Abstract

Under the possible hydrological conditions, with a design hyetograph of 3-month average rainfall intensities of Singapore, multiple regression equations on hydrological processes, specifically on overflow volume, average vertical ex-filtration rate and horizontal flow coefficient, of a soak-away rain garden are established based on simulated results of a mathematical model. The model that is based on Richard’s equation is developed using COMSOL Multiphysics. The regression equation on overflow volume and the regression equation on log of horizontal flow coefficient show a very strong relationship with the independent variables (saturated hydraulic conductivity of the filter media, saturated hydraulic conductivity of the in-situ soil, depth to groundwater table, and surface area of the soak-away rain garden). The coefficients of determination of the fitted equations on overflow volume and log of horizontal flow coefficient were 0.992 and 0.986, respectively. However, the regression equation on average vertical ex-filtration rate has high p-values (p-values > significance level, α = 0.01) for saturated hydraulic conductivity of the in-situ soil and surface area of the soak-away rain garden. Thus, forward stepwise regression was used to develop the best regression equation on average vertical ex-filtration rate with saturated hydraulic conductivity of the filter media and depth to groundwater table. The coefficient of determination of the fitted equation was found to be 0.911. These easy to use regression equations will be of great utility for local mangers in the design of soak-away rain gardens.

Highlights

  • In catchment hydrology, in practice it is not feasible to measure a desired hydrological variable for every possi-How to cite this paper: Mylevaganam, S., Chui, T.F.M. and Hu, J.Y. (2015) Multiple Regression Model of a Soak-Away Rain Garden in Singapore

  • To obtain the values for dependent variables, the simulation was carried out for different values of independent variables

  • X1, X2, X3, and X4, which are the independent variables of the regressed equation, are saturated hydraulic conductivity of the filter media, saturated hydraulic conductivity of the in-situ soil, depth to groundwater table measured from bottom of the filter media, and size of the soak-away rain garden, respectively

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Summary

Introduction

In practice it is not feasible to measure a desired hydrological variable for every possi-. This limitation, among others, has promoted the application of mathematical models, whose basic principle is the process of solving physical problems by appropriate simplification of reality, in the field of catchment hydrology, in ground and surface water hydrology, to solve many hydrological problems. There is a need to assess the likely hydrological impact of future system response It is the objective of this study to establish regression equations on hydrological processes, on overflow volume, average vertical ex-filtration rate and horizontal flow coefficient, of a soak-away rain garden, based on simulated results of a mathematical model using COMSOL Multiphysics [6] [7] under the possible hydrological conditions

Multiple Regression Equation
COMSOL Multiphysics
Methodology and Discussion of Results
Model Development in COMSOL Multiphysics
Development of Design Hyetograph
Findings
Discussion of Results
Conclusions

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