Breach growth formula (Water Overlay) - Revision history

Frank@tygron.nl at 09:03, 16 January 2026

2026-01-16T09:03:53Z

← Older revision		Revision as of 09:03, 16 January 2026
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	\|howtos=		\|howtos=
	*[[How to add a breach level area to a breach]]		*[[How to add a breach level area to a breach]]
			* [[How to create a custom breach formula]]

	\|references=		\|references=

Rudolf@tygron.nl at 14:21, 17 October 2025

2025-10-17T14:21:55Z

← Older revision		Revision as of 14:21, 17 October 2025
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	The water flowing through breaches can originate from an external area outside the project area or an input area within the project area.		The water flowing through breaches can originate from an external area outside the project area or an input area within the project area.

	This algorithm is based on the incremental timestep formula of Verheij-van der Knaap<ref ~~name="~~breachgrow~~"/>~~, as described in section ''3.4.4 Implementatie in SOBEK'' and the conclusion of that paper.		This algorithm is based on the incremental timestep formula of Verheij-van der Knaap{{ref\|breachgrow}}, as described in section ''3.4.4 Implementatie in SOBEK'' and the conclusion of that paper.

	First, the difference in height of the water on either side of the breach is calculated.		First, the difference in height of the water on either side of the breach is calculated.
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	* The breach height H<sub>b,t</sub> can be defined over time, by configuring the [[Breach height (Water Overlay)\|BREACH_HEIGHT]] as an [[attribute array]].		* The breach height H<sub>b,t</sub> can be defined over time, by configuring the [[Breach height (Water Overlay)\|BREACH_HEIGHT]] as an [[attribute array]].
	* The inner water level is to be measured not directly inside the breach area but a few meters away. By default 100m, this can be adjusted via the [[Breach_measurement_distance_m_(Water_Overlay)\|BREACH_MEASUREMENT_DISTANCE_M]] attribute. It can also be measured using a manual defined [[Breach level area (Water Overlay)\|level area]].		* The inner water level is to be measured not directly inside the breach area but a few meters away. By default 100m, this can be adjusted via the [[Breach_measurement_distance_m_(Water_Overlay)\|BREACH_MEASUREMENT_DISTANCE_M]] attribute. It can also be measured using a manual defined [[Breach level area (Water Overlay)\|level area]].
	* For more details on breach growth, ~~we also recommend reading this~~ "Quickscan"-report for Waterschap Rijn en IJssel<ref ~~name="~~quickscan~~"/>~~.		* For more details on breach growth, it is recommended to reference the "Quickscan"-report for Waterschap Rijn en IJssel{{ref\|quickscan}}.

	\|seealso=		\|seealso=
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	\|references=		\|references=
	<references>		<references>
	<ref name=~~"breachgrow">Verheij, H.J. ∙~~ Aanpassen van het bresgroeimodel in HIS-OM: Bureaustudie ~~∙ found at:~~ http://resolver.tudelft.nl/uuid:aedc8109-da43-4a03-90c3-44f706037774 ~~∙ (last visited~~ 2022-09-08~~)</~~ref>		{{ref\|breachgrow
	~~<ref~~ name=~~"quickscan">Arcadis ∙~~ Quickscan Lijnvormige Kerende Elementen Onderzoek naar de modellering van bresgroei en standzekerheid van Lijnvormige Kerende Elementen Waterschap Rijn en IJssel ~~∙ found at:~~ https://edepot.wur.nl/556012 ~~∙ (last visited~~ 2022-09-08~~)</ref>~~		\|name=Aanpassen van het bresgroeimodel in HIS-OM: Bureaustudie
			\|author=Verheij, H.J.
			\|page=section ''3.4.4 Implementatie in SOBEK''
			\|source=
			\|link=http://resolver.tudelft.nl/uuid:aedc8109-da43-4a03-90c3-44f706037774
			\|lastvisit=2022-09-08
			}}
			{{ref\|quickscan
			\|name=Quickscan Lijnvormige Kerende Elementen Onderzoek naar de modellering van bresgroei en standzekerheid van Lijnvormige Kerende Elementen Waterschap Rijn en IJssel
			\|author=Arcadis
			\|page=
			\|source=
			\|link=https://edepot.wur.nl/556012
			\|lastvisit=2022-09-08
			}}
	</references>		</references>
	}}		}}

	{{WaterOverlay formula nav}}		{{WaterOverlay formula nav}}

Frank@tygron.nl at 13:08, 5 March 2024

2024-03-05T13:08:40Z

← Older revision		Revision as of 13:08, 5 March 2024
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	: <math>\Delta h_{t} = \left \| w_{o,t} - max(w_{i,t}, H_{b,t}) \right \|</math>		: <math>\Delta h_{t} = \left \| w_{o,t} - max(w_{i,t}, H_{b,t}) \right \|</math>

	Using the height difference, the breach width increase (m/s) is calculated per computational ~~[[Timestep formula (Water Overlay)\|~~timestep]].		Using the height difference, the breach width increase (m/s) is calculated per computational timestep.

	: <math>\Delta W_{b,t} = \frac{f_1 \cdot f_2}{ ln(10)} \cdot \frac{(g \cdot \Delta h_{t})^{1.5 }}{ {cs_b}^2} \cdot \frac{1} { 1 + \frac{f_2 \cdot g \cdot \Delta t} {cs_b \cdot 3600}}</math>		: <math>\Delta W_{b,t} = \frac{f_1 \cdot f_2}{ ln(10)} \cdot \frac{(g \cdot \Delta h_{t})^{1.5 }}{ {cs_b}^2} \cdot \frac{1} { 1 + \frac{f_2 \cdot g \cdot \Delta t} {cs_b \cdot 3600}}</math>

Frank@tygron.nl at 13:08, 5 March 2024

2024-03-05T13:08:24Z

← Older revision		Revision as of 13:08, 5 March 2024
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	: <math>\Delta h_{t} = \left \| w_{o,t} - max(w_{i,t}, H_{b,t}) \right \|</math>		: <math>\Delta h_{t} = \left \| w_{o,t} - max(w_{i,t}, H_{b,t}) \right \|</math>

	Using the height difference, the breach width increase (m/s) is calculated per computational timestep.		Using the height difference, the breach width increase (m/s) is calculated per computational [[Timestep formula (Water Overlay)\|timestep]].

	: <math>\Delta W_{b,t} = \frac{f_1 \cdot f_2}{ ln(10)} \cdot \frac{(g \cdot \Delta h_{t})^{1.5 }}{ {cs_b}^2} \cdot \frac{1} { 1 + \frac{f_2 \cdot g \cdot \Delta t} {cs_b \cdot 3600}}</math>		: <math>\Delta W_{b,t} = \frac{f_1 \cdot f_2}{ ln(10)} \cdot \frac{(g \cdot \Delta h_{t})^{1.5 }}{ {cs_b}^2} \cdot \frac{1} { 1 + \frac{f_2 \cdot g \cdot \Delta t} {cs_b \cdot 3600}}</math>
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	: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).		: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).
	: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.		: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.
	: <math>\Delta t</math> = Computational timestep.		: <math>\Delta t</math> = Computational [[Timestep formula (Water Overlay)\|timestep]].

Frank@tygron.nl at 15:40, 25 January 2024

2024-01-25T15:40:18Z

← Older revision		Revision as of 15:40, 25 January 2024
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	Where:		Where:
	: <math>W_b</math> = The [[Breach width (Water Overlay)\|BREACH_WIDTH]] of the breach.		: <math>W_b</math> = The [[Breach width (Water Overlay)\|BREACH_WIDTH]] of the breach.
	: <math>H_{b,t}</math> = The [[Breach height (Water Overlay)\|BREACH_HEIGHT]] (datum) of the breach at time t.		: <math>H_{b,t}</math> = The [[Breach height (Water Overlay)\|BREACH_HEIGHT]] ({{datum}}) of the breach at time t.
	: <math>W_{b,t}</math> = The calculated breach width, initially equal to <math>W_b</math>.		: <math>W_{b,t}</math> = The calculated breach width, initially equal to <math>W_b</math>.
	: <math>w_{i,t}</math> = Inner water level at breach area at time t, measured at the [[Breach measurement distance m (Water Overlay)\|measurement point]] (or [[Breach level area (Water Overlay)\|Level Area]]) of the [[Breach (Water Overlay)\|Breach]].		: <math>w_{i,t}</math> = Inner water level at breach area at time t, measured at the [[Breach measurement distance m (Water Overlay)\|measurement point]] (or [[Breach level area (Water Overlay)\|Level Area]]) of the [[Breach (Water Overlay)\|Breach]].

Frank@tygron.nl at 15:39, 25 January 2024

2024-01-25T15:39:53Z

← Older revision		Revision as of 15:39, 25 January 2024
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	Where:		Where:
	: <math>W_b</math> = The [[Breach width (Water Overlay)\|BREACH_WIDTH]] of the breach.		: <math>W_b</math> = The [[Breach width (Water Overlay)\|BREACH_WIDTH]] of the breach.
	: <math>H_{b,t}</math> = The [[Breach height (Water Overlay)\|BREACH_HEIGHT]] of the breach at time t.		: <math>H_{b,t}</math> = The [[Breach height (Water Overlay)\|BREACH_HEIGHT]] (datum) of the breach at time t.
	: <math>W_{b,t}</math> = The calculated breach width, initially equal to <math>W_b</math>.		: <math>W_{b,t}</math> = The calculated breach width, initially equal to <math>W_b</math>.
	: <math>w_{i,t}</math> = Inner water level at breach area at time t, measured at the [[Breach measurement distance m (Water Overlay)\|measurement point]] (or [[Breach level area (Water Overlay)\|Level Area]]) of the [[Breach (Water Overlay)\|Breach]].		: <math>w_{i,t}</math> = Inner water level at breach area at time t, measured at the [[Breach measurement distance m (Water Overlay)\|measurement point]] (or [[Breach level area (Water Overlay)\|Level Area]]) of the [[Breach (Water Overlay)\|Breach]].

Frank@tygron.nl at 13:18, 22 September 2023

2023-09-22T13:18:35Z

← Older revision		Revision as of 13:18, 22 September 2023
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	: <math>f_1</math> = Material factor, set to 1.3 (average for sand and clay levees).		: <math>f_1</math> = Material factor, set to 1.3 (average for sand and clay levees).
	: <math>f_2</math> = Constant, set to 0.04.		: <math>f_2</math> = Constant, set to 0.04.
	: <math>g</math> = ~~the acceleration due to~~ gravity.		: <math>g</math> = {{gravity}}.
	: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).		: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).
	: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.		: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.

Frank@tygron.nl at 13:16, 22 September 2023

2023-09-22T13:16:31Z

← Older revision		Revision as of 13:16, 22 September 2023
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	: <math>f_1</math> = Material factor, set to 1.3 (average for sand and clay levees).		: <math>f_1</math> = Material factor, set to 1.3 (average for sand and clay levees).
	: <math>f_2</math> = Constant, set to 0.04.		: <math>f_2</math> = Constant, set to 0.04.
	: <math>g</math> = the acceleration due to gravity~~, set to 9.81~~.		: <math>g</math> = the acceleration due to gravity.
	: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).		: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).
	: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.		: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.

Frank@tygron.nl at 13:15, 22 September 2023

2023-09-22T13:15:56Z

← Older revision		Revision as of 13:15, 22 September 2023
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	: <math>f_1</math> = Material factor, set to 1.3 (average for sand and clay levees).		: <math>f_1</math> = Material factor, set to 1.3 (average for sand and clay levees).
	: <math>f_2</math> = Constant, set to 0.04.		: <math>f_2</math> = Constant, set to 0.04.
	: <math>g</math> = the acceleration due to gravity.		: <math>g</math> = the acceleration due to gravity, set to 9.81.
	: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).		: <math>cs_{b}</math> = The critical [[Breach speed (Water Overlay)\|BREACH_SPEED]] of the breach (e.g. 0.2 for sand and 0.5 for clay).
	: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.		: <math>\Delta W_{b,t}</math> = The calculated width increase of the breach at time t.

Frank@tygron.nl at 13:14, 22 September 2023

2023-09-22T13:14:51Z

← Older revision		Revision as of 13:14, 22 September 2023
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	[[File:Breach-top5.png\|left\|[[Breach (Water Overlay)\|Breach]] with (internal) [[Breach input area (Water Overlay)\|Input Area]] and a [[Breach measurement distance m (Water Overlay)\|Measurement Point]]]]		[[File:Breach-top5.png\|left\|400px\|[[Breach (Water Overlay)\|Breach]] with (internal) [[Breach input area (Water Overlay)\|Input Area]] and a [[Breach measurement distance m (Water Overlay)\|Measurement Point]]]]
	[[File:Breach-top-ext.png\|left\|[[Breach (Water Overlay)\|Breach]] with [[External water level (Water Overlay)\|External Water Level]] and a [[Breach level area (Water Overlay)\|Breach Level Area]]]]		[[File:Breach-top-ext.png\|left\|400px\|[[Breach (Water Overlay)\|Breach]] with [[External water level (Water Overlay)\|External Water Level]] and a [[Breach level area (Water Overlay)\|Breach Level Area]]]]