By Andrew W. Woods
Concentrating on simplified versions of actual stream procedures, this publication develops a chain of quantitative versions to explain the restoration of oil and gasoline from hydrocarbon reservoirs (including fracking), the physics of geo-sequestration of CO2, geothermal energy construction, and the opportunity of underground contaminant dispersal within the long term garage of nuclear waste. the writer methods those difficulties via constructing simplified mathematical types and settling on the main dimensionless variables that keep watch over the procedures. This research is then used to illustrate the demanding situations and constraints of modelling movement in advanced and heterogeneous rocks, which regularly have doubtful movement homes. Analytical strategies for flows are supplied the place attainable, and analogue laboratory experiments also are provided to assist illustrate and supply a distinct viewpoint at the flows. Incorporating end-of-chapter workouts, this can be an enormous advent to different controls on circulation in porous rocks for tutorial researchers, power execs and graduate scholars.
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Extra info for Flow in Porous Rocks: Energy and Environmental Applications
For a two-dimensional domain, find the velocity potential, φf and streamfunction ψ in the case that there is a uniform flow (u, v) = (U, 0) far upstream, x → −∞, and a point source which supplies two-dimensional flux Q at the origin. Calculate how far upstream, x < 0, the flow from the source advances before being arrested by the oncoming flow. Show that far downstream, x → ∞, the flux issuing from the source is located in the region −Q/2U < y < Q/2U. 4. A two-dimensional reservoir consists of two layers of permeable rock, each of thickness H and lateral extent L H, and of permeability k.
4. A two-dimensional reservoir consists of two layers of permeable rock, each of thickness H and lateral extent L H, and of permeability k. The layers are separated by an impermeable layer of shale, at y = 0, of thickness b H and permeability kb k, and the exterior of the flow domain, on the four surfaces y = H + b/2, y = −H − b/2, x = 0 and x = L are impermeable. A line source located in the region b/2 < y < H + b/2 at x = 0 has a pressure p + p while a sink, located at x = L and −H − b/2 < y < −b/2 has pressure p.
10b), in which a layer of sediment has been distorted following formation. Fluid migrating through such a rock would follow the tortuous pathway along the fold, within each of the flow-units in the formation. This would decrease the effective permeability of the rock and lead to a different pattern of flow streamlines than may be envisaged in a uniform homogeneous sand. 10c illustrates the presence of a large fold in one layer 15–20 m thick in a deposit in the Tabernas Basin in Spain. This fold involves a series of the individual depositional layers in the rock.