Transient Pressure Analysis in Partially-Penetrating Wells

Yildiz, Turhan; Bassiouni, Zaki

doi:10.2118/90-02

Cited by 17 publications

(18 citation statements)

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“…In all models it is computed the average pressure along the perforated interval 21 The short-time approximation for any model presented in this work is given by the following equation:…”

Section: Discussionmentioning

confidence: 99%

Pressure Transient and Decline Curve Behaviors for Partially Penetrating Wells Completed in Naturally Fractured-Vuggy Reservoirs

Fuentes-Cruz

Camacho-Velázquez

Vasquez-Cruz

2004

Proceedings of SPE International Petroleum Conference in Mexico

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TX 75083-3836, U.S.A., fax 01-972-952-9435. AbstractThis work presents results on both pressure and production responses during transient and boundary-dominated flow periods, in naturally fractured reservoirs with vuggy porosity. It is considered that triple-porosity systems may not be treated as dual-porosity reservoirs, mainly because fractures and vugs have different geological origin and therefore their interaction with matrix blocks do not have to be similar. New solutions are presented for the case where there is no primary flow through vugs, an extension of the Warren and Root model, existing an interaction between matrix, vugs, and fracture systems.The new model assumes a single partially penetrating well producing from an undersaturated system considering several boundary conditions. The inner boundary condition at the wellbore can be considered either a fixed flux or constant pressure boundary. The upper, lower, and outer boundaries can be modeled at constant pressure or prescribed flux. These boundaries can be closed, or the influx can be modeled via a step rate or a ramp rate function. The step rate function could represent a waterflood effect and the ramp rate function a natural waterdrive or gas drive cap effect. The transient pressure response is also analyzed by considering an infinite outer boundary. In transient well tests and decline curve analysis, the effects of triple-porosity for different upper and lower boundaries conditions are analyzed, besides considering closed upper and lower boundaries as it has been done in the literature. It is shown that for triple porosity systems the derivative function may exhibit different behavior to that of double-porosity reservoirs. It is demonstrated that the presence of vugs and caves may have a definitive influence on transient well test and decline curve behaviors. Synthetic and field examples are presented to illustrate the methodology proposed in this work.

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“…In all models it is computed the average pressure along the perforated interval 21 The short-time approximation for any model presented in this work is given by the following equation:…”

Section: Discussionmentioning

confidence: 99%

Pressure Transient and Decline Curve Behaviors for Partially Penetrating Wells Completed in Naturally Fractured-Vuggy Reservoirs

Fuentes-Cruz

Camacho-Velázquez

Vasquez-Cruz

2004

Proceedings of SPE International Petroleum Conference in Mexico

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“…For most single-fractured wellbore, the wellbore pressure is also approximated at an appropriate equivalent-pressure point (Gringarten and Ramey 1975). For some cases, particularly, horizontal wells and fractures, the wellbore pressure is also approximated by averaging over the flowing surface (Biryukov and Kuchuk 2012b;Kuchuk 1994;Ozkan and Raghavan 1991;Streltsova 1979;Wilkinson and Hammond 1990;Yildiz and Bassiouni 1990).…”

Section: Introductionmentioning

confidence: 99%

Pressure Transient Behavior of Horizontal Wells Intersecting Multiple Hydraulic Fractures in Naturally Fractured Reservoirs

Biryukov

Kuchuk

2015

Transp Porous Med

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In this study, we present a mesh-free semi-analytical technique for modeling pressure transient behavior of continuously and discretely hydraulically and naturally fractured reservoirs for a single-phase fluid. In our model, we consider a 3D reservoir, where each fracture is explicitly modeled without any upscaling or homogenization as required for dualporosity media. Fractures can have finite or infinite conductivities, and the formation (matrix) is assumed to have a finite permeability. Our approach is based on the boundary element method. The method has advantages such as the absence of grids and reduced dimensionality. It provides continuous rather than discrete solutions. The uniform-pressure boundary condition over the wellbore is used in our mathematical model. This is the true physical boundary condition for any type of well, whether fractured or not, provided that the friction pressure drop in the wellbore is small and the fluid is Newtonian. The method is sufficiently general to be applied to many different well geometries and reservoir geological settings, where the spatial domain may include arbitrary fracture and/or fault distribution, a

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“…The earlier solutions for the pressure transient behavior of partially penetrated wells (Odeh 1968;Hantush 1957;Nisle 1958;Brons and Marting 1961) used the line source approximation to derive the finite-length uniform-flux line source solution, from which the wellbore pressure was approximated at the middle point of the open section of the well. The second set of solutions is based on either finite uniform-flux line source approximations with an appropriate equivalent-pressure point (Gringarten and Ramey 1975) or uniform-flux pressure-averaged approximations (Streltsova-Adams 1979;Yildiz and Bassiouni 1990;Kuchuk and Wilkinson 1991;Kuchuk 1994;Wilkinson and Hammond 1990;Ozkan and Raghavan 1991;Biryukov and Kuchuk 2012). The third set of solutions is based on the uniform-pressure boundary condition, whioch is the true wellbore condition, on the surface of the open interval given by Papatzacos (1987a, b), in which they used the prolate spherical coordinates to solve the pressure diffusion equation for partially penetrated wells..…”

Section: Introductionmentioning

confidence: 99%

Pressure Transient Solutions for Vertically Slotted-Partially Penetrated Vertical Wells in Porous Media

Biryukov

Kuchuk

2014

Transp Porous Med

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In this paper, we present semi-analytical pressure transient solutions for vertically slotted-limited entry or partially penetrated vertical wells. These solutions are needed for interpretation of the pressure transient tests conducted with the Wireline Formation Testing vertically slotted-packer configuration, and in wells with vertically slotted-liner completions. These slots have limited size openings and are vertically placed on a non-permeable cylindrical wellbore in a porous medium. The fluid from the formation is produced through these slots into the wellbore. Pressure transient solutions are not readily available for the uniform pressure boundary condition on the surface of the slots because such a condition creates a mixed boundary value problem, which is difficult to solve. Here we present exact pressure transient solutions obtained under the assumption that the pressure on the slot surface is uniform but a priori unknown, and the rest of the wellbore surface is non-permeable (no-flow condition). Furthermore, we generalize our solution for the case of multiple slots (open sections) on the wellbore for both well testing and Wireline formation tester packer modules. Our solutions are compared with the existing solutions. A new formula for obtaining the drawdown horizontal mobility is presented for anisotropic media.

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Transient Pressure Analysis in Partially-Penetrating Wells

Cited by 17 publications

References 0 publications

Pressure Transient and Decline Curve Behaviors for Partially Penetrating Wells Completed in Naturally Fractured-Vuggy Reservoirs

Pressure Transient and Decline Curve Behaviors for Partially Penetrating Wells Completed in Naturally Fractured-Vuggy Reservoirs

Pressure Transient Behavior of Horizontal Wells Intersecting Multiple Hydraulic Fractures in Naturally Fractured Reservoirs

Pressure Transient Solutions for Vertically Slotted-Partially Penetrated Vertical Wells in Porous Media

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