The workhorse of applied fractured reservoir simulation: The dual-porosity model
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Encapsulating fractures in a simulation model using the dual-porosity approach
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The ingredients of the dual-porosity model
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A key simulation challenge: Fractured formations do not have a well-defined REV
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Calculating the effective permeability of a fracture network
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Scale dependency of average permeability for one single fracture network
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Scale-dependency of production forecast for a single fracture network
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Opportunity for single-phase flow: A night out with a drunken Scotsman...?
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Opportunity for single-phase flow: Probabilistic transport such as CTRW
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Opportunities for multi-phase flow: Resolve fractured explicitly with unstructured grids
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Modelling complex fractures and geological structures with unstructured grids
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Honouring geometry of reservoir-scale faults and fractures with unstructured grids
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Fast updating of fracture network with hierarchical or embedded fracture modelling
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Taking stock: Where are we now... - Dual-porosity model remains the workhorse for applied Simulations of fractured reservoirs
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Parameters driving spontaneous imbibition: Wettability, permeability, matrix surface area
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Challenge: Non-uniform matrix saturation and under-prediction of transfer at early time
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Opportunity: Use ideas from probabilistic solute transport modelling
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Multi-rate dual-porosity modelling - simple in theory and practice
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Opportunity: Revisit physics of spontaneous imbibition, a non-linear diffusion problem
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Example memory functions that can model diffusion in a matrix block
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analytical solution for spontaneous imbibition
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Opportunity: Uncertainty quantification, clustering, model ranking, robust optimisation
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Opportunity: Geomechanics for fractured reservoirs
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Niels Bohr: Prediction is very difficult - especially about the future
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Thank you!
Description:
Explore numerical simulation techniques for fractured reservoirs in this comprehensive lecture from the Society for Industrial and Applied Mathematics. Delve into the dual-porosity model, the workhorse of applied fractured reservoir simulation, and learn how to encapsulate fractures in simulation models. Examine the challenges of scale dependency in fractured formations and discover opportunities for single-phase and multi-phase flow modeling. Investigate advanced topics such as unstructured grids for complex fractures, multi-rate dual-porosity modeling, and spontaneous imbibition physics. Gain insights into uncertainty quantification, geomechanics, and the future of fractured reservoir simulation. Enhance your understanding of this critical aspect of reservoir engineering and applied mathematics.