A Fractal Analysis for Net Present Value of Multi-Stage Hydraulic Fractured Horizontal Well

Abstract

Because of the low permeability, multi-stage hydraulic fractured horizontal wells (MHFHWs) occupy a dominant position among production wells in tight gas reservoir. However, net present value (NPV) estimation method for MHFHW in tight gas reservoirs often ignores the effect of heterogeneity in microscopic pore structure. Apart from that, a new fractal model is presented for NPV of MHFHW, based on the fractal expressions of formation parameters. First, with the aid of apparent permeability model, a pseudo pressure expression considering both reservoir fractal features and slippage effect is derived, contributing to establish the productivity model. Secondly, economic assessment method is built based on the fractal productivity model, in order to obtain the NPV of MHFHW. Thirdly, the type curves are illustrated and the influences of different fractal parameters are discussed. The pore fractal dimensions D f and the capillary tortuosity fractal dimensions D T have significant effects on the NPV of an MHFHW. Finally, the proposed model in this paper provides a new methodology for analyzing and predicting the NPV of an MHFHW and may be conducive to a better understanding of the optimal design of MHFHW.

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

“…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). From then on, seepage models of multiplemedium reservoirs developed rapidly since the application of the fractal theory (Kong et al, 2008;Lu et al, 2017;Razminia et al, 2015;Wang et al, 2015;Xu et al, 2008). In addition to that, Xu et al (2017) developed a fractal dual-porosity model to study the single-phase fluid flow through fractured porous media, which can capture the statistical characteristics of fractures and shed light on the transport mechanism of fractured porous media compared with empirical formulas for effective permeability.…”

Editorial

“…8 Sheng et al 9 introduced a random fractal algorithm based on Lindenmayer system to generate fracture networks according to the micro-seismic data, and evaluate the effective stimulated reservoir volume in shale gas reservoirs. Lu et al 10 presented a fractal model for the net present value of multi-stage fractured horizontal wells in tight gas reservoir, where a fractal gas permeability model with slippage effect was employed to characterize the apparent permeability of reservoir stratum. Xu et al 11 introduced fractal dimensions to characterize the fracture aperture and length and presented a fractal dual-porosity model for the single-phase fluid flow through fractured porous media.…”