Analytical evaluation of hydrodynamic pressure distribution produced by dam-reservoir interaction
Because of the dam's importance, it is critical to pay close attention to its seismic stability while building a dam, especially in seismically active locations, because a dam's failure could inflict catastrophic damage downstream. In order to generate a dynamic interaction between the dam and the water reservoir, the influence of the reservoir's presence and the boundary conditions associated to it must be considered for the dam's dynamic analysis. The hydrodynamic pressure created by the interaction between the dam and the reservoir is one of the effective aspects in optimal dam design for seismic zones. Predicting the behavior of concrete dams during an earthquake is one of the most difficult structural dynamics problems. Furthermore, the strong forces generated endanger the dam. The dynamic behavior and solution of the dynamic equations governing dam motion and hydrodynamic pressure are coupled and not independent of the fluid environment. The percentage of calculation errors is reduced when pressure equations are solved using accurate and analytical methods. Navirastokes equations, continuity, and the relationship between velocity and velocity potential function are used to derive the Helmholtz equation. Among the important assumptions considered in this article are the solidity of the tank bottom regardless of surface waves and the fluid's non-viscous nature. Helmholtz's equation becomes Laplace's equation when the fluid is assumed to be incompressible and Euler's method is used. Meanwhile, if the aforementioned properties are not properly checked and applied in accordance with the conditions of the desired model, the nature of the problem will change and numerous errors will be generated. The obtained results are the required length for complete depreciation of the pressure wave propagation and the appropriate location for the range cutoff, which were simulated using MATLAB software and the results were extracted.
