Abstract
Inclined wells has recently been adopted to develop fractured-vuggy carbonate hydrocarbon reservoirs (FVCHRs) composed by matrix, fracture and vug system. Therefore, it is significant for us to describe pressure transient of inclined well for FVCHRs. In this paper, it is assumed that vug and fracture system connect with wellbore, and inter-porosity flow from vug to fracture system appears. Therefore, the pressure transient responses model of inclined well with triple-porosity dual-permeability behavior was built. The model is solved by employing Laplace integral transform and finite cosine Fourier transform. Real-domain solution of the model is obtained by Stehfest inversion algorithm. On the basis model of the published paper, the solution of the simplified model of this paper was validated with horizontal and vertical well of FVCHRs with triple-porosity dual-permeability behavior, and results reach a good agreement. Type curve, according to pressure derivative curve characteristic, can be divided into eight flow regimes, which includes wellbore storage, skin reflect, early vertical radial flow, top and bottom boundary reflection, linear flow, inter-porosity flow from vug to fracture, inter-porosity from matrix to vug and fracture and pseudo-radial flow regimes. The influence of some vital parameters (inclination angle, inter-porosity flow coefficient, well length and permeability ratio etc.) on dimensionless pressure and its derivative curves are discussed in detail. The presented model can be used to understand pressure transient response characteristic of inclined wells in FVCHRs with dual-permeability behavior.
Highlights
Since a large number of the fractured-vuggy carbonate hydrocarbon reservoirs (FVCHRs) were found around the world, most of scholars have focused on studies of FVCHRs to understand flow characteristic of the fluid in the FVCHRs (Abadassah and Ershaghi, 1986; Liu et al, 2003; Sun et al, 2018)
This paper summarizes the published literature about well test model of the FVCHRs and slanted well, absorbs their highlights and studies on pressure transient behavior of the inclined well in FVCHRs
Based on the scheme of an inclined well as shown in Figure 2, the mathematical model of the inclined well is established in FVCHRs
Summary
Since the 1960s, numerous scholars mainly studied the flow characteristic of the fluid in naturally fractured reservoirs by the method of the pressure transient analysis (Warren and Root, 1963; Pruess and Narasimhan, 1985; Kuchuk and Biryukov, 2014; Kui et al, 2017; Tan et al, 2018; Yin, 2018; Song et al, 2019; Pang et al, 2020; Tontiwachwuthikul et al, 2020; Wang et al, 2020). CamachoVelázquez et al (2005) established and solved mathematical model of triple-porosity dual-permeability of the vertical well, which assumed that fluid of the natural fracture and vuggy porosity flow into wellbore directly, and the characteristic of pressure transient and decline curve are analyzed. Wang et al (2014) derived well test mathematical model of hydraulic fractured well in FVCHRs by point sink integral method This model assumed that fluid of matrix and natural fractures system flow into wormholes directly. This paper summarizes the published literature about well test model of the FVCHRs and slanted well, absorbs their highlights and studies on pressure transient behavior of the inclined well in FVCHRs. the objective of this paper is to establish and solve well test mathematical model of inclined well in FVCHRs with triple-porosity dual-permeability behavior by employing Laplace transform and finite cosine Fourier transform. Influence of some vital parameters on type curves are discussed in detail
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