Abstract

The problem of the quantitative assessment and prediction of suffosion-induced subsidence in saline soils and sediments is relevant for irrigation, washing of saline soils, and increasing amounts of domestic and industrial effluents. Based on the solution of the convective diffusion equation and taking into account the dissolution of salts of the solid phase, the presented mathematical analytical model can be used to solve both the direct problem of predicting desalinization of the soil profile and finding the soil washing rate and time required for washing of a given thickness of soil to a certain salinity level and the inverse problem of determining the hydrodynamic dispersion parameter and the diffusivity. This model is based on the concept of the average integral value of the concentration of soil solution (i.e., its average concentration in the entire calculated soil profile, but not in separate discrete layers) and the corresponding method for determining the dissolution rate of the salts in the solid phase of soils and sediments, which makes it possible to quantitatively calculate and predict the suffosion-induced compaction and subsidence of soils and dispersed sediments. Taking into account the ongoing processes in the real time, an analytical procedure was developed for finding the dissolution rate of salts. The suggested analytical solution of the convective–diffusive salt transfer can be applied to predict the redistribution of salts over time in water-saturated soil profile with surface salinization and deep groundwater table.

中文翻译：

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盐渍土洗涤过程中化学窒息的解析数学模型

摘要

盐渍土和沉积物中窒息诱发沉陷的定量评估和预测问题与灌溉，盐渍土的洗涤以及家庭和工业废水的数量增加有关。基于对流扩散方程的解，并考虑到固相盐的溶解，提出的数学分析模型可用于解决预测土壤剖面脱盐和寻找土壤冲刷速率的直接问题。将给定厚度的土壤洗至一定盐度所需的时间，以及确定水动力分散参数和扩散率的反问题。该模型基于土壤溶液浓度的平均积分值（即 其在整个计算出的土壤剖面中的平均浓度，而不是在单独的离散层中的平均浓度）以及确定盐在土壤和沉积物固相中的溶解速率的相应方法，这使得可以定量计算和预测窒息-引起土壤和分散沉积物的压实和沉降。考虑到实时正在进行的过程，开发了一种分析程序来查找盐的溶解速率。对流-扩散盐转移的建议分析解决方案可用于预测盐分在表面饱和盐分和深层地下水位下随时间的再分布。而不是在单独的离散层中）和确定盐在土壤和沉积物固相中的溶解速率的相应方法，这使得可以定量计算和预测由窒息引起的土壤和分散沉积物的压实和沉降。考虑到实时正在进行的过程，开发了一种分析程序来查找盐的溶解速率。对流-扩散盐转移的建议分析解决方案可用于预测盐分在表面饱和盐分和深层地下水位下随时间的再分布。而不是在单独的离散层中）和确定盐在土壤和沉积物固相中的溶解速率的相应方法，这使得可以定量计算和预测由窒息引起的土壤和分散沉积物的压实和沉降。考虑到实时正在进行的过程，开发了一种分析程序来查找盐的溶解速率。对流-扩散盐转移的建议分析解决方案可用于预测盐分在表面饱和盐分和深层地下水位下随时间的再分布。这使得可以定量计算和预测由窒息引起的土壤和分散沉积物的压实和沉陷。考虑到实时正在进行的过程，开发了一种分析程序来查找盐的溶解速率。对流-扩散盐转移的建议分析解决方案可用于预测盐分在表面饱和盐分和深层地下水位下随时间的再分布。这使得可以定量计算和预测由窒息引起的土壤和分散沉积物的压实和沉陷。考虑到实时正在进行的过程，开发了一种分析程序来查找盐的溶解速率。对流-扩散盐转移的建议分析解决方案可用于预测盐分在表面饱和盐分和深层地下水位下随时间的再分布。