Numerical and Analytical Methods for the Analysis of Flow of Water Through Soils and Earth Structures

López-Acosta, Norma Patricia

doi:10.5772/63706

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…The Laplace equation can be solved by analytic solutions that are exact. However, their complexity and the limitation that solutions are available only for simple boundary conditions make this method less practical [50]. Numerical methods are widely used for solving these equations.…”

Section: Laplace Formulationmentioning

confidence: 99%

Interpolating Hydrologic Data Using Laplace Formulation

Merwade

Wang

2023

Remote Sensing

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Spatial interpolation techniques play an important role in hydrology, as many point observations need to be interpolated to create continuous surfaces. Despite the availability of several tools and methods for interpolating data, not all of them work consistently for hydrologic applications. One of the techniques, the Laplace Equation, which is used in hydrology for creating flownets, has rarely been used for data interpolation. The objective of this study is to examine the efficiency of Laplace formulation (LF) in interpolating data used in hydrologic applications (hydrologic data) and compare it with other widely used methods such as inverse distance weighting (IDW), natural neighbor, and ordinary kriging. The performance of LF interpolation with other methods is evaluated using quantitative measures, including root mean squared error (RMSE) and coefficient of determination (R2) for accuracy, visual assessment for surface quality, and computational cost for operational efficiency and speed. Data related to surface elevation, river bathymetry, precipitation, temperature, and soil moisture are used for different areas in the United States. RMSE and R2 results show that LF is comparable to other methods for accuracy. LF is easy to use as it requires fewer input parameters compared to inverse distance weighting (IDW) and Kriging. Computationally, LF is faster than other methods in terms of speed when the datasets are not large. Overall, LF offers a robust alternative to existing methods for interpolating various hydrologic data. Further work is required to improve its computational efficiency.

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Section: Laplace Formulationmentioning

confidence: 99%

Interpolating Hydrologic Data Using Laplace Formulation

Merwade

Wang

2023

Remote Sensing

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“…Dealing with soil or rockfill, which is generally heterogeneous and discontinuous in nature, approximate solutions are normally pursued [30]. The finite element method is a powerful tool for approximating complex field problems.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of the Effects of Toe Configuration on Throughflow in Rockfill Dams

Smith

Ravindra

Sigtryggsdóttir

2021

Water

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The rockfill toe structure situated within the downstream slope of rockfill dams is an integral part of a defense mechanism safeguarding the dam structure in throughflow situations. Recent studies have concluded that the rockfill toe structure can have significant impacts on throughflow development and stability of rockfill dams under scenarios of accidental throughflow caused by overtopping of the dam core. The ability to numerically model the effect of various toe configurations on flow through rockfill dams can support the design of effective toe drainage structures for rockfill dams. Development and calibration of a reliable numerical modeling tool in this regard has been challenging owing to lack of availability of extensive datasets from physical modeling investigations. This study further employs datasets gathered by a recent physical modeling study investigating the effects of various toe configurations on throughflow development in rockfill dam models. A commercial numerical seepage modeling tool with an option for non-Darcy flow was calibrated against the datasets with good calibration metrics. The study is novel in providing a rare report on the usage of this option. The calibrated tool can further be employed to carry out a wide array of simulations to arrive at an ideal design for a toe structure for rockfill dams and for assessment of hydraulic performance of toe structures.

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Numerical and Analytical Methods for the Analysis of Flow of Water Through Soils and Earth Structures

Cited by 2 publications

References 12 publications

Interpolating Hydrologic Data Using Laplace Formulation

Interpolating Hydrologic Data Using Laplace Formulation

Numerical Modeling of the Effects of Toe Configuration on Throughflow in Rockfill Dams

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