A fractally fractional diffusion model of composite dual-porosity for multiple fractured horizontal wells with stimulated reservoir volume in tight gas reservoirs

Daihong Gu, Daoquan Ding, Zeli Gao, Leng Tian, Lu Liu, Cong Xiao

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)

Abstract

Based on fractal theory (FT) and fractional calculus (FC), a new fractally fractional diffusion model (FFDM) of composite dual-porosity has been developed to evaluate performance of multiple fractured horizontal wells (MFHWs) with stimulated reservoir volume (SRV) in tight gas reservoirs (TGRs). More specifically, FT is used to characterize the complex and heterogeneous fracture network (FN) both inside and outside of SRV, while anomalous behavior of diffusion processes both inside and outside of SRV is quantified by applying the temporal fractional derivatives. The FFDM is then solved by the Laplace transformation, line source function, the numerical discrete method, and superposition principle. The transient pressure responses are then inversely converted from Laplace domain into real time domain with the Stehfest algorithm, and the FFDM is also validated, and type curves are generated as well. Flow stages are subsequently identified together with analysis on characteristics of the type curves, especially the anomalous features different with those generated from the conventional Euclidean model. Sensitivity analyses of some related parameters have also been discussed as well. And the FFDM is then also matched with the real field well-testing data of a MFHW with SRV in a TGR. The proposed FFDM provides a new understanding of the performance of MFHWs with SRV in TGRs, which can be used to interpret the field pressure data more accurately and appropriately.

Original languageEnglish
Pages (from-to)53-68
Number of pages16
JournalJournal of Petroleum Science and Engineering
Volume173
DOIs
Publication statusPublished - 2019

Keywords

  • Anomalous diffusion
  • Fractal theory
  • Fractional calculus
  • Multiple fractured horizontal well
  • Stimulated reservoir volume
  • Tight gas reservoir

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