Modeliranje dinamike pražnjenja kišnih vrtova primjenom Green-Ampt modela

The paper presents a relatively simple calculation procedure for modeling the drainage dynamics of rain gardens, i.e. adequately designed infiltration surfaces that are used in urbanized areas for the temporary retention of rainwater. To that end, it is necessary to quantify the infiltration of water into the porous soil, which in general can be very demanding because the hydraulic process in question is described by Richards' partial differential equation, the numerical integration of which is a very challenging task (due to the nonlinearity between the hydraulic conductivity and the degree of saturation determined by its solution). At the same time, relying on several working assumptions stated in the paper, the mathematical description of the subject process can be reduced to the solution of one non-linear algebraic equation, which then creates a relatively simple calculation procedure that can be applied in everyday professional work (if the introduced assumptions can be justified). The calculation procedure is reduced to the integration of Darcy's law, which leads to the Green-Ampt model. The paper presents the argumentation for the aforementioned, calculation procedure intended for practical work, and also offers a numerical example.

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Publication Details

Journal
Zbornik radova
Published
2024-12-18
DOI
https://doi.org/10.32762/zr.27.1.7
Primary Topic
Environmental Impact and Sustainability
Type
article
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article

Modeliranje dinamike pražnjenja kišnih vrtova primjenom Green-Ampt modela

Vanja Travaš, Stefan Jakac
Zbornik radova
Environmental Impact and Sustainability
article

Modeliranje dinamike pražnjenja kišnih vrtova primjenom Green-Ampt modela

Vanja Travaš, Stefan Jakac
article en

Abstract

The paper presents a relatively simple calculation procedure for modeling the drainage dynamics of rain gardens, i.e. adequately designed infiltration surfaces that are used in urbanized areas for the temporary retention of rainwater. To that end, it is necessary to quantify the infiltration of water into the porous soil, which in general can be very demanding because the hydraulic process in question is described by Richards' partial differential equation, the numerical integration of which is a very challenging task (due to the nonlinearity between the hydraulic conductivity and the degree of saturation determined by its solution). At the same time, relying on several working assumptions stated in the paper, the mathematical description of the subject process can be reduced to the solution of one non-linear algebraic equation, which then creates a relatively simple calculation procedure that can be applied in everyday professional work (if the introduced assumptions can be justified). The calculation procedure is reduced to the integration of Darcy's law, which leads to the Green-Ampt model. The paper presents the argumentation for the aforementioned, calculation procedure intended for practical work, and also offers a numerical example.

Zbornik radovaVol. 27(1)
University of Rijeka (HR)
Openalex Percentile: Top 79%
Environmental Impact and Sustainability
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Modeliranje dinamike pražnjenja kišnih vrtova primjenom Green-Ampt modela — Vanja Travaš, Stefan Jakac · Zbornik radova (2024) | TGRS Research Map | TGRS