eprintid: 5284
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/52/84
datestamp: 2023-11-09 16:17:00
lastmod: 2023-11-09 16:17:00
status_changed: 2023-11-09 16:01:11
type: article
metadata_visibility: show
creators_name: Habte, A.D.
creators_name: Onur, M.
title: Laplace-transform finite-difference and quasistationary solution method for water-injection/falloff tests
ispublished: pub
keywords: Finite difference method; Laplace transforms; Non Newtonian flow; Oil wells, Black-oil simulators; Compressible fluids; Finite difference approximations; Initial boundary value; Oil/water two phase flows; Pressure derivatives; Stability and convergence; Time discretization, Two phase flow
note: cited By 20
abstract: In this work, we present a method for efficiently and accurately simulating the pressure-transient behavior of oil/water flow associated with water-injection/falloff tests. The method uses the Laplace-transform finite-difference (LTFD) method coupled with the well-known Buckley-Leverett frontal-advance formula to solve the radial diffusivity equation describing slightly compressible oil/water two-phase flow. The method is semianalytical in time, and as a result, the issue of time discretization in the finite-difference approximation method is eliminated. Thus, stability and convergence problems caused by time discretization are avoided. Two approaches are presented and compared in terms of accuracy for simulating the tests with multiple-rate injection and falloff periods: One is based on solving the initial-boundary- value (IVB) problem with the initial condition attained from the end of the previous flow period, and the other is based on the conventional superposition on the basis of the single-phase flow of a slightly compressible fluid. The former is shown to always provide a more accurate and efficient solution. The method is quite general in that it allows one to incorporate the effect of wellbore storage and thick-skin and finite outer-boundary conditions. The accuracy of the method was evaluated by considering various synthetic test cases with favorable and unfavorable mobility ratios and by comparing the pressure and pressure-derivative signatures with a commercial black-oil simulator, and an excellent agreement was seen. Copyright © 2014 Society of Petroleum Engineers.
date: 2014
publisher: Society of Petroleum Engineers (SPE)
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84903473814&doi=10.2118%2f168221-PA&partnerID=40&md5=f027f8311b1d9f43c42c0167155a7f63
id_number: 10.2118/168221-PA
full_text_status: none
publication: SPE Journal
volume: 19
number: 3
pagerange: 398-409
refereed: TRUE
issn: 1086055X
citation:   Habte, A.D. and Onur, M.  (2014) Laplace-transform finite-difference and quasistationary solution method for water-injection/falloff tests.  SPE Journal, 19 (3).  pp. 398-409.  ISSN 1086055X