{
"cells": [
{
"cell_type": "markdown",
"id": "580bb11a",
"metadata": {},
"source": [
"# Numerical methods\n",
"\n",
"### Estimation of piping failure probability (Bligh's model)\n",
"\n",
"In this example, we will demonstrate the application of the numerical reliability methods (`numerical_integration` and `numerical_bisection`) to estimate the probability of failure of a levee due to piping mechanism. The failure mechanism is characterized here using the simple model of Bligh.\n",
"\n",
"### Define model\n",
"\n",
"First, we import the necessary classes:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "85d4d928",
"metadata": {},
"outputs": [],
"source": [
"from probabilistic_library import ReliabilityProject, DistributionType, ReliabilityMethod"
]
},
{
"cell_type": "markdown",
"id": "abea8d35",
"metadata": {},
"source": [
"The limit state function according to the piping model of Bligh is defined as follows:\n",
"\n",
"$Z = \\frac{m \\cdot L}{c_{creep}} -\\Delta H$\n",
"\n",
"where:
\n",
"\n",
"$\\Delta H$ is the difference between the water level on the levee and the water level in the polder (m)
\n",
"$L$ is the seepage path length (m)
\n",
"$m$ represents model uncertainty (-)
\n",
"$c_{creep}$ is the creep factor (-)\n",
"\n",
"The parameter $\\Delta H$ represents the imposed load, while $L$ stands for the strength of the levee. The creep factor value for very fine-grained sand is $18$."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "0b0141b1",
"metadata": {},
"outputs": [],
"source": [
"from utils.models import bligh"
]
},
{
"cell_type": "markdown",
"id": "ce64c89f",
"metadata": {},
"source": [
"To perform a reliability analysis, we create a reliability project and specify the limit state function (model):"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "ce33dcab",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model bligh:\n",
"Input parameters:\n",
" m\n",
" L\n",
" c_creep\n",
" delta_H\n",
"Output parameters:\n",
" Z\n"
]
}
],
"source": [
"project = ReliabilityProject()\n",
"project.model = bligh\n",
"\n",
"project.model.print()"
]
},
{
"cell_type": "markdown",
"id": "797b96a2",
"metadata": {},
"source": [
"We assume the following distributions for the parameters $m$, $L$, $c_{creep}$ and $\\Delta H$:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "1ad997ac",
"metadata": {},
"outputs": [],
"source": [
"project.variables[\"m\"].distribution = DistributionType.log_normal\n",
"project.variables[\"m\"].mean = 1.76\n",
"project.variables['m'].deviation = 1.69\n",
"\n",
"project.variables[\"L\"].distribution = DistributionType.normal\n",
"project.variables[\"L\"].mean = 50\n",
"project.variables[\"L\"].deviation = 2.5\n",
"\n",
"project.variables[\"c_creep\"].distribution = DistributionType.deterministic\n",
"project.variables[\"c_creep\"].mean = 18\n",
"\n",
"project.variables[\"delta_H\"].distribution = DistributionType.gumbel\n",
"project.variables[\"delta_H\"].shift = 0.53\n",
"project.variables[\"delta_H\"].scale = 0.406"
]
},
{
"cell_type": "markdown",
"id": "3304d708",
"metadata": {},
"source": [
"### Perform reliability calculations with Numerical Integration\n",
"\n",
"We start with the reliability method `numerical_integration`. The reliability analysis is executed using `project.run()`, and the results are accessed from `project.design_point`."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "7f9c2e81",
"metadata": {
"tags": [
"gallery",
"reliability"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability:\n",
" Reliability index = 1.661\n",
" Probability of failure = 0.0484\n",
" Model runs = 50001\n",
"Alpha values:\n",
" m: alpha = 0.8141, x = 0.4257\n",
" L: alpha = 0.04915, x = 49.8\n",
" c_creep: alpha = 0, x = 18\n",
" delta_H: alpha = -0.5787, x = 1.217\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.numerical_integration\n",
"project.settings.stochast_settings[\"m\"].intervals = 50\n",
"project.settings.stochast_settings[\"L\"].intervals = 20\n",
"project.settings.stochast_settings[\"delta_H\"].intervals = 50\n",
"project.settings.save_realizations = True\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()\n",
"project.design_point.plot_realizations()\n"
]
},
{
"cell_type": "markdown",
"id": "3c0b8b9d",
"metadata": {},
"source": [
"### Perform reliability calculations with Numerical bisection\n",
"\n",
"We now conduct the reliability analysis using the `numerical_bisection` method."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "3efabbf2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reliability (Numerical Bisection)\n",
" Reliability index = 1.66\n",
" Probability of failure = 0.04851\n",
" Convergence = 0.09003 (not converged)\n",
" Model runs = 10343\n",
"Alpha values:\n",
" m: alpha = 0.8233, x = 0.4207\n",
" L: alpha = 0.05128, x = 49.79\n",
" c_creep: alpha = 0, x = 18\n",
" delta_H: alpha = -0.5653, x = 1.202\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"project.settings.reliability_method = ReliabilityMethod.numerical_bisection\n",
"project.settings.minimum_iterations = 5\n",
"project.settings.maximum_iterations = 10\n",
"project.settings.epsilon_beta = 0.1\n",
"\n",
"project.run()\n",
"\n",
"project.design_point.print()\n",
"project.design_point.plot_alphas()\n",
"project.design_point.plot_realizations()"
]
}
],
"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
}