主持人：王沫然

We discuss general 1D system for two-phase multicomponent flow in porous media. Using the Lagrangian coordinate instead of time allows separating thermodynamic equations with adsorption, dissolution in both phase and non-equilibrium chemical reactions from the hydrodynamic equation for saturation (so-called splitting). The splitting yields numerous new exact solutions for 1d displacement problems. The solutions are new in two ways: First, it accounts for the effects of capillary and viscous forces on the transport properties. Second, it contains the effects of non-equilibrium sorption and chemical reactions between n-components in aqueous solution. In particular, the system for low-salinity EOR accounts for ion exchange between aqueous (oleic) phase and clays. It is shown that for numerous dissipative and non-equilibrium systems, using the stream-function as a free variable instead of time splits the general (n+1)×(n+1) system of PDEs, into an n×n auxiliary system for thermodynamic parameters (component concentrations and sorption isotherms) and one scalar lifting equation for hydrodynamic variables (relative phase permeability).

In large scale approximation, where the dissipative and non-equilibrium effects are neglected, the system becomes hyperbolic. The continuous injection corresponds to Riemann problem. Injection of polymer/surfactant/low-salinity slug corresponds to waves interactions. In several cases, where the auxiliary system permits for analytical solution, the general problem is reduced to an analytical or semi-analytical solution of one scalar equation.

We present several exact solutions for displacement of oil by slugs of surfactants, polymers, low-salinity and ASP. Several examples from environmental, petroleum and chemical engineering with analytical models are also presented.

The exact solution of direct problem yields well-posed solution of the inverse problem. We present methods to determine relative phase permeability, sorption constants, ionic-exchange constants from laboratory corefloods.

Biography:

Pavel is Professor of Petroleum Engineering at the University of Adelaide. He authors a seminal book on reservoir engineering and 220 papers in international journals and SPE. His research covers waterflood, formation damage and EOR. He holds MSc in Applied Mathematics, PhD in Fluid Mechanics and DSc in Reservoir Engineering, all from Moscow Gubkin Oil-Gas University. In 1991-1994 Pavel was a Visiting Professor at Delft University of Technology and at Imperial College of Science and Technology. Since 1994 he is a Petrobras Staff Consultant. He boasts 40-year industrial experience in Russia, Europe, Brazil and Australia. He served as Section Chairman, short course instructor and Program Committee member at numerous SPE Conferences. Pavel is 2008-2009 and 2016-2017 SPE Distinguished Lecturer.