2016_EJRNL_PP_DAIHONG_GU_1.pdf
Terbatas  Suharsiyah
» Gedung UPT Perpustakaan
Terbatas  Suharsiyah
» Gedung UPT Perpustakaan
Currently, most models for multiple fractured horizontal wells (MFHWs) in naturally fractured
unconventional reservoirs (NFURs) are based on classical Euclidean models which implicitly assume a uniform distribution of natural fractures and that all fractures are homogeneous. While
fractal theory provides a powerful method to describe the disorder, heterogeneity, uncertainty and
complexity of the NFURs. In this paper, a fractally fractional diffusion model (FFDM) for MFHWs in
NFURs is established based on fractal theory and fractional calculus. Particularly, fractal theory is
used to describe the heterogeneous, complex fracture network, with consideration of anomalous
behavior of diffusion process in NFURs by employing fractional calculus. The Laplace transformation, line source function, dispersion method, and superposition principle are used to solve
this new model. The pressure responses in the real time domain are obtained with Stehfest numerical inversion algorithms. The type curves of MFHW with three different outer boundaries are
plotted. Sensitivity analysis of some related parameters are discussed as well. This new model
provides the relatively more accurate and appropriate evaluation results for pressure transient
analysis for MFHWs in NFURs, which could be applied to accurately interpret the real pressure data
of an MFHW in field.