强胶体凝胶间歇沉降过程中壁面粘附效应的校正
Correction of Wall Adhesion Effects in Batch Settling of Strong Colloidal Gels
AI总结：
针对强絮凝胶体悬浮液间歇沉降试验中壁面粘附效应导致流变参数估算误差大、现有校正方法复杂的问题，提出一种简化的一维粘塑性近似方法，推导解析表达式以实现压缩屈服强度和壁面粘附强度的可靠估算。
摘要：
间歇沉降试验被广泛用于估算强絮凝胶体悬浮液的压缩流变学特性，尤其是压缩屈服强度和水力渗透率。近期研究发现，这类试验中的壁面粘附效应可能远大于此前的认知，会给这些流变函数的估算带来无界误差。虽已有研究开发出求解底层静态问题并校正壁面粘附效应的方法，但该方法相当复杂繁琐，需要求解强胶体凝胶的二维超弹性本构模型。本文针对该超弹性模型提出了一种高度简化的一维粘塑性近似方法，可推导出平衡固相浓度分布和床层高度的解析表达式。这些表达式能够在存在微小测量误差的情况下，通过对实验数据进行非线性回归，可靠地估算压缩屈服强度和壁面粘附强度。
英文摘要：
The batch settling test is widely used to estimate the compressive rheology of strongly flocculated colloidal suspensions, in particular the compressive yield strength and hydraulic permeability. Recently it has been discovered that wall adhesion effects in these tests may be significantly greater than previously appreciated, which can introduce unbounded errors in the estimation of these rheological functions. Whilst a methodology to solve the underlying static problem and correct for wall adhesion effects has been developed, this method is quite complex and unwieldy, involving solution of a 2D hyper-elastic constitutive model for strong colloidal gels. In this paper we develop a highly simplified 1D visco-plastic approximation to the hyper-elastic model which admits analytic expressions for the equilibrium solids concentration profile and bed height. These expressions facilitate robust estimation of the compressive yield and wall adhesion strength via nonlinear regression of experimental data in the presence of small measurement errors.
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