You are cordially invited to the colloquium organized by the Department of Mathematics.
Speaker: Ali H. Doğru (Aramco Fellow)
“Numerical Solution of coupled highly nonlinear partial differential equations describing multi-phase multi-component compressible fluid flow in porous media, with industrial application to gigantic systems”
Abstract: Giant oil & gas fields provide significant energy for the world. Since these fields are located several kilometers under the earth crust, their production management and prediction of future performance is only handled by mathematical models running on supercomputers. These mathematical models consist of coupled nonlinear partial differential equations describing multi-phase multi-component compressible fluid flow in porous media. Mass conservation equations combined with the momentum balance are used to construct the mathematical model. In addition to the continuum equations, nonlinear thermodynamics constraint equations need to be solved simultaneously with the relevant boundary and initial conditions to achieve unique solution. In general, the number of unknowns per element can vary between 2 to 10, and in some cases 40.
This talk will cover choice of space and time discretization methods which yield stable and convergent and computationally fast solutions. Some large-scale applications will be discussed including CO2 sequestration using billions of computational elements and a fine grid multiphase simulation using nearly 400 billion elements on parallel computers on a supercomputer with 700,000 cores.
Date: Wednesday, 1 March 2023
Place: SA141 – Mathematics Seminar Room
Ali H. Dogru graduated from Istanbul Technical University in 1968. He received his PhD from the University of Texas at Austin in 1974. His academic experience covers the University of Texas at Dallas, California Institute of Technology, Norwegian Institute of Technology and Massachusetts Institute of Technology. He is a member of the U.S. National Academy of Engineering.
Aramco is the largest company in the world by market cap, as of 2022. Dr. Dogru leads a computational modeling team at Aramco that includes mathematicians, computational scientists and engineers in Boston and Dhahran. He has numerous patents and technical papers with several international awards.