Thermal conductivity of fluid-saturated rocks
Thermal conductivity of fluid-saturated rocks
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DOI：
10.1016/0920-4105(89)90019-3
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发表时间：
1989-11
影响因子：
--
通讯作者：
R. Zimmerman
中科院分区：
文献类型：
--
作者：
R. Zimmerman
本文提出了一个预测流体饱和岩石导热系数的理论模型。岩石被理想化为由渗透有不相交的扁球形孔隙的连接矿物相组成。孔隙被假定为完全饱和的单相流体。一个有效的介质理论是用来预测的整体电导率的固相和流体相的电导率，孔隙率，和平均纵横比的球形孔。在孔隙是薄裂纹的极限情况下，预测的电导率与已知的（Hashin-Shtrikman）下限相一致，而球形孔隙的极限情况下再现的上限。该理论进行了测试，从各种沉积岩和结晶岩的实验数据，它被证明允许预测液体饱和电导率的气体饱和测量的基础上，而不需要任何任意的参数。该模型还提供了一个链接到其他岩石物理性质，取决于孔隙结构，如压缩性。
A theoretical model is presented for the prediction of the thermal conductivity of fluid-saturated rocks. Rock is idealized as being composed of a connected mineral phase permeated with non-intersecting oblate spheroidal pores. The pores are assumed to be completely saturated with a single-phase fluid. An effective medium theory is used to predict the overall conductivity in terms of the conductivities of the solid and fluid phases, the porosity, and an average aspect ratio of the spheroidal pores. In the limiting case where the pores are thin cracks, the predicted conductivity coincides with the known (Hashin-Shtrikman) lower bound, while the limiting case of spherical pores reproduces the upper bound. The theory is tested against the experimental data from various sedimentary and crystalline rocks, and it is shown to allow the prediction of liquid-saturated conductivities based on gas-saturated measurements, without the need for any arbitrary parameters. The model also provides a link to other petrophysical properties that depend on pore structure, such as compressibility.