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{{Unreferenced|date=May 2009}}'''Overburden pressure''', also called '''lithostatic pressure''', '''confining pressure''' or '''vertical stress''', is the [[pressure]] or [[stress (physics)|stress]] imposed on a layer of [[soil]] or [[Rock (geology)|rock]] by the weight of overlying material.
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The overburden pressure at a depth z is given by
 
:<math>p(z) = p_0 + g \int_{0}^{z} \rho(z)  \, dz</math>
 
where &rho;(z) is the [[density]] of the overlying rock at depth z and g is the [[Standard gravity|acceleration due to gravity]].  p<sub>0</sub> is the [[datum (geodesy)|datum]] pressure, like the pressure at the surface.
 
It may be noted that the above equation implies that gravitational acceleration is a constant over z since it is placed outside of the integral.  Strictly speaking, for almost all boundary conditions, g should appear inside the integrand since g is a function of the distance from mass. However, since g varies little over depths which are a very small fraction of the Earth's radius, it is placed outside of the integral in practice for most near-surface applications which require an assessment of lithostatic pressure. In deep-earth geophysics/geodynamics, gravitational acceleration varies significantly over depth, demanding that g be taken, at least, as a function of depth.
 
==See also==
*[[Sedimentary rock]]
*[[Effective stress]]
*[[Pore water pressure]]
 
{{Geotechnical engineering}}
 
[[Category:Geophysics]]
[[Category:Soil mechanics]]
 
{{Geology-stub}}
{{civil-engineering-stub}}

Revision as of 14:25, 13 February 2014

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