Calculation of the radius of influence with a specified error at transient filtration mode

A transient filtration mode leads to an increased load on drainage systems and can potentially violate the normal operating conditions of structures. The mode is yet to be investigated in science and methodology. Various methodologies used for calculating the key parameter of the transient filtration mode – the radius of influence of the depression cone – often fail to obtain the same values and to provide a means to determine the error in the calculations performed. A systematic review of scientific, regulatory and educational literature on the calculation of parameters in the transient filtration mode was carried out using general analysis and synthesis, as well as mathematical analysis. The results of the study described two main theoretical approaches for determining the radius of influence; however, neither of them takes into account the errors in the calculations performed. The authors of the present paper provide a mathematical justification for calculating the radius of influence with a specified error using information technologies.