Modeling of placement of multiple fluids of different rheology into a fracture

A. Lakhtvchkin, O. Vinogradov, D. Eskin

Research output: Contribution to conferencePaperpeer-review

Abstract

Hydraulic fracturing technology is one of the most popular and efficient methods of oil and gas reservoir simulation. A prospective technology involves consequent pumping of several different immiscible hydrauhc fracturing fluids. A mathematical model was developed to describe propagation of these fluids inside an opening fracture. Mathematically, the problem was reduced to solving the time-dependent 2D second order non-linear PDE at every time step in a non- rectangular domain with moving boundaries. A small parameter method was used to linearize the equation, and the number of iterations needed was controlled by the required accuracy. To solve the PDE for the pressure distribution the Finite Difference Method of the second order was used. An appropriate method of interface tracking was used. The numerical solution for power law fluids was obtained. This is an abstract of a paper presented at the 8th World Congress of Chemical Engineering (Montreal, Quebec, Canada 8/23-27/2009).

Original languageEnglish
Pagesnopagegiven
Publication statusPublished - 2009
Externally publishedYes
Event8th World Congress of Chemical Engineering: Incorporating the 59th Canadian Chemical Engineering Conference and the 24th Interamerican Congress of Chemical Engineering - Montreal, QC, Canada
Duration: 23 Aug 200927 Aug 2009

Conference

Conference8th World Congress of Chemical Engineering: Incorporating the 59th Canadian Chemical Engineering Conference and the 24th Interamerican Congress of Chemical Engineering
Country/TerritoryCanada
CityMontreal, QC
Period23/08/0927/08/09

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