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4.7 Further reading 93
Equation (4.75) gives the subsidence caused by a surface load like a heavy building on,
for instance, a layer of clay. The subsidence will not be instantaneous, as we will see later,
but gradual, and equation (4.75) gives the maximum subsidence that can be achieved after
sufficiently long time.
4.7 Further reading
As already mentioned, the presentation of the compressibilities given here is based on
Zimmerman et al. (1986). The concept of effective stress goes back to Terzaghi and his
studies of compaction of soil (Terzaghi, 1925). Biot (1941) generalized the 1D effective
stress concept of Terzaghi to a 3D poroelastic model, which is introduced in Section 13.3.
Kümpel (1991) presents a short review of poroelasticity, and the alternative sets of poro-
elastic parameters. Wang (2000) gives a rigorous treatment of poroelasticity, the poroelastic
parameters, exact solutions of the poroelastic equations, applications and an introduction
to numerical solutions with the finite-element method.