Files in this item

FilesDescriptionFormat

application/pdf

application/pdfTANEJA-DISSERTATION-2017.pdf (5MB)
(no description provided)PDF

video/mp4

video/mp4fig_5-10a.mp4 (911kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-10b.mp4 (932kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-10c.mp4 (907kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-15.mp4 (962kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-16.mp4 (1MB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-17.mp4 (1MB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-18.mp4 (1MB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-19.mp4 (986kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-20.mp4 (995kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-21.mp4 (1MB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-23a.mp4 (820kB)
(no description provided)MPEG-4 video

video/mp4

video/mp4fig_5-23b.mp4 (842kB)
(no description provided)MPEG-4 video

Description

Title:Development of a high-order accurate reservoir simulator using spectral element method
Author(s):Taneja, Ankur
Director of Research:Higdon, Jonathan
Doctoral Committee Chair(s):Higdon, Jonathan
Doctoral Committee Member(s):Sing, Charles; Fischer, Paul; Tortorelli, Daniel
Department / Program:Chemical & Biomolecular Engr
Discipline:Chemical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Discontinuous galerkin method
Spectral element method
Reservoir simulation
Reservoir management
Abstract:Reservoir simulation serves as an important tool for reservoir management to predict and optimize the future performance of a reservoir. Modeling multiphase fluid flow in porous media can be computationally challenging due to heterogeneous geologic features and sharp, moving fluid interfaces. Low-order convergence of conventional reservoir simulators, often based on finite volume or finite element methods, can be computationally prohibitive to fully resolve the physics of flows with sharp fronts. A high-order numerical scheme with strong stability properties and robustness to accurately resolve the physics of reservoir flows is thus highly desirable. The current research work focuses on the case of two-phase immiscible, incompressible fluid flow in oil reservoirs and seeks to develop a high-order accurate numerical scheme. Governing equations for two-phase incompressible flow in porous media, derived in terms of pressure p and saturation s, are a coupled system of partial differential equations (PDEs) with elliptic-parabolic nature in general. Under certain conditions, the governing equations can become elliptic-hyperbolic in nature. Computational challenges in numerically solving PDEs with discontinuous solutions or discontinuous data are identified and various numerical schemes reviewed for meeting desired goals of accuracy and stability. In particular, numerical comparisons are given for convective hyperbolic PDEs using (a) a first-order upwind finite volume method, (b) a hybrid 1st/2nd order Jameson-Schmidt-Turkel scheme, (c) explicit Runge-Kutta Discontinuous Galerkin method of Cockburn and Shu, and (d) an implicit Discontinuous Galerkin method. Based on the conclusions drawn from these schemes, a fully coupled implicit Discontinuous Galerkin spectral element method (DGSEM) is proposed to solve the two non-linear governing equations in pressure and saturation. The proposed DGSEM scheme is capable of using high-order spectral elements and controlled amount of artificial diffusion to achieve stable, robust numerical solutions. Spectral/hp-convergence of DGSEM scheme is demonstrated for quarter five-spot pattern flow in homogeneous reservoirs. Superior performance capabilities of the DGSEM scheme in resolving heterogeneous geologic features are demonstrated. A novel approach for using volumetric source terms for injection/production wells on spectral element grids not required to be conforming with geometric or geologic features is presented. Numerical results are presented for simulations with different types of geologic heterogeneities and injection/production patterns for 2D reservoirs.
Issue Date:2017-01-09
Type:Thesis
URI:http://hdl.handle.net/2142/97245
Rights Information:Copyright 2017 Ankur Taneja
Date Available in IDEALS:2017-08-10
Date Deposited:2017-05


This item appears in the following Collection(s)

Item Statistics