Seong H.
Seong H. Lee, Berkeley, CA US
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20090319242 | MULTI-SCALE METHOD FOR MULTI-PHASE FLOW IN POROUS MEDIA - A multi-scale method to efficiently determine the fine-scale saturation arising from multi-phase flow in a subsurface reservoir is disclosed. The method includes providing a simulation model that includes a fine-scale grid defining a plurality of fine-scale cells, and a coarse-scale grid defining a plurality of coarse-scale cells that are aggregates of the fine-scale cells. The coarse-scale cells are partitioned into saturation regions responsive to velocity and/or saturation changes from the saturation front. A fine-scale saturation is determined for each region and the saturation regions are assembled to obtain a fine-scale saturation distribution. A visual display can be output responsive to the fine-scale saturation distribution. | 12-24-2009 |
20110098998 | MULTISCALE FINITE VOLUME METHOD FOR RESERVOIR SIMULATION - A Multiscale Finite Volume (MSFV) method is provided to efficiently solve large heterogeneous problems; it is usually employed for pressure equations and delivers conservative flux fields to be used in transport problems. It relies on the hypothesis that the fine-scale problem can be described by a set of local solutions coupled by a conservative coarse-scale problem. In numerically challenging cases, a more accurate localization approximation is used to obtain a good approximation of the fine-scale solution. According to an embodiment, a method is provided to iteratively improve the boundary conditions of the local problems, and is responsive to the data structure of the underlying MSFV method and employs a Krylov-subspace projection method to obtain an unconditionally stable scheme and accelerate convergence. In one embodiment the MSFV operator is used. Alternately, the MSFV operator is combined with an operator derived from the problem solved to construct the conservative flux field. | 04-28-2011 |
Seong H. Lee, Berkley, CA US
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20100057413 | INDIRECT-ERROR-BASED, DYNAMIC UPSCALING OF MULTI-PHASE FLOW IN POROUS MEDIA - Computer-implemented systems and methods are provided for an upscaling approach based on dynamic simulation of a given model. A system and method can be configured such that the accuracy of the upscaled model is continuously monitored via indirect error measures. If the indirect error measures are bigger than a specified tolerance, the upscaled model is dynamically updated with approximate fine-scale information that is reconstructed by a multi-scale finite volume method. Upscaling of multi-phase flow can include flow information in the underlying fine-scale. Adaptive prolongation and restriction operators are applied for flow and transport equations in constructing an approximate fine-scale solution. | 03-04-2010 |
Seong H. Lee, Emeryville, CA US
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20080208539 | METHOD, APPARATUS AND SYSTEM FOR RESERVOIR SIMULATION USING A MULTI-SCALE FINITE VOLUME METHOD INCLUDING BLACK OIL MODELING - A multi-scale finite-volume (MSFV) method simulates nonlinear immiscible three-phase compressible flow in the presence of gravity and capillary forces. Consistent with the MSFV framework, flow and transport are treated separately and differently using a fully implicit sequential algorithm. The pressure field is solved using an operator splitting algorithm. The general solution of the pressure is decomposed into an elliptic part, a buoyancy/capillary force dominant part, and an inhomogeneous part with source/sink and accumulation. A MSFV method is used to compute the basis functions of the elliptic component, capturing long range interactions in the pressure field. Direct construction of the velocity field and solution of the transport problem on the primal coarse grid provides flexibility in accommodating physical mechanisms. A MSFV method computes an approximate pressure field, including a solution of a course-scale pressure equation; constructs fine-scale fluxes; and computes a phase-transport equation. | 08-28-2008 |