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Adjusting file tree to match conventions
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Completed Example 1: Single Failure Mode for Hydrologic Risk Analysis
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Polished example 1 for RMC TR-AG Hydro
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Original file line number Diff line number Diff line change
Expand Up @@ -21,14 +21,18 @@ This risk analysis includes the evaluation of an earthen embankment dam with a c
shown in <TableReference tableKey="hydrologic-key-elevations"/>. The following examples generally build upon each
other, and the risk analyses will progress from simple to more complex.

<TableVertical
tableKey="hydrologic-key-elevations"
headerConfig={[
{ label: "Key Elevations (ft-NAVD88)", colSpan: 2 },
]}
columns={[
["Normal High Pool", "Top of Active Storage", "Top of Dam", "Probable Maximum Flood"],
["641.00", "644.00", "649.65", "654.10"]]}
fullWidth={false}
alt="alt"
caption="Key elevations" />
{/*Table 1*/}
<TableVertical tableKey="hydrologic-key-elevations"
caption="Key elevations."
alt="Key elevations for a dam in feet."
widthMode="intrinsic"
headers={[
[
{ value: "Key Elevations (ft-NAVD88)", colSpan: 2 }
]
]}
columns={[
["Normal High Pool", "Top of Active Storage", "Top of Dam", "Probable Maximum Flood"],
["641.00", "644.00", "649.65", "654.10"]
]}
/>

Large diffs are not rendered by default.

Original file line number Diff line number Diff line change
@@ -0,0 +1,188 @@
---
title: Example 2 - Single Failure Mode, No Intervention
---

import Link from "@docusaurus/Link";
import addBaseUrl from "@docusaurus/useBaseUrl";
import Citation from "@site/src/components/Citation";
import CitationFootnote from "@site/src/components/CitationFootnote";
import Figure from "@site/src/components/Figure";
import FigureInline from "@site/src/components/FigureInline";
import FigReference from "@site/src/components/FigureReference";
import NavContainer from "@site/src/components/NavContainer";
import ProcessList from "@site/src/components/ProcessList";
import TableReference from "@site/src/components/TableReference";
import TableVertical from "@site/src/components/TableVertical";
import VersionSelector from "@site/src/components/VersionSelector";

<NavContainer
link="/desktop-applications/rmc-totalrisk"
linkTitle="RMC-TotalRisk"
document="desktop-applications/rmc-totalrisk/applications-guide"
></NavContainer>

# Example 2 - Single Failure Mode, No Intervention

This example starts with the completed risk analysis from [Example 1](./03-example-1.mdx) and adds the without intervention scenario.
The hazard, transform, and consequence functions will remain unchanged from [Example 1](./03-example-1.mdx). New RMC-TotalRisk concepts
covered by this example include copying an event tree and plotting the results of multiple risk analyses on the same plot.

## Hazards

The hydrologic hazard for this example is the same as [Example 1](./03-example-1.mdx). Reference procedure in [Hazards](./03-example-1.mdx#hazards)
from Example 1 to create the hazard function for this risk analysis.

## Transforms

The stage frequency, system response, and consequence data for this risk analysis are all a function of stage (ft). Therefore, a transform function is
not required for this analysis.

## System Responses

To build the event tree for the BEP PFM without the consideration of intervention, copy and paste the event tree completed in
[System Responses](./03-example-1.mdx#system-responses)
from Example 1 for BEP PFM with intervention and set the probability of no intervention in the event tree to 1.0 for all hazard levels.

<ProcessList
items={[
{ //Step 1
title: (
<>
Right-click on the <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/addeventtree.png"/> <strong>Backward Erosion Piping with Intervention</strong> event tree in the <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/folder.png"/> <strong>System Responses</strong> folder in the
Project Explorer window and click <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/copy.png"/> <strong>Copy…</strong> Name the copied system response function in the prompt (e.g., Backward Erosion
Piping without Intervention) and press <strong>OK</strong>.
</>
),
},
{ //Step 2
title: (
<>
Select the <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/addeventtree.png"/> <strong>Backward Erosion Piping with Intervention</strong> event tree in the <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/folder.png"/> <strong>System Responses</strong> folder in the
Project Explorer window.
</>
)
},
{ //Step 3
title: (
<>
Click on the “No Intervention” branch of the event tree. Set the <strong>Source</strong> to <em>Single Value</em>, set the <strong>Distribution</strong> to <em>Deterministic</em>, and input a value of 1, <FigReference figKey="example-2-bep-no-intervene-n6" />.
</>
),
freeform: (
<>
{/*Figure 17*/}
<Figure figKey="example-2-bep-no-intervene-n6"
caption="Backward erosion piping without intervention Node 6 inputs."
docId="04-example-2.mdx"
src="figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/figures/figure17.png"
fullWidth={true}
alt="Backward erosion piping without intervention Node 6 inputs."
/>
</>
)
},
{ //Step 4
title: (
<>
Click on the <strong>Response</strong> tab within the event tree window to view a graph of the system response curve plotted against stage, <FigReference figKey="example-2-bep-no-intervene-src"/>.
</>
),
freeform: (
<>
{/*Figure 18*/}
<Figure figKey="example-2-bep-no-intervene-src"
caption="Backward erosion piping without intervention Node 6 inputs."
docId="04-example-2.mdx"
src="figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/figures/figure18.png"
fullWidth={true}
alt="Backward erosion piping without intervention Node 6 inputs."
/>
</>
)
}
]}
/>

## Consequences

The consequence functions for this example are the same as [Example 1](./03-example-1.mdx).
Reference the procedure in [Consequences](./03-example-1.mdx#consequences) from Example 1 to create the consequence functions for this risk analysis.

## Risk Analyses

Create and simulate a new risk analysis for BEP without intervention.

<ProcessList
items={[
{ //Step 1
title: (
<>
Right-click on the <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/addriskanalysis.png"/> <strong>Backward Erosion Piping with Intervention</strong> risk analysis in
the <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/folder.png"/> <strong>Risk Analyses</strong> folder in the Project Explorer window and click <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/copy.png"/> <strong>Copy…</strong> Name the copied risk analysis in the
prompt (e.g., Backward Erosion Piping without Intervention) and press <strong>OK</strong>.
</>
)
},
{ //Step 2
title: (
<>
For the response node <FigureInline src="/figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/icons/responseIcon.png"/> , use the drop-down box to change the response from “Backward Erosion Piping with Intervention”
to “Backward Erosion Piping without Intervention”, <FigReference figKey="example-2-risk-analysis-diagram" />.
</>
),
freeform: (
<>
{/*Figure 19*/}
<Figure figKey="example-2-risk-analysis-diagram"
caption="Risk analysis diagram (Example 2)."
docId="04-example-2.mdx"
src="figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/figures/figure19.png"
fullWidth={true}
alt="Risk analysis diagram with hazard, consequence, and response components (Example 2)."
/>
</>
)
},
{ //Step 3
title: (
<>
Use the procedure described in steps 4 and 5 of <a href="/RMC-Software-Documentation/docs/desktop-applications/rmc-totalrisk/applications-guide/v1.0/example-1#risk-analyses" target="_blank" rel="noopener noreferrer">Risk Analyses</a> from Example 1 to run the simulation.
</>
)
}
]}
/>

## Results

Once the risk analysis model has been simulated, the **Summary Statistics** tab provides a table of summary results. In the Alternatives filter menu,
select “BEP without Intervention” to display the results in the same table as “BEP with Intervention” as shown in <FigReference figKey="example-2-risk-analysis-summary" />. This table shows the
incremental _Mean, E[N]_ (also referred to as the average annual life loss, AALL), of 6.34E-03 without intervention and 1.09E-03 with intervention and an
_Exceedance Probability, α_ (also referred to as annual probability of failure, APF) of 3.71E-05 without intervention and 6.89E-06 with intervention.

The incremental F-N Plot with uncertainty is shown in <FigReference figKey="example-2-inc-fn-uncertain"/> and the α-ƞ Plot with uncertainty is shown in <FigReference figKey="example-2-an-uncertain-scatter" />.

{/*Figure 20*/}
<Figure figKey="example-2-risk-analysis-summary"
caption="Risk analysis summary statistics (Example 2)."
docId="04-example-2.mdx"
src="figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/figures/figure20.png"
fullWidth={true}
alt="Risk analysis summary statistics (Example 2)."
/>
{/*Figure 21*/}
<Figure figKey="example-2-inc-fn-uncertain"
caption="Incremental F-N plot with full uncertainty (Example 2)."
docId="04-example-2.mdx"
src="figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/figures/figure21.png"
fullWidth={true}
alt="Incremental F-N plot with full uncertainty (Example 2)."
/>
{/*Figure 22*/}
<Figure figKey="example-2-an-uncertain-scatter"
caption="α-ƞ plot with uncertainty scatter (Example 2)."
docId="04-example-2.mdx"
src="figures/desktop-applications/rmc-totalrisk/applications-guide/v1.0/figures/figure22.png"
fullWidth={true}
alt="α-ƞ plot with uncertainty scatter (Example 2)."
/>
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