Influence of Shape and Skin of Matrix-Rock Blocks on Pressure Transients in Fractured Reservoirs

Swaan, Abraham de

doi:10.2118/15637-pa

Cited by 47 publications

(32 citation statements)

References 11 publications

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“…The system BB plus SC is similar to the well known system of fracture and matrix-rock blocks (de Swaan, 1986), but in this case both media share the same petrophysical properties: local porosity, permeability and rock compressibility.…”

Section: Diffusion In a Supercritical Clustermentioning

confidence: 93%

Pressure Transients in a Fractal-Cluster Model of Porous Media

Swaan

2013

EAGE Annual Conference &Amp; Exhibition Incorporating SPE Europec

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-The reservoir is described as a "supercritical cluster"; that is, an aggregate of conductive elements that comprises a "backbone" of connected pores or fractures that span the zone of interest, and also a collection of "sub-critical clusters" or "dangling ends" joined to the backbone to a limited extent. The scheme resembles the usual fracture and matrix-blocks setting but both backbone and sub-clusters are of the same material and share similar petrophysical properties. Whereas the backbone is a homogeneous porous medium, the sub-critical clusters behave as fractal porous media. The backbone-cluster type of flow has been observed in laboratory experiments. The subcritical clusters were approximated as linear fractal media characterized by static and dynamic fractal exponents and also by porosity and permeability of the compound medium. One of the ends of the linear clusters is closed and the other is joined to the backbone, where the mainstream occurs. A new solution was developed for that problem. The Laplace transform in time and space was used in the mathematical scheme. The theory developed was applied to field cases of interference between wells in aquifers. The matches of computed and observed dynamic pressures show fair fits.Re´sume´-Transitoires de pression dans un mode`le d'agre´gat fractal de milieux poreuxLe re´servoir est de´crit comme un « agre´gat supercritique » ; a`savoir un ensemble d'e´le´ments conducteurs comprenant un « squelette » de pores connecte´s ou de fractures qui s'e´tendent sur la zone d'inte´reˆt et e´galement une collection « d'agre´gats sous-critiques » ou « d'extre´mite´s non sature´es » jointes au squelette sur une distance limite´e. Le sche´ma ressemble a`la fracturation et aux assemblages blocs-matrice habituels mais le squelette et les sous-agre´gats sont du meˆme mate´riau et partagent des proprie´te´s pe´tro-physiques similaires. Tandis que le squelette est un milieu poreux homoge`ne, les agre´gats sous-critiques se comportent comme des milieux poreux fractals. Ce type d'e´coulement a e´te´observe´dans des expe´riences de laboratoire. Les agre´gats sous-critiques ont e´te´repre´sente´s comme des milieux fractals line´aires caracte´rise´s par des exposants fractals statiques et dynamiques et e´galement par la porosite´et la perme´abilite´du milieu du compose´. Une des extre´mite´s des agre´gats line´aires est ferme´e et l'autre est relie´e au squelette, ou`coule le flux principal. Une nouvelle solution a e´te´de´veloppe´e pour ce proble`me. La transforme´e de Laplace dans le temps et l'espace a e´te´utilise´e dans le de´veloppement mathe´matique. La the´orie de´veloppe´e a e´te´applique´e aux cas d'interfe´rence sur le terrain entre les puits dans des aquife`res. Les comparaisons de pressions dynamiques calcule´es et observe´es pre´sentent des re´sultats compatibles.

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Section: Diffusion In a Supercritical Clustermentioning

confidence: 93%

Pressure Transients in a Fractal-Cluster Model of Porous Media

Swaan

2013

EAGE Annual Conference &Amp; Exhibition Incorporating SPE Europec

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“…The shape factors of Warren and Root (1963), Kazemi et al (1976), Peaceman (1976); Thomas et al (1983), Ueda et al (1989), Coats (1989); De Swaan (1990), Quintard and Whitaker (1996), Bourbiaux et al (1999), and Noetinger et al (2000) falls in the first class. The shape factors of this class are summarized in Table 1.…”

Section: Shape Factormentioning

confidence: 98%

Development of an Analytical Time-Dependent Matrix/Fracture Shape Factor for Countercurrent Imbibition in Simulation of Fractured Reservoirs

2012

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In dual porosity modeling of naturally fractured reservoirs, fluids exchange between the high porous matrix blocks and high permeable fracture systems is governed by transfer function. Therefore, transfer function, and specially shape factor as the main part of it, control fluids flow behavior, which certainly have significant effects on development and management plan of naturally fractured reservoirs. Also several formulations have been proposed for shape factor by a number of researchers, nearly all of them derived for expansion mechanism. But, shape factor is a phase sensitive parameter that can greatly affect results of simulation. Moreover, several shortcomings are inherent in the derived expressions of shape factor for imbibition process. The main aim of this work is to develop a new time-dependent matrix-fracture shape factor specific to countercurrent imbibition. In this study, fluid saturation distribution within a matrix block is analytically derived by solving capillary-diffusion equation under different imposed boundary conditions for the process where countercurrent imbibition is the dominant oil drive mechanism. The validity of the solutions is checked against literature experimental data (Bourbiaux and Kalaydjian, SPERE 5, 361-368, SPE 18283, 1990) and also by performing single porosity fine grid simulations. Then, the concept of analogy between the transport phenomena is employed to propose a new expression for matrix-fracture transfer function that is used to derive transient shape factor. It is illustrated in this article that time variation of imbibtion rate and shape factor can be used to diagnose different states of imbibition process. Although, the displacement process and employed approaches are completely different in this and other studies (Chang, Technical report, 1993; Kazemi and Gilman (eds.) Flow and contaminant transport in fractured rock.123 688 H. Saboorian-Jooybari et al. pseudo steady state, shape factor is only controlled by matrix geometry regardless of the displacement process, i.e., expansion or imbibition mechanism, However, shape factor is completely phase sensitive and process dependent during unsteady and late-transient states. Finally, boundary condition dependency of shape factor is investigated.

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“…Due to the ultra-low permeability of matrix, the fluid flowing in the matrix system is treated as unsteady-steady state flow (de Swaan, 1990;Noetinger et al, 2001;Landereau et al, 2001). Thus, we assume that SG flow within shale matrix obeys Second Fick's law.…”

Section: Appendix B Derivation Of Line Source Solutionmentioning

confidence: 99%

A Semi-Analytical Pressure-Transient Model to Detect Inter-well Interference of Multi-Well-Pad-Production Scheme in Shale Gas Reservoirs

Tian

Xiao

Dai

2018

Oil & Gas Science and Technology - Rev. IFP Energies nouvel

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-Recently, Multi-Well-Pad-Production (MWPP) scheme has been in the center of attention as a promising technology to improve Shale Gas (SG) recovery. However, Inter-Well Pressure Interference (IWPI) induced by MWPP scheme severely distorts flow regimes, which strongly challenges the traditional pressure-transient analysis methods, which focus on Single Multi-Fractured Horizontal Wells (SMFHW) without IWPI. Therefore, a methodology to identify pressure-transient response of MWPP scheme without and with IWPI is urgent. To fill this gap, by utilizing superposition theory, Gauss elimination and Stehfest numerical algorithm, the pressure-transient solution of MWPP scheme was established, as a result, type flow regimes can be identified by considering MWIP. Our results show that our proposed model demonstrates promising calculation speed and acceptable accuracy compared to numerical simulation. Part of flow regimes are significantly distorted by IWPI. In addition, well rate mainly determines the distortion of pressure curves, while fracture length, well spacing, fracture spacing mainly determine when the IWPI occurs. The smaller the gas rate, the more severely flow regimes are distorted. As the well spacing increases, fracture length decreases, fracture spacing decreases, occurrence of IWPI becomes later. Stress sensitivity coefficient approximately has no influences on distortion of pressure curves and occurrence of IWPI. This work gains some additional insights on pressure-transient response for MWPP scheme in SG reservoir, which can provide considerable guidance on fracture properties estimation as well as well pattern optimization for MWPP scheme.

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Influence of Shape and Skin of Matrix-Rock Blocks on Pressure Transients in Fractured Reservoirs

Cited by 47 publications

References 11 publications

Pressure Transients in a Fractal-Cluster Model of Porous Media

Pressure Transients in a Fractal-Cluster Model of Porous Media

Development of an Analytical Time-Dependent Matrix/Fracture Shape Factor for Countercurrent Imbibition in Simulation of Fractured Reservoirs

A Semi-Analytical Pressure-Transient Model to Detect Inter-well Interference of Multi-Well-Pad-Production Scheme in Shale Gas Reservoirs

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