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Example memory functions that can model diffusion in a matrix block
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Classroom Contents
Numerical Simulation of Fractured Reservoirs
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- 1 Intro
- 2 Fractures are the "highways" for flow and
- 3 fractured geological formations
- 4 The workhorse of applied fractured reservoir simulation: The dual-porosity model
- 5 Encapsulating fractures in a simulation model using the dual-porosity approach
- 6 The ingredients of the dual-porosity model
- 7 A key simulation challenge: Fractured formations do not have a well-defined REV
- 8 Calculating the effective permeability of a fracture network
- 9 Scale dependency of average permeability for one single fracture network
- 10 Scale-dependency of production forecast for a single fracture network
- 11 Opportunity for single-phase flow: A night out with a drunken Scotsman...?
- 12 Opportunity for single-phase flow: Probabilistic transport such as CTRW
- 13 Opportunities for multi-phase flow: Resolve fractured explicitly with unstructured grids
- 14 Modelling complex fractures and geological structures with unstructured grids
- 15 Honouring geometry of reservoir-scale faults and fractures with unstructured grids
- 16 Fast updating of fracture network with hierarchical or embedded fracture modelling
- 17 Taking stock: Where are we now... - Dual-porosity model remains the workhorse for applied Simulations of fractured reservoirs
- 18 Parameters driving spontaneous imbibition: Wettability, permeability, matrix surface area
- 19 Challenge: Non-uniform matrix saturation and under-prediction of transfer at early time
- 20 Opportunity: Use ideas from probabilistic solute transport modelling
- 21 Multi-rate dual-porosity modelling - simple in theory and practice
- 22 Opportunity: Revisit physics of spontaneous imbibition, a non-linear diffusion problem
- 23 Example memory functions that can model diffusion in a matrix block
- 24 analytical solution for spontaneous imbibition
- 25 Opportunity: Uncertainty quantification, clustering, model ranking, robust optimisation
- 26 Opportunity: Geomechanics for fractured reservoirs
- 27 Niels Bohr: Prediction is very difficult - especially about the future
- 28 Thank you!
