No abstract

Abstract. In this research, a new three-dimensional limit equilibrium method was developed. In the proposed method, the slip surface was assumed to be spherical and slices were assumed along the slip surface radius converging to a point. Moreover, force and moment equilibrium equations were used. In order to calculate Factor of Safety (FS) with the proposed method, a code was developed for two-and three-dimensional states. The model used the iteration (trial and error) method to simultaneously satisfy force and moment equilibrium equations. In order to ensure convergence of the numerical model developed in the three-dimensional state, the under-relaxation method was used in the trial and error operations. In examples, the value of FS obtained by the proposed method was 2.5 to 12 percent higher than those obtained by the other methods. In order to validate the proposed method and assess the functionality of the three-dimensional numerical model, a few examples were solved under di erent circumstances; the results were properly compliant with the results of other methods.

Public supply wells are commonly considered one of the most significant sources of freshwater on Earth. Therefore, potential well water contamination can conceivably be regarded as a crucial issue that is closely correlated with both environmental protection and water demand. In the present study, a three-dimensional numerical model is developed to simulate unsteady and spatially varying groundwater flow, along with contaminant migration. Besides, the proposed model is capable of investigating well water quality by the change of the wells’ pumping rates. The developed model uses a finite-volume time splitting numerical technique to solve governing groundwater flow and soluble contaminant transport equations. Comparison of the numerical simulation results with analytical solutions, as well as experimental and field data, clearly demonstrates the satisfactory performance of the present model. The fundamental aim of the study is to evaluate the effect of pumping rate and its variations on pollution migration through saturated porous media. To meet this purpose, contaminant concentrations and contaminants’ travel time were studied under different pump flow rate conditions. The modeling results revealed that choosing an optimum range for the pumping rate increases contaminant travel time and reduces aquifer vulnerability.

No abstract

No abstract