By Alexander H.-D. Cheng (auth.)
This e-book treats the mechanics of porous fabrics infiltrated with a fluid (poromechanics), focussing on its linear conception (poroelasticity). Porous fabrics from inanimate our bodies comparable to sand, soil and rock, dwelling our bodies similar to plant tissue, animal flesh, or man-made fabrics can glance very diverse as a result of their diverse origins, yet as readers will see, the underlying actual ideas governing their mechanical behaviors may be a similar, making this paintings suitable not just to engineers but additionally to scientists throughout different medical disciplines.
Readers will locate discussions of actual phenomena together with soil consolidation, land subsidence, slope balance, borehole failure, hydraulic fracturing, water wave and seabed interplay, earthquake aftershock, fluid injection precipitated seismicity and warmth brought about pore strain spalling in addition to discussions of seismoelectric and seismoelectromagnetic results. The paintings additionally explores the biomechanics of cartilage, bone and blood vessels.
Chapters current thought utilizing an intuitive, phenomenological strategy on the bulk continuum point, and a thermodynamics-based variational power process on the micromechanical point. The actual mechanisms lined expand from the quasi-static concept of poroelasticity to poroelastodynamics, poroviscoelasticity, porothermoelasticity, and porochemoelasticity. Closed shape analytical suggestions are derived in info.
This publication offers a great creation to linear poroelasticity and is mainly appropriate to these fascinated about civil engineering, petroleum and reservoir engineering, rock mechanics, hydrology, geophysics, and biomechanics.
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Additional info for Poroelasticity
In fact, this type of behavior can exist in the pumped aquifer as well. The Theis solution of groundwater ﬂow [13, 41] predicts that as pumping starts in a conﬁned aquifer, the head in the aquifer declines everywhere. Numerical simulation based on poroelasticity, however, shows that at a distance from the well, the head rises ﬁrst, before it falls [104, 272]. In Fig. 5 we provide a simple illustration of such a physical process, but in reversal—that is, rather than extracting from the aquifer, water is injected into it.
Drained and undrained conditions are well-known concept in soil mechanics [146, 239]. Consider a porous solid with connected interstitial space that is saturated with a liquid. We can wrap this specimen in an impermeable but ﬂexible membrane, and subject it to an all-around incremental compressive stress of magnitude P. If we insert a tube through the membrane to reach the inside of the specimen, we can measure a pore pressure rise p. This experimental setup is called undrained test because the ﬂuid is prevented from leaving the porous frame by the sealing membrane.
A theoretical proof of this is called the Hashin-Shtrikman bound , as mentioned in the above section. When a porous material fails, either by compression or shear, it is likely that the pore structure is destroyed ﬁrst, known as pore collapse , before the solid constituent fails. Furthermore, we can argue that it is not the change of pore volume alone, but the disproportional changes of pore volume versus solid volume that will cause the pore structure to fail. To visualize this, let us again construct a thought experiment using the example of an ideal porous medium submersed in a ﬂuid chamber.