SOLVING THE PROBLEMS OF THE SUBMERGENCE IN URBAN CONSTRUCTION SPHERE

Abstract

Introduction. The submergence by underground water remains one of the problems in urban construction. It is also associated with the movement of groundwater under buildings and structures. Such processes are non-stationary and their calculation is complex. The paper begins the series of researches on the methodology for solving problems of filtering groundwater while protecting against flooding in urban construction by using an operator method. Oliver Heaviside began the practical application of mathematical operators for solving engineering problems. The operator method with Laplace transformations was used. It was shown how, with the help of the Internet and Maxima program, it is easy to make inverse Laplace transformations.Methods and materials. The author considered the decision on the submergence of the city road in the presence of a dome watering under asphalt pavement in the dirt road foundation. At the same time, for filtration problems of such type, the author took into account the compaction of the engineering zone of the soil under the road. The paper showed how to solve the complex non-stationary problem of spreading the dome of the flooding under the city road. The technology of the solution is presented not only with all the mathematical details of the operator method, but also provided with new physical representations. Such an original approach, by the author’s opinion, would help better understanding of the flooding process physics in urban construction. Moreover, it would allow solving problems of protection against flooding by a new, more efficient way, taking into account the real non-stationary processes of filtration of groundwater in built-up areas.Discussion. As a result, the author presents anew statement of the operator method for solving the submergence specific problem in urban construction. First, a specific example demonstrates how to use the Internet and the license-free Maxima program. In this case, the simplest case is taken, in the form of the electricity and filtration analogy. Then the author considers the filtration spreading of the domed man-made groundwater beneath the city road. Therefore, the paper demonstrates new solutions for non-stationary filtration of groundwater in the engineering zone, which are also compared with the world practice results.Conclusions. The author presents the methodology for solving unsteady groundwater filtration problems for the submergence protection in urban construction by using the operator method and Laplace transformations. Such decisions make it possible to obtain convenient engineering formulae, by which groundwater levels, substantiate practical solutions and measures for protection against submergence in urban construction could be found. The author intends to further development of such scientific ideas and solutions for submergence protection in the built-up areas.