A nonlinear model for fluid flow in a multiple-zone composite reservoir including the quadratic gradient term

Autor:	Ren-Shi Nie, Quan-Hua Huang, Xiao-Lu Wang, Xiang-Yu Fan, Yong-Ming He
Rok vydání:	2013
Předmět:	Laplace transform Series (mathematics) Mathematical analysis Linear model Geology Management Monitoring Policy and Law Industrial and Manufacturing Engineering Term (time) Nonlinear system Geophysics Quadratic equation Control theory Fluid dynamics Pressure gradient Mathematics
Zdroj:	Journal of Geophysics and Engineering. 10:045009
ISSN:	1742-2140 1742-2132
DOI:	10.1088/1742-2132/10/4/045009
Popis:	Based on material balance and Darcy's law, the governing equation with the quadratic pressure gradient term was deduced. Then the nonlinear model for fluid flow in a multiple-zone composite reservoir including the quadratic gradient term was established and solved using a Laplace transform. A series of standard log–log type curves of 1-zone (homogeneous), 2-zone and 3-zone reservoirs were plotted and nonlinear flow characteristics were analysed. The type curves governed by the coefficient of the quadratic gradient term (β) gradually deviate from those of a linear model with time elapsing. Qualitative and quantitative analyses were implemented to compare the solutions of the linear and nonlinear models. The results showed that differences of pressure transients between the linear and nonlinear models increase with elapsed time and β. At the end, a successful application of the theoretical model data against the field data shows that the nonlinear model will be a good tool to evaluate formation parameters more accurately.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f7b28d45224a9cf306e3a5b1c5cdfcaa https://doi.org/10.1088/1742-2132/10/4/045009 Zobrazit plný text záznamu