Darcys流作用下岩石破碎剥离的地质力学问题
Geo-mechanical aspects for breakage detachment of rock fines by Darcys flow
摘要：
多孔介质中悬浮胶体纳米输运包括碎屑微粒对抗静电吸引和自生微粒通过破碎从岩石表面脱离。虽然目前知道很多关于碎屑颗粒的脱离的基本机制，包括在孔隙尺度的脱离标准和其放大的核心规模，一个关键的差距存在，由于缺乏这种知识的自生罚款。将三维弹性圆柱体变形的Rehshenkos梁理论与基于CFD的颗粒粘性流动模型以及颗粒-岩石结合强度破坏准则相结合，提出了一种新的细颗粒孔隙尺度破碎剥离理论。断裂准则包括拉伸和剪切应力最大值的解析表达式以及两个几何图形，可以确定断裂应力。这导致一个明确的公式破碎流速。它的放大产生一个数学模型的罚款脱离破碎，表示在形式的最大保留浓度的附着的罚款与流速-最大保留功能（MRF）破碎。我们进行了岩心驱，分段恒定增加流量，测量突破浓度和压降的核心。的行为的测量数据是一致的两个人口胶体运输，归因于碎屑和自生的罚款迁移。事实上，实验室数据显示高匹配的解析模式的两个人口胶体运输，这验证了所提出的数学模型的罚款脱离破碎。
英文摘要：
Suspension-colloidal-nano transport in porous media encompasses the detachment of detrital fines against electrostatic attraction and authigenic fines by breakage, from the rock surface. While much is currently known about the underlying mechanisms governing detachment of detrital particles, including detachment criteria at the pore scale and its upscaling for the core scale, a critical gap exists due to absence of this knowledge for authigenic fines. Integrating 3D Timoshenkos beam theory of elastic cylinder deformation with CFD-based model for viscous flow around the attached particle and with strength failure criteria for particle-rock bond, we developed a novel theory for fines detachment by breakage at the pore scale. The breakage criterium derived includes analytical expressions for tensile and shear stress maxima along with two geometric diagrams which allow determining the breaking stress. This leads to an explicit formula for the breakage flow velocity. Its upscaling yields a mathematical model for fines detachment by breakage, expressed in the form of the maximum retained concentration of attached fines versus flow velocity -- maximum retention function (MRF) for breakage. We performed corefloods with piecewise constant increasing flow rates, measuring breakthrough concentration and pressure drop across the core. The behaviour of the measured data is consistent with two-population colloidal transport, attributed to detrital and authigenic fines migration. Indeed, the laboratory data show high match with the analytical model for two-population colloidal transport, which validates the proposed mathematical model for fines detachment by breakage.
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