Freatic groundwater levels benchmark (Water Module) - Revision history

Rudolf@tygron.nl at 10:04, 17 October 2025

2025-10-17T10:04:54Z

← Older revision		Revision as of 10:04, 17 October 2025
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	Note that the time at which this balance occurs is dependent on the starting situation.		Note that the time at which this balance occurs is dependent on the starting situation.

	The following formula, taken from <ref ~~name="~~Bear79~~"/>~~, describes the curve of ground water levels when the ground water flow to the left and right have become stable:		The following formula, taken from literature{{ref\|Bear79}}, describes the curve of ground water levels when the ground water flow to the left and right have become stable:

	<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>		<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>
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	[[File:benchmark_freatic_730.png]]		[[File:benchmark_freatic_730.png]]

	~~===Notes==~~=		{{article end
			\|notes=
	* The amount of days it takes to reach the stable solution is highly dependent on the starting situation.		* The amount of days it takes to reach the stable solution is highly dependent on the starting situation.

	~~===References==~~=		\|references=
	<references>		<references>
	<ref name=~~"Bear79"> Bear, J., 1979.~~ Hydraulics of Groundwater. McGraw-Hill. ~~(formula on p~~.180, equation 5-212~~)</ref>~~		{{ref\|Bear79
	</references>		\|name=Hydraulics of Groundwater. McGraw-Hill.
			\|author=Bear, J., 1979.
			\|page=180, equation 5-212
			\|source=
			\|link=
			\|lastvisit=
			}}
			</references>
			}}
	{{Water Module buttons}}		{{Water Module buttons}}

Frank@tygron.nl at 14:48, 5 March 2024

2024-03-05T14:48:13Z

← Older revision		Revision as of 14:48, 5 March 2024
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	This ~~testcase~~ demonstrates a situation where a parcel of land is situated between two waterways, each with a stable but different water level. In combination with continuous rainfall, a characteristic curve will form over time, as shown in the image below.		This [[Water Module benchmarks\|benchmark]] demonstrates a situation where a parcel of land is situated between two waterways, each with a stable but different water level. In combination with continuous rainfall, a characteristic curve will form over time, as shown in the image below.

	[[File:freatic_rain_fall.gif\|A parcel of land situated between two waterways during continuous rainfall]]		[[File:freatic_rain_fall.gif\|A parcel of land situated between two waterways during continuous rainfall]]

Frank@tygron.nl at 12:03, 15 December 2020

2020-12-15T12:03:30Z

← Older revision		Revision as of 12:03, 15 December 2020
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	This testcase ~~simulates~~ a situation where a parcel of land is situated between two waterways, each with a stable but different water level. In combination with continuous rainfall, a characteristic curve will form over time, as shown in the image below.		This testcase demonstrates a situation where a parcel of land is situated between two waterways, each with a stable but different water level. In combination with continuous rainfall, a characteristic curve will form over time, as shown in the image below.

	[[File:freatic_rain_fall.gif\|A parcel of land situated between two waterways during continuous rainfall]]		[[File:freatic_rain_fall.gif\|A parcel of land situated between two waterways during continuous rainfall]]

Frank@tygron.nl: /* Formulas */

2020-12-15T12:02:38Z

Formulas

← Older revision		Revision as of 12:02, 15 December 2020
Line 7:		Line 7:
	Note that the time at which this balance occurs is dependent on the starting situation.		Note that the time at which this balance occurs is dependent on the starting situation.

	The following formula, taken from <ref name="Bear79"/>, describes the curve of ground water levels when the ground water flow ~~has~~ become stable:		The following formula, taken from <ref name="Bear79"/>, describes the curve of ground water levels when the ground water flow to the left and right have become stable:

	<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>		<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>

Frank@tygron.nl: /* Formulas */

2020-12-15T12:02:21Z

Formulas

← Older revision		Revision as of 12:02, 15 December 2020
Line 7:		Line 7:
	Note that the time at which this balance occurs is dependent on the starting situation.		Note that the time at which this balance occurs is dependent on the starting situation.

	The following formula, taken from <ref name="Bear79"/>, describes the curve when the ground water flow has become stable:		The following formula, taken from <ref name="Bear79"/>, describes the curve of ground water levels when the ground water flow has become stable:

	<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>		<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>

Frank@tygron.nl: /* Formulas */

2020-12-15T12:01:57Z

Formulas

← Older revision		Revision as of 12:01, 15 December 2020
Line 7:		Line 7:
	Note that the time at which this balance occurs is dependent on the starting situation.		Note that the time at which this balance occurs is dependent on the starting situation.

	The following formula, taken from <ref name="Bear79"/>, describes the curve when the ground water ~~levels have~~ become stable:		The following formula, taken from <ref name="Bear79"/>, describes the curve when the ground water flow has become stable:

	<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>		<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>

Frank@tygron.nl: /* Formulas */

2020-12-15T12:01:18Z

Formulas

← Older revision		Revision as of 12:01, 15 December 2020
Line 7:		Line 7:
	Note that the time at which this balance occurs is dependent on the starting situation.		Note that the time at which this balance occurs is dependent on the starting situation.

	The following formula <ref name="Bear79"/> describes the curve when the ground water levels have become stable:		The following formula, taken from <ref name="Bear79"/>, describes the curve when the ground water levels have become stable:

	<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>		<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>

Frank@tygron.nl: /* Formulas */

2020-12-15T12:00:28Z

Formulas

← Older revision		Revision as of 12:00, 15 December 2020
Line 8:		Line 8:

	The following formula <ref name="Bear79"/> describes the curve when the ground water levels have become stable:		The following formula <ref name="Bear79"/> describes the curve when the ground water levels have become stable:

	<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>		<math> h^2 (x) = h_0^2 - (\frac{h_0^2-h_L^2}{L}) x + \frac{N}{k} (L- x) x</math>

Frank@tygron.nl: /* Setup */

2020-12-15T12:00:04Z

Setup

← Older revision		Revision as of 12:00, 15 December 2020
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	===Setup===		===Setup===
	The following setup has been taken from the use case ''~~rechte~~ strook freatisch'' at [http://grondwaterformules.nl/index.php/formules/peilverschil/rechte-strook-freatisch grondwaterformules.nl].		The following setup has been taken from the use case ''Peilverschil over een strook grond (freatisch)'' at [http://grondwaterformules.nl/index.php/formules/peilverschil/rechte-strook-freatisch grondwaterformules.nl].

	In the situation described there, the chosen Length L is set to 500 m. This is achieved with a grid size of 28 by 5, with a cell size of 20 m. There are two stable ground water levels, one on left of 11 meters (datum) and one on the right at 10 meters (datum). The rainfall is 0.8 mm per day, the horizontal infiltration speed is 3 m per day.		In the situation described there, the chosen Length L is set to 500 m. This is achieved with a grid size of 28 by 5, with a cell size of 20 m. There are two stable ground water levels, one on left of 11 meters (datum) and one on the right at 10 meters (datum). The rainfall is 0.8 mm per day, the horizontal infiltration speed is 3 m per day.

Frank@tygron.nl: /* Setup */

2020-12-15T11:59:39Z

Setup

← Older revision		Revision as of 11:59, 15 December 2020
Line 19:		Line 19:

	===Setup===		===Setup===
	The following setup has been taken from [http://grondwaterformules.nl/index.php/formules/peilverschil/rechte-strook-freatisch grondwaterformules.nl].		The following setup has been taken from the use case ''rechte strook freatisch'' at [http://grondwaterformules.nl/index.php/formules/peilverschil/rechte-strook-freatisch grondwaterformules.nl].

	In the situation described there, the chosen Length L is set to 500 m. This is achieved with a grid size of 28 by 5, with a cell size of 20 m. There are two stable ground water levels, one on left of 11 meters (datum) and one on the right at 10 meters (datum). The rainfall is 0.8 mm per day, the horizontal infiltration speed is 3 m per day.		In the situation described there, the chosen Length L is set to 500 m. This is achieved with a grid size of 28 by 5, with a cell size of 20 m. There are two stable ground water levels, one on left of 11 meters (datum) and one on the right at 10 meters (datum). The rainfall is 0.8 mm per day, the horizontal infiltration speed is 3 m per day.