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Journal ArticleDOI

The Behavior of Naturally Fractured Reservoirs

01 Sep 1963-Society of Petroleum Engineers Journal (Society of Petroleum Engineers)-Vol. 3, Iss: 03, pp 245-255
TL;DR: Enginsera et al. as discussed by the authors proposed an idealized model for the purpose of studying the characteristic behavior of a permeable medium which contains regions which contribute significantly to the pore volume of the system but contribute negligibly to the flow capacity.
Abstract: An idealized model has been developed for the purpose of studying the characteristic behavioroja permeable medium which contains regions which contribute sigizificantly to tbe pore volume O! the system but contribute negligibly to the flow capacity; e.g., a naturally fractured or vugular reservoir, Vnsteady-state flow in this model reservoir has been investigated analytically. The pressure buiid-up performance has been examined insomedetait; and, a technique foranalyzing tbebuild.up data to evaluate the desired parameters has been suggested. The use of this ap$roacb in the interpretation of field data has been discussed. As a result of this study, the following general conclusions can be drawn: 1. Two parameters are sufficient to characterize the deviation of the behavior of a medium with “double porosity ”from that of a homogeneously porous medium. 2. These Parameters can be evaluated by the proper analy~is of pressure buildup data ob~ained from adequately designed tests. 3. Since the build-up curve associated with this type of porous system is similar to that obtained from a stratified reservoir, an unambiguous interpretation is not possible without additional information. 4, Dif@rencing methods which utilize pressure data from the /inal stages of a buik-kp test should be used with extreme caution. INTRODUCTION In order to plan a sound exploitation program or a successful secondary-recovery pro ject, sufficient reliable information concerning the nature of the reservoir-fluid system must be available. Sincef it is evident chat an adequate description of the reservoir rock is necessary if this condition is to be fulfilled, the present investigation was undertaken for the purpose of improving the fluid-flow characterization, based on normally available data, ofs particular porous medium. DISCUSSION OF THE PROBLEM For many years it was widely assumed that, for the purpose of making engineering studies, two psram. . -. . Origlml manuscriptreceived fn eociaty of Petroleum Ertatneere offiae AUS. 17, 1962.Revieed manuscriptreceived.March21, 1963. P eper pr+$eented at the Fetl Meeting of the %ciot Y of. Petreleum Enginsera In Lo= Ar@Ies on Oct. 7-10, 1962. ‘ . GULF RESEARCH d DEVELOPMENT CO. PITTSBURGH, PA, eters were sufficient to desckibe the single-phase flow properties of a prodttcing formation, i.e., the absolute permeability and the effective porosity. It : later became evident that the concept of directional permeability was of more thin academic interest; consequently, the de$ee of permeability anisotropy and the orientation of the principal axes of permeability were accepted as basic parameters governing reservoir performance. 1,2 More recently, 3“6 it was recognized that at least one additional parameter was required to depict the behavior of a porous system containing region,s which contributed significantly to the pore volume but contributed negligibly to the flow capacity. Microscopically, these regions could be “dead-end” or “storage” pores or, microscopically, they could be discrete volumes of lowpermeability inatrix rock combined with natural fissures in a reservoir. It is obvious thst some provision for the ;.ncIusion of all the indicated parameters, as weIl as their spatial vstiations$ must be made if a truly useful, conceptual model of a reaetvoir is to be developed. A dichotomy Qf the internaI voids of reservoir rocks has been suggested, r~s These two classes of porosity can be described as follows: a. Primary porosity is intergranular and controlled by deposition and Iithification. It ie highly intercoririected arid “usually can be correlated with permeability since it is largely dependent on the geometry, size distribution and spatial distribution of the grains. The void systems of sands, sandstones and oolitic limestones are typical of this type. b. Secondary porosity is foramenular and is controlled by fracturing, jointing and/or solution in circulating water although it may be modified by infilling as a result of precipitation. It is not highly interconnected and usually cannot be correlated with permeability. Solution channels or vugular voids developed during weathering or buriaI in sedimentary basins are indigenous to carbonate rocks such as limestones or dolomites. Joints or fissures which occur in massive, extensive formations composed of shale, siltstone, schist, limestone or dolomite are generally vertical, and they are ascribed to tensional failure, during mechanical deformation (the permeability associated with this type of void system is often anisotropic). Shrinkage cracks are the result 1 ~ef&ence. aiven atendof p@er. ‘-

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ReportDOI
01 Nov 1999
TL;DR: This report is a self-contained guide to application of Tough2 to subsurface flow problems, and gives a technical description of the TOUGH2 code, including a discussion of the physical processes modeled, and the mathematical and numerical methods used.
Abstract: TOUGH2 is a numerical simulator for nonisothermal flows of multicomponent, multiphase fluids in one, two, and three-dimensional porous and fractured media. The chief applications for which TOUGH2 is designed are in geothermal reservoir engineering, nuclear waste disposal, environmental assessment and remediation, and unsaturated and saturated zone hydrology. TOUGH2 was first released to the public in 1991; the 1991 code was updated in 1994 when a set of preconditioned conjugate gradient solvers was added to allow a more efficient solution of large problems. The current Version 2.0 features several new fluid property modules and offers enhanced process modeling capabilities, such as coupled reservoir-wellbore flow, precipitation and dissolution effects, and multiphase diffusion. Numerous improvements in previously released modules have been made and new user features have been added, such as enhanced linear equation solvers, and writing of graphics files. The T2VOC module for three-phase flows of water, air and a volatile organic chemical (VOC), and the T2DM module for hydrodynamic dispersion in 2-D flow systems have been integrated into the overall structure of the code and are included in the Version 2.0 package. Data inputs are upwardly compatible with the previous version. Coding changes were generally kept to a minimum, and were only made as needed to achieve the additional functionalities desired. TOUGH2 is written in standard FORTRAN77 and can be run on any platform, such as workstations, PCs, Macintosh, mainframe and supercomputers, for which appropriate FORTRAN compilers are available. This report is a self-contained guide to application of TOUGH2 to subsurface flow problems. It gives a technical description of the TOUGH2 code, including a discussion of the physical processes modeled, and the mathematical and numerical methods used. Illustrative sample problems are presented along with detailed instructions for preparing input data.

1,597 citations

Journal ArticleDOI
TL;DR: In this paper, the authors analyze measurements, conceptual pictures, and mathematical models of flow and transport phenomena in fractured rock systems, including water flow, conservative and reactive solutes, and two-phase flow.

1,267 citations

Journal ArticleDOI
TL;DR: In this paper, a dual-porosity model was developed for the purpose of studying variably saturated water flow and solute transport in structured soils or fractured rocks, where water in both pore systems is assumed to be mobile.
Abstract: A one-dimensional dual-porosity model has been developed for the purpose of studying variably saturated water flow and solute transport in structured soils or fractured rocks. The model involves two overlaying continua at the macroscopic level: a macropore or fracture pore system and a less permeable matrix pore system. Water in both pore systems is assumed to be mobile. Variably saturated water flow in the matrix as well as in the fracture pore system is described with the Richards' equation, and solute transport is described with the convection-dispersion equation. Transfer of water and solutes between the two pore regions is simulated by means of first-order rate equations. The mass transfer term for solute transport includes both convective and diffusive components. The formulation leads to two coupled systems of nonlinear partial differential equations which were solved numerically using the Galerkin finite element method. Simulation results demonstrate the complicated nature of solute leaching in structured, unsaturated porous media during transient water flow. Sensitivity studies show the importance of having accurate estimates of the hydraulic conductivity near the surface of soil aggregates or rock matrix blocks. The proposed model is capable of simulating preferential flow situations using parameters which can be related to physical and chemical properties of the medium.

1,109 citations

Journal ArticleDOI
TL;DR: In this article, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible and immiscible displacement processes in reservoir rocks are reviewed and discussed, and two different modeling approaches to these phenomena are compared.
Abstract: In this paper, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible and immiscible displacement processes in reservoir rocks are reviewed and discussed. Both macroscopically homogeneous and heterogeneous rocks are considered. The latter are characterized by large-scale spatial variations and correlations in their effective properties and include rocks that may be characterized by several distinct degrees of porosity, a well-known example of which is a fractured rock with two degrees of porosity---those of the pores and of the fractures. First, the diagenetic processes that give rise to the present reservoir rocks are discussed and a few geometrical models of such processes are described. Then, measurement and characterization of important properties, such as pore-size distribution, pore-space topology, and pore surface roughness, and morphological properties of fracture networks are discussed. It is shown that fractal and percolation concepts play important roles in the characterization of rocks, from the smallest length scale at the pore level to the largest length scales at the fracture and fault scales. Next, various structural models of homogeneous and heterogeneous rock are discussed, and theoretical and computer simulation approaches to flow, dispersion, and displacement in such systems are reviewed. Two different modeling approaches to these phenomena are compared. The first approach is based on the classical equations of transport supplemented with constitutive equations describing the transport and other important coefficients and parameters. These are called the continuum models. The second approach is based on network models of pore space and fractured rocks; it models the phenomena at the smallest scale, a pore or fracture, and then employs large-scale simulation and modern concepts of the statistical physics of disordered systems, such as scaling and universality, to obtain the macroscopic properties of the system. The fundamental roles of the interconnectivity of the rock and its wetting properties in dispersion and two-phase flows, and those of microscopic and macroscopic heterogeneities in miscible displacements are emphasized. Two important conceptual advances for modeling fractured rocks and studying flow phenomena in porous media are also discussed. The first, based on cellular automata, can in principle be used for computing macroscopic properties of flow phenomena in any porous medium, regardless of the complexity of its structure. The second, simulated annealing, borrowed from optimization processes and the statistical mechanics of spin glasses, is used for finding the optimum structure of a fractured reservoir that honors a limited amount of experimental data.

946 citations

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