{
"cells": [
{
"cell_type": "markdown",
"id": "8ef12ff3",
"metadata": {},
"source": [
"# Gradient methods (FORM, Cobyla)\n",
"\n",
"### Estimation of failure probability due to wave overtopping\n",
"\n",
"In this example, we will demonstrate the application of the gradient-based reliability methods (`form` and `cobyla_reliability`) to estimate the probability of failure of a levee due to wave overtopping. \n",
"\n",
"### Define model\n",
"\n",
"First, we import the necessary classes:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "4989b056",
"metadata": {},
"outputs": [],
"source": [
"from probabilistic_library import ReliabilityProject, DistributionType, ReliabilityMethod"
]
},
{
"cell_type": "markdown",
"id": "fce15965",
"metadata": {},
"source": [
"We consider the following limit state function:\n",
"\n",
"$Z = q_{crit} - q_{o}$\n",
"\n",
"where:
\n",
"\n",
"* $q_{crit}$ is the critical overtopping discharge (m3/s/m)
\n",
"* $q_{o}$ is the occuring wave overtopping discharge (m3/s/m)
\n",
"\n",
"The wave overtopping discharche $q_{o}$ is derived in this example using simplified equations from [*Technical Report Wave Run-up and Wave Overtopping at Dikes*, Technical Advisory Committee on Flood Defence, The Netherlands, Delft, May 2002.]. The wave overtopping depends on:\n",
"\n",
"* local water level $h$ (m)
\n",
"* significant wave height $H_{m0}$ (m)
\n",
"* spectral wave period $T_{m-1,0}$ (s)
\n",
"* wave direction with respect to North
\n",
"* dike normal with respect to North
\n",
"* crest height $y_{crest}$ (m)
"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "8f01ff35",
"metadata": {},
"outputs": [],
"source": [
"from utils.models import z_func_overtopping"
]
},
{
"cell_type": "markdown",
"id": "54341fc6",
"metadata": {},
"source": [
"To perform a reliability analysis, we create a reliability project and specify the limit state function (model):"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "784295d2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model z_func_overtopping:\n",
"Input parameters:\n",
" h\n",
" hm0\n",
" tm10\n",
" wave_direction\n",
" dike_normal\n",
" y_crest\n",
" q_crit\n",
"Output parameters:\n",
" Z\n"
]
}
],
"source": [
"project = ReliabilityProject()\n",
"project.model = z_func_overtopping\n",
"\n",
"project.model.print()"
]
},
{
"cell_type": "markdown",
"id": "704602bf",
"metadata": {},
"source": [
"We assume the following distributions for the parameters present in the limit state function:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "7a390139",
"metadata": {},
"outputs": [],
"source": [
"project.variables[\"h\"].distribution = DistributionType.log_normal\n",
"project.variables[\"h\"].mean = 1.5\n",
"project.variables[\"h\"].deviation = 0.05\n",
"\n",
"project.variables[\"hm0\"].distribution = DistributionType.log_normal\n",
"project.variables[\"hm0\"].mean = 1.5\n",
"project.variables[\"hm0\"].deviation = 0.25\n",
"\n",
"project.variables[\"tm10\"].distribution = DistributionType.log_normal\n",
"project.variables[\"tm10\"].mean = 3\n",
"project.variables[\"tm10\"].deviation = 0.5\n",
"\n",
"project.variables[\"wave_direction\"].distribution = DistributionType.deterministic\n",
"project.variables[\"wave_direction\"].mean = 0.0\n",
"\n",
"project.variables[\"dike_normal\"].distribution = DistributionType.deterministic\n",
"project.variables[\"dike_normal\"].mean = 0.0\n",
"\n",
"project.variables[\"y_crest\"].distribution = DistributionType.deterministic\n",
"project.variables[\"y_crest\"].mean = 6.0\n",
"\n",
"project.variables[\"q_crit\"].distribution = DistributionType.log_normal\n",
"project.variables[\"q_crit\"].mean = 0.001\n",
"project.variables[\"q_crit\"].deviation = 0.01"
]
},
{
"cell_type": "markdown",
"id": "3ce0cb4f",
"metadata": {},
"source": [
"### Perform reliability calculations with FORM\n",
"\n",
"We start with the reliability method `form`. The reliability analysis is executed using `project.run()`, and the results are accessed from `project.design_point`."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c05c3d51",
"metadata": {
"tags": [
"gallery",
"reliability"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability (FORM)\n",
" Reliability index = 1.27\n",
" Probability of failure = 0.1021\n",
" Convergence = 0.002751 (converged)\n",
" Model runs = 40\n",
"Alpha values:\n",
" h: alpha = -0.03435, x = 1.501\n",
" hm0: alpha = -0.3222, x = 1.583\n",
" tm10: alpha = -0.6338, x = 3.381\n",
" wave_direction: alpha = 0, x = 0\n",
" dike_normal: alpha = 0, x = 0\n",
" y_crest: alpha = 0, x = 6\n",
" q_crit: alpha = 0.7024, x = 1.465e-05\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.form\n",
"project.settings.relaxation_factor = 0.75\n",
"project.settings.maximum_iterations = 150\n",
"project.settings.epsilon_beta = 0.01\n",
"project.settings.save_realizations = True\n",
"project.settings.save_convergence = True\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()\n",
"project.design_point.plot_convergence()\n",
"project.design_point.plot_realizations()\n"
]
},
{
"cell_type": "markdown",
"id": "05c9d58c",
"metadata": {},
"source": [
"### Perform reliability calculations with Cobyla algorithm\n",
"\n",
"We now conduct the reliability analysis using the `cobyla_reliability` method."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "d78aa49e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability (Cobyla Reliability)\n",
" Reliability index = 1.315\n",
" Probability of failure = 0.09434\n",
" Model runs = 201\n",
"Alpha values:\n",
" h: alpha = 0.02234, x = 1.498\n",
" hm0: alpha = -0.1624, x = 1.533\n",
" tm10: alpha = -0.3441, x = 3.189\n",
" wave_direction: alpha = 0, x = 0\n",
" dike_normal: alpha = 0, x = 0\n",
" y_crest: alpha = 0, x = 6\n",
" q_crit: alpha = 0.9245, x = 7.312e-06\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.cobyla_reliability\n",
"project.settings.maximum_iterations = 200\n",
"project.settings.epsilon_beta = 0.01\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}