Representative Element Modeling of Fracture Systems Based on Stochastic Analysis

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An important task associated with reservoir simulation is the development of a technique to model a large number of fractures with a single description. Representative elements must be developed before reservoir scale simulations can adequately address the effects of intersecting fracture systems on fluid migration. An effective element model will sharply reduce the cost and complexity of large scale simulations to bring these to manageable levels. Stochastic analysis is a powerful tool which can determine the hydraulic and transport characteristics of intersecting sets of statistically defined fractures. Hydraulic and transport characteristics are required to develop representative elements. Given an assumption ... continued below

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71-76

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Clemo, T.M. January 21, 1986.

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Description

An important task associated with reservoir simulation is the development of a technique to model a large number of fractures with a single description. Representative elements must be developed before reservoir scale simulations can adequately address the effects of intersecting fracture systems on fluid migration. An effective element model will sharply reduce the cost and complexity of large scale simulations to bring these to manageable levels. Stochastic analysis is a powerful tool which can determine the hydraulic and transport characteristics of intersecting sets of statistically defined fractures. Hydraulic and transport characteristics are required to develop representative elements. Given an assumption of fully developed laminar flow, the net fracture conductivities and hence flow velocities can be determined from descriptive statistics of fracture spacing, orientation, aperture, and extent. The distribution of physical characteristics about their means leads to a distribution of the associated conductivities. The variance of hydraulic conductivity induces dispersion into the transport process. The simplest of fracture systems, a single set of parallel fractures, is treated to demonstrate the usefulness of stochastic analysis. Explicit equations for conductivity of an element are developed and the dispersion characteristics are shown. The analysis reveals the dependence of the representative element properties on the various parameters used to describe the fracture system.

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71-76

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  • Proceedings, Eleventh Workshop Geothermal Reservoir Engineering, Stanford University, Stanford, California, January 21-23, 1986

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  • Report No.: SGP-TR-93-11
  • Grant Number: AS03-80SF11459
  • Grant Number: AS07-84ID12529
  • Office of Scientific & Technical Information Report Number: 887091
  • Archival Resource Key: ark:/67531/metadc874337

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  • January 21, 1986

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  • Sept. 21, 2016, 2:29 a.m.

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  • Feb. 16, 2017, 6:19 p.m.

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Clemo, T.M. Representative Element Modeling of Fracture Systems Based on Stochastic Analysis, article, January 21, 1986; Idaho Falls, Idaho. (digital.library.unt.edu/ark:/67531/metadc874337/: accessed December 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.