Waterway level change benchmark (Water Module) - Revision history

Frank@tygron.nl at 14:35, 15 July 2026

2026-07-15T14:35:48Z

← Older revision		Revision as of 14:35, 15 July 2026
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	*[[Api session event editor overlay set water weather]]		*[[Api session event editor overlay set water weather]]
	*[[Api session event editor overlay set attribute]]		*[[Api session event editor overlay set attribute]]
			*[[Api session event editor area set attribute]]
	*[[Api session event editor building set attribute]]		*[[Api session event editor building set attribute]]
	*[[Api session event editor terraintype set attribute]]		*[[Api session event editor terraintype set attribute]]

Frank@tygron.nl at 14:35, 15 July 2026

2026-07-15T14:35:22Z

← Older revision		Revision as of 14:35, 15 July 2026
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	</references>		</references>
	\|api=*[[Api session event editor overlay add]]		\|api=*[[Api session event editor overlay add]]
	*[[Api session event editor overlay set weather]]		*[[Api session event editor overlay set water weather]]
	*[[Api session event editor overlay set attribute]]		*[[Api session event editor overlay set attribute]]
	*[[Api session event editor building set attribute]]		*[[Api session event editor building set attribute]]
			*[[Api session event editor terraintype set attribute]]
	*[[Api session event editor weather set attribute]]		*[[Api session event editor weather set attribute]]
	}}		}}
	{{Water Module buttons}}		{{Water Module buttons}}

Frank@tygron.nl at 14:34, 15 July 2026

2026-07-15T14:34:45Z

← Older revision		Revision as of 14:34, 15 July 2026
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	: <math>S</math>: phreatic water storage fraction.		: <math>S</math>: phreatic water storage fraction.

	[[File:graph_waterlevel_change_percentual_over_distance.png\|frame\|left\| ~~De grafiek laat de relatieve verandering zien van de grondwaterstand na~~ 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 en 121 ~~dagen~~, ~~berekend met bovenstaande formule~~.]]		[[File:graph_waterlevel_change_percentual_over_distance.png\|frame\|left\| This graph shows the relative change in the ground water level after 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 en 121 days, calculated using the mentioned formulas.]]
	<br style="clear:both">		<br style="clear:both">

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	}}		}}
	</references>		</references>
			\|api=*[[Api session event editor overlay add]]
			*[[Api session event editor overlay set weather]]
			*[[Api session event editor overlay set attribute]]
			*[[Api session event editor building set attribute]]
			*[[Api session event editor weather set attribute]]
	}}		}}
	{{Water Module buttons}}		{{Water Module buttons}}

Frank@tygron.nl at 14:32, 15 July 2026

2026-07-15T14:32:29Z

← Older revision		Revision as of 14:32, 15 July 2026
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	===Formulas===		===Formulas===
	When the water level in the ~~water way~~ changes, the water table level will also change over time. The relation between water level in the waterway and the ground water table at distance x from the ~~water way~~ is described by the following formulas{{ref\|Marsily86}}:		When the water level in the waterway changes, the water table level will also change over time. The relation between water level in the waterway and the ground water table at distance x from the waterway is described by the following formulas{{ref\|Marsily86}}:

	In case the water level is raised, the following formula should hold:		In case the water level is raised, the following formula should hold:

	<math> \frac{h(x)}{h_0} = erfc (x\sqrt{\frac{S}{4kDt}})</math>		<math> \frac{h(x)}{h_0} = erfc (x\sqrt{\frac{S}{4kDt}})</math>

			The formula erfc is the complementary error function.

	In case the water level is lowered, the following formula should hold:		In case the water level is lowered, the following formula should hold:

	<math> \frac{h(x)}{h_0} = erf (x\sqrt{\frac{S}{4kDt}})</math>		<math> \frac{h(x)}{h_0} = erf (x\sqrt{\frac{S}{4kDt}})</math>

	~~The formula erf is the complementary error function.~~

	<math> erf(z) = \frac{2}{\sqrt{\pi}}\int\limits_{0}^{z}e^{-t^2}dt</math>		<math> erf(z) = \frac{2}{\sqrt{\pi}}\int\limits_{0}^{z}e^{-t^2}dt</math>
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	where:		where:
	: <math>h(x)</math>: change in ~~freatic~~ groundwater table (m)		: <math>h(x)</math>: change in phreatic groundwater table (m)
	: <math>h0</math>: change in water level in the waterway(m)		: <math>h0</math>: change in water level in the waterway(m)
	: <math>x</math>: distance to the ~~water way~~ (m)		: <math>x</math>: distance to the waterway (m)
	: <math>t</math>: time since the water level change		: <math>t</math>: time since the water level change
	: <math>kD</math>: transmissivity of the aquifer (m2 / day)		: <math>kD</math>: transmissivity of the aquifer (m2 / day)
	: <math>S</math>: ~~freatic~~ water storage fraction.		: <math>S</math>: phreatic water storage fraction.

	[[File:graph_waterlevel_change_percentual_over_distance.png\|frame\|left\| De grafiek laat de relatieve verandering zien van de grondwaterstand na 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 en 121 dagen, berekend met bovenstaande formule.]]		[[File:graph_waterlevel_change_percentual_over_distance.png\|frame\|left\| De grafiek laat de relatieve verandering zien van de grondwaterstand na 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 en 121 dagen, berekend met bovenstaande formule.]]
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	The terrain height is set up as ~~followed~~:		The terrain height is set up as follows:
	: 0.0 m for x <= 2		: 0.0 m for x <= 2
	: 3.0 m for x == 3		: 3.0 m for x == 3
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	The water will be raised to 4 meters, thereby simulating an <math>h0</math> of 2.		The water will be raised to 4 meters, thereby simulating an <math>h0</math> of 2.

	~~One~~ inlet ~~is placed on the cells~~ x = 1 ~~and~~ y = 1 to 3~~, with the following setup to create the~~ sudden stable water level ~~increment~~:		An inlet at x=1, y=1-3 creates a sudden stable water level increase:
	:[[Inlet_upper_threshold_(Water_Overlay)\|UPPER_THRESHOLD]] set to 4.		:[[Inlet_upper_threshold_(Water_Overlay)\|UPPER_THRESHOLD]] set to 4.
	:[[Inlet_lower_threshold_(Water_Overlay)\|LOWER_THRESHOLD]] set to 4.		:[[Inlet_lower_threshold_(Water_Overlay)\|LOWER_THRESHOLD]] set to 4.

Frank@tygron.nl at 11:52, 8 July 2026

2026-07-08T11:52:40Z

← Older revision		Revision as of 11:52, 8 July 2026
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	For the test different simulation times T are tested, each resulting in a different relation graph as shown in the described case above.		For the test different simulation times T are tested, each resulting in a different relation graph as shown in the described case above.

	A ground water overlay ~~is used for the simulation, with a simulation time T configured using~~ the [[Weather_rain_m_(Water_Overlay)\|Weather's rain M]] parameter~~, set~~ to [T, 0.0]~~, resulting in~~ a simulation of T seconds ~~without rain~~. Note that T has to be converted to days to be used in the formula's described above.		Use a ground water overlay and set the [[Weather_rain_m_(Water_Overlay)\|Weather's rain M]] parameter to [T, 0.0] for a rainless simulation of T seconds. Note that T has to be converted to days to be used in the formula's described above.

	The surface water simulation mode is set to [[Surface water (Water Overlay)\|surface averaging]].		The surface water simulation mode is set to [[Surface water (Water Overlay)\|surface averaging]].

	===Results===		===Results===
	The results are generated for four simulation periods: 16 days, 64 days, 81 days and 121 days. The ~~noted~~ ''h'' is the increase ~~of ground water level in meters~~, ~~which went~~ from 2 to 4 meters ~~in the waterway~~. The ''dx'' is the distance in meters to the waterway.		The results are generated for four simulation periods: 16 days, 64 days, 81 days and 121 days. The value ''h'' is the groundwater level increase (m), where the waterway rose from 2 to 4 meters. The ''dx'' is the distance in meters to the waterway.
	As ~~you will be able to inspect~~ below, the lines align ~~very~~ well.		As shown below, the lines align well.

	====16 Days====		====16 Days====

Rudolf@tygron.nl at 11:30, 17 October 2025

2025-10-17T11:30:07Z

← Older revision		Revision as of 11:30, 17 October 2025
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	===Formulas===		===Formulas===
	When the water level in the water way changes, the water table level will also change over time. The relation between water level in the waterway and the ground water table at distance x from the water way is described by the following formulas <ref ~~name="~~Marsily86~~"/>~~:		When the water level in the water way changes, the water table level will also change over time. The relation between water level in the waterway and the ground water table at distance x from the water way is described by the following formulas{{ref\|Marsily86}}:

	In case the water level is raised, the following formula should hold:		In case the water level is raised, the following formula should hold:
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	===Setup===		===Setup===
	The test setup uses the same parameters used in the research results published in <ref ~~name="~~Ernst58~~"/>~~.		The test setup uses the same parameters used in the research results published in literature{{ref\|Ernst58}}.
	The grid chosen is 112 by 5. The ground water table comparisons will be conducted in the x-direction.		The grid chosen is 112 by 5. The ground water table comparisons will be conducted in the x-direction.
	The grid cell size is set to 25 meters.		The grid cell size is set to 25 meters.
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	[[File:waterway_classic_121.png]]		[[File:waterway_classic_121.png]]

	~~===References==~~=
			{{article end
			\|references=
	<references>		<references>
	<ref name=~~"Ernst58"> Ernst, L.F. 1958.~~ Verhoging van grondwaterstanden en vermindering van afvoer door opstuwing van beken. Overdruk uit Verslagen Technische Bijeenkomsten 11-12. Versl. Meded. Comm. Hydrol. Onderz. T.N.O. No. 3 (1958).</ref>		{{ref\|Ernst58
	~~<ref~~ name=~~"Marsily86"> Marsily, Ghislain de, 1986.~~ Quantitative Hydrogeology. Groundwater Hydrology for Engineers. Academic Press (originally in french~~, p199 for the formula~~)~~</ref>~~		\|name=Verhoging van grondwaterstanden en vermindering van afvoer door opstuwing van beken. Overdruk uit Verslagen Technische Bijeenkomsten 11-12. Versl. Meded. Comm. Hydrol. Onderz. T.N.O. No. 3 (1958)
			\|author=Ernst, L.F. 1958
			\|page=
			\|source=
			\|link=
			\|lastvisit=
			}}
			{{ref\|Marsily86
			\|name=Quantitative Hydrogeology. Groundwater Hydrology for Engineers. Academic Press
			\|author=Marsily, Ghislain de, 1986.
			\|page=199 (originally in french)
			\|source=
			\|link=
			\|lastvisit=
			}}
	</references>		</references>
			}}
	{{Water Module buttons}}		{{Water Module buttons}}

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

2024-03-05T14:48:03Z

← Older revision		Revision as of 14:48, 5 March 2024
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	In this ~~test case~~, the ground water table is initially the same as the water level in the waterway. Then, the level in the waterway suddenly rises with h0 meters. This causes water to infiltrate into the ground, slowly raising the ground water table as well.		In this [[Water Module benchmarks\|benchmark]], the ground water table is initially the same as the water level in the waterway. Then, the level in the waterway suddenly rises with h0 meters. This causes water to infiltrate into the ground, slowly raising the ground water table as well.

	[[File:water_level_change_benchmark.gif\|Situation of the waterway level change benchmark for groundwater]]		[[File:water_level_change_benchmark.gif\|Situation of the waterway level change benchmark for groundwater]]

Frank@tygron.nl at 12:13, 28 May 2021

2021-05-28T12:13:15Z

← Older revision		Revision as of 12:13, 28 May 2021
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	: 10.0 m for x > 3		: 10.0 m for x > 3

	The initial water level is set to 2, for both surface and the groundwater table, by using a water ~~level~~ area set to 2 meters.		The initial water level is set to 2, for both surface and the groundwater table, by using a water area set to 2 meters.

	The water will be raised to 4 meters, thereby simulating an <math>h0</math> of 2.		The water will be raised to 4 meters, thereby simulating an <math>h0</math> of 2.

Hedi@tygron.com: /* Setup */

2021-01-13T14:31:55Z

Setup

← Older revision		Revision as of 14:31, 13 January 2021
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	===Setup===		===Setup===
	The test setup uses the same parameters used in the research results published in <ref name="Ernst58"/>		The test setup uses the same parameters used in the research results published in <ref name="Ernst58"/>.
	The grid chosen is 112 by 5. The ground water table comparisons will be conducted in the x-direction.		The grid chosen is 112 by 5. The ground water table comparisons will be conducted in the x-direction.
	The grid cell size is set to 25 meters.		The grid cell size is set to 25 meters.

Hedi@tygron.com: /* Formulas */

2021-01-13T14:31:30Z

Formulas

← Older revision		Revision as of 14:31, 13 January 2021
Line 5:		Line 5:
	===Formulas===		===Formulas===
	When the water level in the water way changes, the water table level will also change over time. The relation between water level in the waterway and the ground water table at distance x from the water way is described by the following formulas <ref name="Marsily86"/>:		When the water level in the water way changes, the water table level will also change over time. The relation between water level in the waterway and the ground water table at distance x from the water way is described by the following formulas <ref name="Marsily86"/>:

	In case the water level is raised, the following formula should hold:		In case the water level is raised, the following formula should hold: