Abstract The article outlines the formulation of the general mathematical problem of underground water iron removal using rapid filters. The process reflects Fe existence in two forms and mechanical states, describes a complex of mode-forming processes (mass transfer, filtration, adsorption, deposition, oxidation, hydration, consolidation), takes into account the limited absorption resource of the filter medium and its consequences, fresh deposit activity. The autocatalytic effect was estimated based on a local task of Fe removal at inlet section of a filter medium. Correction coefficients to account for the effect were introduced. The exact solution of the basic task was obtained without autocatalysis. It was generalized using the indicated coefficients mentioned before. A great number examples are provided to prove the precedence of the development of a rational algorithm of iron removal to control head losses, using own and numerous publications.

中文翻译：

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快速过滤器从地下水中物理化学除铁的数学模型

摘要 本文概述了使用快速过滤器去除地下水铁的一般数学问题的表述。该过程反映了 Fe 以两种形式和机械状态存在，描述了一个复杂的模式形成过程（传质、过滤、吸附、沉积、氧化、水合、固结），考虑了过滤介质的有限吸收资源及其结果，新的存款活动。自催化效果是基于过滤介质入口部分的局部除铁任务来估计的。引入了解释影响的校正系数。基本任务的精确解是在没有自催化的情况下获得的。它使用前面提到的指示系数进行了概括。