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).
|Publication status||Published - 2009|
|Event||8th 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 2009 → 27 Aug 2009
|Conference||8th World Congress of Chemical Engineering: Incorporating the 59th Canadian Chemical Engineering Conference and the 24th Interamerican Congress of Chemical Engineering|
|Period||23/08/09 → 27/08/09|