Generally Applicable Method For Calculation Of The Matrix-fracture Fluid Transfer Rates

Abstract

The paper presents a practical method for calculating the matrix-fracture fluid transfer correctly, applicable under expansion, solution gas, capillary and gravitational drives and their combinations, considering water, gas and oil as displacing agents. The method is an improvement of the Reiss (1973) formulation based on time-depending recovery functions. Reiss could not consider depletion drive in combination with water and gas displacement. Kazemi et al. (1976) extended the Warren-Root shape factor approach to multi-phase cases, but without satisfying the conditions under which the single-phase solution is correct. Since that continuous efforts were made for improvement including diversification and making the shape factor time-dependent. Many publications demonstrated that these efforts are futile. Su et al. (2013) clearly postulated Љa change of focus to the improvement of the transfer function would be a path to exploreЉ. The paper is an attempt in this sense with encouraging results. The suggested approach determines on fine gridded single matrix block (SMB) models recovery curves. Those are used directly in dual continuum models.

Modelling the transient effect in naturally fractured reservoirs

“…In previous decades, numerous attempts were performed to improve the performance of the dual-porosity model by proposing several adjustments to the transfer function formula, the calculation of shape factor and the discretisation technique in the matrix block (e.g. (Alkandari 2002;Geiger et al 2013; Gilman and Kazemi 1988;Heinemann and Mittermeir 2016;Kazemi and Gilman 1993;Lu et al 2008Lu et al , 2006Quandalle and Sabathier 1989;Sarma and Aziz 2006;Sonier et al 1988;Su et al 2013)). Furthermore, the outcomes of the proposed adjustments have frequently been compared and calibrated with a reference solution of fine-grid modelling.…”

“…(Lu et al 2006;Lu and Blunt 2007)), a time-dependent shape factor (e.g. (Heinemann and Mittermeir 2016;Su et al 2013)) and deriving the transfer function based on lab experiments (e.g. (Alkandari 2002)).…”

Gravity Drainage Mechanism in Naturally Fractured Carbonate Reservoirs; Review and Application

“…However, high-resolution models are superior in representing the reservoir heterogeneity and accurately depicting the gravity drainage process. Therefore, high-resolution models are often used as a reference scenario to evaluate the improvements in the developed formulas for the dual-porosity model (e.g., [12][13][14]).…”