How to deal with nonlinearities in the modeling of complex subsurface processes?
a cargo de: Denis Voskov (TU Delft)
Día: Jueves 10 de Mayo a las 12:15 h
Lugar: Departamento de Ingeniería Civil y Ambienta, Modulo D2-Aula CIHS, Planta Baja
The nonlinear nature of complex flow and transport in porous media requires a linearization of governing equations for the numerical solution. In my talk, I will describe two flexible and efficient techniques for the linearization and present results from two different simulation codes based on these techniques. The first technique is based on automatic differentiation approach, which was adapted for reservoir simulation in our Automatic Differentiation General Purpose Research Simulator (ADGPRS) developed at Stanford. The current version of ADGPRS supports coupled thermal-compositional-mechanics processes for naturally fractured media with various schemes of nonlinear coupling. Recently, this framework was extended for fracture propagation which I will describe in more details. The second simulation code Delft Advanced Research Terra Simulator (DARTS) is based on a recently proposed linearization strategy, capable to deal with complex nonlinear problems. This approach approximates exact physics of simulation model which is conceptually similar to an approximate representation of space and time discretization performed in conventional simulation. I present a resolution study in parameter space for highly heterogeneous reservoirs and different physical kernels including complex thermal-compositional description. The proposed linearization approach can also serve as an initial step in creating of physics-based data-driven proxy-models for complex subsurface processes. I will discuss ongoing developments and possible extensions of the proposed methodology as well as other research directions in our group.
Bio: Dr. Voskov is an Associate Professor at TU Delft. He received his PhD degree in Applied Mathematics from Gubkin’s Russian University of Oil and Gas in 2002. Dr. Voskov former positions include: senior researcher at Stanford University, founder and Chief Technology Officer of Rock Flow Dynamics company, chief engineer at YUKOS EP company, and leading engineer-mathematician at the Institute for Problems in Mechanics within the Russian Academy of Sciences.