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Inversion of lime mud and papermaking pulp filtration data to determine compressibility and permeability relationships

机译:反演石灰泥和造纸浆的过滤数据,以确定可压缩性和渗透率关系

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摘要

It is possible to obtain the porosity and permeability of filter cakes formed during cake filtration by fitting power law type relationships to experimental data. Specifically, local filtration data of the form of pressure and concentration profiles can be used to determine the constitutive relationships. However, when applied to data on the filtration of suspensions encountered in the pulp and paper industry, methods of minimization such as the Levenberg-Marquardt (LM) method fail to produce unique sets of model parameters repressening the constitutive relationships. Recourse to more sophisticated methods such as simulated annealing (SA) has to be made in order to obtain suitable global minima for describing wide ranging experimental data. In this paper, we chose experimental filtration data of pulp mill lime muds (essentially CaCO_3 particulate suspensions) r reported by 'Sep. Technol. 5 (1995) 165' to study the best means of obtaining robust parameter sets for use in the permeability and compressibility relationships. The efficacy of a heuristic algorithm based on SA over a st raight forward LM algorithm as applied to the filtration of lime muds and papermkaing pulps is demonstrated. A second example of constant pressure filtration of papermaking pulps reported by 'TAPPI 35 (1952) 439' was also chosen. The parameters in the permeability relationship for pulp mats consist of the specific surface area (hydrodynamic) and the specific volume of the papermaking fibers. By using the SA method, it is shown that these two parameters as well as the compressibility parameters could be determined directly.
机译:通过将幂律类型关系拟合到实验数据,可以获得滤饼过滤过程中形成的滤饼的孔隙率和渗透率。具体而言,压力和浓度分布图形式的局部过滤数据可用于确定本构关系。但是,当应用于制浆和造纸工业中遇到的悬浮液过滤数据时,最小化方法(例如Levenberg-Marquardt(LM)方法)无法产生独特的模型参数集,从而抑制了本构关系。为了获得合适的全局最小值来描述广泛的实验数据,必须采用更复杂的方法,例如模拟退火(SA)。在本文中,我们选择了'Sep.com报道的纸浆厂石灰泥(主要是CaCO_3颗粒悬浮液)的实验过滤数据。技术。 5(1995)165'研究了获得用于渗透率和压缩率关系的鲁棒参数集的最佳方法。证明了基于SA的启发式算法相对于直接向前LM算法的有效性,该算法应用于石灰泥和造纸浆的过滤。还选择了“ TAPPI 35(1952)439”报告的造纸纸浆恒压过滤的第二个例子。纸浆垫的渗透率关系参数由比表面积(流体力学)和造纸纤维的比容组成。通过使用SA方法,表明可以直接确定这两个参数以及可压缩性参数。

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