojang geothermal reservoir which is considered as a complex naturally fractured system.Using the conventional type curve method, the pressure test data, in this case, can not match to the curve, primarily at early time data. The match, however, can be achieved by using the type curves generated based on "fractal reservoir model" which has been previously developed by Chang and Yortsos in 1990. Using the diffusivity equation of fractal reservoir, the equation for interference test has been derived and the result is then used for generating a new type curve method. In addition, the procedure to use this method has also been developed.Using the generated type curves, application has been performed on analyzing the interference test data from Kamojang geothermal reservoir.The analyzing results demonstrate the viability of the model in describing characteristics of the reservoir such as transmissibility, storativity and fractal dimension of the medium.

The Similar Structure Method for Solving the Model of Fractal Dual-Porosity Reservoir

“…References [5,6] proposed a seepage model of Newtonian fluid in fractal reservoir and analyzed its well test curve. References [7,8] showed that fractal reservoir seepage model can be explained much more effectively than traditional one and obtained a conclusion very consistent with well test curve. References [9,10] discussed that the fractal theory was powerful in analysis of the fluid flow properties with complex and microscopic stochastic microstructures in porous media.…”

Characteristics of transient pressure performance of horizontal wells in fractured-vuggy tight fractal reservoirs considering nonlinear seepage

“…Single-phase flow in the fractal object was described by an appropriate modification of the diffusivity equation. In addition, the viability of the model in explaining parameters such the transmissibility, storativity and fractal dimension of a complex naturally fractured geothermal reservoir was analyzed through the pressure transient test data (Aprilian et al, 1993). What is more, the fractal theory was applied to real well tests in various fractured reservoirs and the physical meaning of the fractal parameters was presented in the context of well testing in 1995 (Acuna et al, 1995).…”

Analytical 2D model to invert hydraulic pumping tests in fractured rocks with fractal behavior

“…Reliability of can be assessed in different ways. The first one is to note that a rough approximation of the derivative of Δp with respect to ln t may be written as follows (assuming t′ α ≈ t α ): This expression, which scales as t α , is equivalent for d = 2 (i.e., α = 1 − D/(2 + θ)) to the one found by approximation of the Chang and Yortsos solution for long times [ Aprilian et al , 1993]. Another possibility is to check the solution against numerical results.…”