Abstract Mudcake buildup has a direct impact on expensive drilling and production problems, such as wellbore instability, pipe sticking, formation damage, and impairment of wellbore logging interpretation. Therefore, a better understanding of filtration and mudcake buildup is very valuable. This paper presents a predictive filtration model that accounts for the mudcake compressibility and captures non-uniform filtercake properties profiles. The model solves for the effective stresses acting across the mudcake thickness, based on which mudcake properties profiles are calculated. The mudcake is modeled as a stack of thin sub-layers, with each having its own properties. The porosity and permeability relations with effective stress are determined using the Odometer test, which is analyzed based on Terzaghi's theory for 1D consolidation. A detailed derivation of the model's equations is presented. Also, a computationally efficient pseudo-code solving the model's equations is suggested. Finally, the derived model is validated using experimental filtration results.

中文翻译：

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考虑泥饼可压缩性和非均匀特性剖面的预测过滤模型

摘要 泥饼堆积直接影响昂贵的钻井和生产问题，例如井眼不稳定、卡管、地层损坏和井眼测井解释障碍。因此，更好地了解过滤和泥饼堆积是非常有价值的。本文提出了一种预测过滤模型，该模型考虑了泥饼可压缩性并捕获了不均匀的滤饼特性曲线。该模型求解作用在泥饼厚度上的有效应力，并根据泥饼特性曲线进行计算。泥饼被建模为一叠薄的子层，每个子层都有自己的属性。孔隙度和渗透率与有效应力的关系是使用里程计测试确定的，该测试基于 Terzaghi 的一维固结理论进行分析。给出了模型方程的详细推导。此外，还建议使用计算效率高的伪代码来求解模型方程。最后，使用实验过滤结果验证导出的模型。