变饱和裂隙多孔介质的双渗透率数值模型与参数分析

针对裂隙多孔介质中的变饱和流动与运移,分析了双渗透率数值模型的参数构成与计算特征。双渗透率模型由分别代表裂隙等效连续介质和孔隙介质的两组并列体积单元集合构成,用平均裂隙宽度和平均裂隙间距表达裂隙等效连续介质的参数,用裂隙单元与孔隙单元之间的有效作用面积、有效作用距离和有效渗透系数描述裂隙-孔隙相对流动和运移。裂隙-孔隙相互作用参数取决于概念模型,并与流体动态相关。计算分析表明,裂隙单元与孔隙单元之间的毛细力梯度与重力的共同作用决定裂隙流动、孔隙流动和裂隙-孔隙相对流动的相对大小,流体和溶质的动态受到裂隙宽度变化的显著影响。

模拟裂隙多孔介质中变饱和渗流的广义等效连续体方法

描述了一种计算裂隙多孔介质中变饱和渗流的广义等效连续体方法。这种方法忽略裂隙的毛细作用,设定一个与某孔隙饱和度相对应的综合饱和度极限值,并假定:(1)如果裂隙多孔介质的综合饱和度小于该极限值,水只在孔隙中存在并流动,而裂隙中则没有水的流动;(2)如果综合饱和度等于或大于该极限值,水将进入裂隙,并在裂隙内运动。分析比较了等效连续体模型的不同计算方法,并给出了一个模拟裂隙岩体中变饱和渗流与传热耦合问题的应用算例。结果表明,所述方法具有一般性,可以有效地模拟裂隙多孔介质中变饱和渗流的基本特征。

采用复合单元法模拟裂隙多孔介质变饱和流动

采用复合单元法建立了模拟裂隙多孔介质变饱和流动的数值模型。该模型具有以下特点:裂隙不需要离散成特定单元,而是根据几何位置插入到孔隙基质单元中形成复合单元;在复合单元中,分别建立裂隙流和孔隙基质流的计算方程,二者通过裂隙-基质界面产生联系并整合成复合单元方程;复合单元方程具有和常规有限单元方程相同的格式,因此,可以使用常规有限单元方程的求解技术。采用欠松弛迭代、集中质量矩阵以及自适应时步调节等技术,开发了裂隙多孔介质变饱和流动计算程序。通过模拟一维干土入渗和复杂裂隙含水层内的流动问题,验证了该模型的合理性和适用性。模拟结果为进一步认识非饱和裂隙含水层地下水流动特性提供了理论依据。

一种基于逾渗模型的裂隙岩石渗透系数确定方法

针对裂隙岩体提出了一种基于双重逾渗模型的渗流系数分析方法。通过变参数研究,考察了岩体中渗流和孔压分布的不均匀;根据裂隙长度的不同将岩体分为"孔隙控制"渗流模式和"裂隙控制"渗流模式。这种模型不仅能够同时考虑孔隙和裂隙的作用,而且在模拟大规模裂隙网络时更加快捷简便。

A unified theory for elastic wave propagation through porous media containing cracks-An extension of Biot's poroelastic wave theory

Rocks in earth＇s crust usually contain both pores and cracks. This phenomenon significantly affects the propagation of elastic waves in earth. This study describes a unified elastic wave theory for porous rock media containing cracks. The new theory extends the classic Biot＇s poroelastic wave theory to include the effects of cracks. The effect of cracks on rock＇s elastic prop- erty is introduced using a crack-dependent dry bulk modulus. Another important frequency-dependent effect is the ＂squirt flow＂ phenomenon in the cracked porous rock. The analytical results of the new theory demonstrate not only reduction of elas- tic moduli due to cracks but also significant elastic wave attenuation and dispersion due to squirt flow. The theory shows that the effects of cracks are controlled by two most important parameters of a cracked solid： crack density and aspect ratio. An appealing feature of the new theory is its maintenance of the main characteristics of Biot＇s theory, predicting the characteristics of Blot＇s slow wave and the effects of permeability on elastic wave propagation. As an application example, the theory cor- rectly simulates the change of elastic wave velocity with gas saturation in a field data set. Compared to Biot theory, the new theory has a broader application scope in the measurement of rock properties of earth＇s shallow crust using seismic/acoustic waves.