Theory of earth tide and barometric effects in porous formations with compressible grains

Theory of earth tide and barometric effects in porous formations with compressible grains
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DOI:
10.1029/wr019i002p00538
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发表时间:
1983-04
影响因子:
5.4
通讯作者:
G. Kamp;J. Gale
G. Kamp;J. Gale
中科院分区:
地球科学1区
文献类型:
--
作者:
G. Kamp;J. Gale

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一般三维方程的孔隙压力,应力和应变在一个均匀的多孔介质中的可压缩颗粒被用来推导表达式的流体压力的应力变化的响应,由于固体潮和气压载荷的影响。这一分析构成了对早期推导的概括。假定地层横向延伸很大,因此可以忽略水平流动。结果表明,孔隙水压力变化引起的垂向流可以用扩散方程来分析。导出了一个比贮系数的表达式,该表达式在水平变形可以忽略不计的情况下是有效的,并且包含了固体颗粒的可压缩性的影响。固体潮和气压效应的测量构成了两个现场测试散装地层属性。因此,这种测量可以对特定地层的水力和弹性特性的表征做出重要贡献。
The general three-dimensional equations for pore pressure, stress, and strain in a homogeneous porous medium with compressible grains are used to derive expressions for the response of fluid pressure to the stress changes due to earth tides and barometric loading effects. The analysis constitutes a generalization of earlier derivations. The formation is assumed to be of large extent laterally so that horizontal flow may be neglected. It is shown that vertical flow induced by the pore pressure changes can be analyzed by means of a diffusion equation. An expression for the specific storage coefficient is derived which is valid if horizontal deformations are negligible and which includes the effect of the compressibility of the solid grains. Measurements of earth tide and barometric effects constitute two in situ tests of bulk formation properties. Such measurements can therefore make an important contribution to the characterization of the hydraulic and elastic properties of a particular formation.