{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Soil Models\n", "\n", "*Martin Vonk (2025)*\n", "\n", "## Overview\n", "\n", "Soil hydraulic models describe the relationship between:\n", "- **Pressure head (h)** - the soil water suction or tension\n", "- **Water content (θ)** - the volumetric water content\n", "- **Hydraulic conductivity (K)** - the ease of water movement through soil\n", "\n", "These relationships, known as the soil water retention curve (SWRC) and hydraulic conductivity function (HCF), are essential for modeling variably saturated groundwater flow.\n", "\n", "`pedon` provides different soil model formulations from the scientific literature. In this notebook, we'll demonstrate several of them and show how to compare their behavior." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import inspect\n", "import sys\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import pedon as pe" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Available Soil Models\n", "\n", "`pedon` includes the following soil hydraulic models from the literature:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Brooks',\n", " 'Fredlund',\n", " 'Gardner',\n", " 'Genuchten',\n", " 'GenuchtenGardner',\n", " 'Haverkamp',\n", " 'Panday',\n", " 'Protocol',\n", " 'Rucker',\n", " 'SoilModel']" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# classes for soil models\n", "soilmodels = [\n", " cls_name\n", " for cls_name, cls_obj in inspect.getmembers(sys.modules[\"pedon.soilmodel\"])\n", " if inspect.isclass(cls_obj)\n", "]\n", "soilmodels" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up Common Parameters\n", "\n", "We'll use typical soil properties throughout this notebook. Note: `pedon` does not assume units, but it's good practice to be consistent. Here we use cm for length and cm/d for conductivity." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# shared properties\n", "k_s = 100 # saturated conductivity [cm/d]\n", "theta_r = 0.03 # residual water content [-]\n", "theta_s = 0.42 # saturated water content [-]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Mualem-van Genuchten\n", "alpha = 0.04 # shape parameter [1/cm]\n", "n = 1.4 # shape parameter [-]\n", "\n", "gen = pe.Genuchten(\n", " k_s=k_s,\n", " theta_r=theta_r,\n", " theta_s=theta_s,\n", " alpha=alpha,\n", " n=n,\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Brooks-Corey\n", "h_b = 10 # bubbling pressure [cm]\n", "# connectivity parameter [-]\n", "l = 1.1 # noqa: E741\n", "\n", "bro = pe.Brooks(\n", " k_s=k_s,\n", " theta_r=theta_r,\n", " theta_s=theta_s,\n", " h_b=h_b,\n", " l=l,\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# haverkamp\n", "alpha = 1.611e6\n", "beta = 3.96\n", "a = 1.175e6\n", "hav = pe.Haverkamp(\n", " k_s=k_s,\n", " theta_r=theta_r,\n", " theta_s=theta_s,\n", " alpha=alpha,\n", " beta=beta,\n", " a=a,\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Gardner-Kozeny\n", "c = 0.005 # shape parameter k curve\n", "m = 0.01 # shape parameter theta curve\n", "gar = pe.Gardner(k_s=k_s, theta_s=theta_s, c=c, m=m)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Fredlund-Xing\n", "a = 10.0 # shape parameter\n", "n = 5.0 # shape parameter\n", "m = 0.5 # shape parameter\n", "fre = pe.Fredlund(\n", " k_s=k_s,\n", " theta_s=theta_s,\n", " a=a,\n", " n=n,\n", " m=m,\n", ")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Quick plot method\n", "ax = gen.plot()\n", "bro.plot(ax=ax)\n", "gar.plot(ax=ax)\n", "hav.plot(ax=ax)\n", "fre.plot(ax=ax)\n", "ax.set_xlim(0.0, 0.5)\n", "ax.legend();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '|ψ| [cm]')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# More extensive plot method\n", "f, axs = plt.subplots(1, 2, figsize=(7.0, 6.0), sharey=True, layout=\"tight\")\n", "\n", "pe.plot_swrc(gen, ax=axs[0])\n", "pe.plot_swrc(bro, ax=axs[0])\n", "pe.plot_swrc(gar, ax=axs[0])\n", "pe.plot_swrc(hav, ax=axs[0])\n", "pe.plot_swrc(fre, ax=axs[0])\n", "axs[0].set_title(\"Soil Water Retention Curve\")\n", "axs[0].set_xlabel(\"\\N{GREEK SMALL LETTER THETA} [-]\")\n", "axs[0].set_xlim(-0.01, 0.5)\n", "\n", "pe.plot_hcf(gen, ax=axs[1])\n", "pe.plot_hcf(bro, ax=axs[1])\n", "pe.plot_hcf(gar, ax=axs[1])\n", "pe.plot_hcf(hav, ax=axs[1])\n", "pe.plot_hcf(fre, ax=axs[1])\n", "axs[1].set_title(\"Hydraulic Conductivity Function\")\n", "axs[1].set_xlabel(\"Ks [cm/d]\")\n", "axs[1].set_xscale(\"log\")\n", "axs[1].set_xlim(1e-10, 1e3)\n", "\n", "axs[0].set_yscale(\"log\")\n", "axs[0].set_ylabel(\"|\\N{GREEK SMALL LETTER PSI}| [cm]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other soil models that are available are Panday (combination of Genuchten and Brooks-Corey). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating Custom Soil Models\n", "\n", "The built-in models cover most common use cases, but `pedon` also supports creating your own custom soil models.\n", "\n", "Custom models are useful when:\n", "- You need to implement a proprietary or research-specific formulation\n", "- You want to combine features from different models\n", "- You're testing new hydraulic function formulations\n", "\n", "The key requirement is implementing the `SoilModel` protocol, which defines six methods: `theta()`, `s()`, `k_r()`, `k()`, `h()`, and `plot()`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[31mInit signature:\u001b[39m pe.SoilModel(*args, **kwargs)\n", "\u001b[31mDocstring:\u001b[39m \n", "Protocol for soil models\n", "\n", "This protocol defines the interface for custom soil models. To create a custom\n", "soil model, implement all methods defined below. Your class will automatically\n", "conform to this protocol.\n", "\n", "Example:\n", " >>> @dataclass\n", " ... class CustomModel:\n", " ... k_s: float\n", " ... theta_s: float\n", " ...\n", " ... def theta(self, h: FloatArray) -> FloatArray:\n", " ... # Calculate soil moisture content from pressure head\n", " ... return ...\n", " ...\n", " ... def s(self, h: FloatArray) -> FloatArray:\n", " ... # Calculate effective saturation from pressure head\n", " ... return (self.theta(h) - theta_r) / (theta_s - theta_r)\n", " ...\n", " ... def k_r(self, h: FloatArray, s: FloatArray | None = None) -> FloatArray:\n", " ... # Calculate relative permeability from pressure head or saturation\n", " ... return ...\n", " ...\n", " ... def k(self, h: FloatArray, s: FloatArray | None = None) -> FloatArray:\n", " ... # Calculate hydraulic conductivity from pressure head or saturation\n", " ... return self.k_s * self.k_r(h=h, s=s)\n", " ...\n", " ... def h(self, theta: FloatArray) -> FloatArray:\n", " ... # Inverse of theta method\n", " ... return ...\n", " ...\n", " ... def plot(self, ax: plt.Axes | None = None) -> plt.Axes:\n", " ... # Plot the soil water retention curve by calling `plot_swrc`\n", " ... return plot_swrc(self, ax=ax)\n", "\u001b[31mFile:\u001b[39m ~/repos/pedon/src/pedon/soilmodel.py\n", "\u001b[31mType:\u001b[39m _ProtocolMeta\n", "\u001b[31mSubclasses:\u001b[39m " ] } ], "source": [ "pe.SoilModel?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from dataclasses import dataclass\n", "\n", "\n", "@dataclass\n", "class CustomSoilModel:\n", " \"\"\"Power-law soil model with custom permeability\n", "\n", " A more flexible model that uses power-law relationships for both\n", " water retention and relative permeability.\n", " \"\"\"\n", "\n", " k_s: float # Saturated hydraulic conductivity [cm/d]\n", " theta_r: float # Residual water content [-]\n", " theta_s: float # Saturated water content [-]\n", " h_ref: float # Reference pressure head [cm]\n", " power_retention: float # Power exponent for retention curve\n", " power_conductivity: float # Power exponent for conductivity\n", "\n", " def theta(self, h):\n", " \"\"\"Water content using power law\"\"\"\n", " # Normalized pressure head\n", " h_norm = np.abs(h) / self.h_ref\n", "\n", " s = 1.0 / (1.0 + h_norm**self.power_retention)\n", " return self.theta_r + (self.theta_s - self.theta_r) * s\n", "\n", " def s(self, h):\n", " \"\"\"Effective saturation\"\"\"\n", " return (self.theta(h) - self.theta_r) / (self.theta_s - self.theta_r)\n", "\n", " def k_r(self, h, s=None):\n", " \"\"\"Relative permeability\"\"\"\n", " if s is None:\n", " s = self.s(h)\n", " # Custom power law for conductivity\n", " return s**self.power_conductivity\n", "\n", " def k(self, h, s=None):\n", " \"\"\"Hydraulic conductivity\"\"\"\n", " return self.k_s * self.k_r(h=h, s=s)\n", "\n", " def h(self, theta):\n", " \"\"\"Inverse function\"\"\"\n", " s = (theta - self.theta_r) / (self.theta_s - self.theta_r)\n", " # From: s = 1/(1 + h_norm^power) => h_norm = (1/s - 1)^(1/power)\n", " h_norm = (1.0 / s - 1.0) ** (1.0 / self.power_retention)\n", " return h_norm * self.h_ref\n", "\n", " def plot(self, ax=None):\n", " \"\"\"Plot the soil water retention curve\"\"\"\n", " return pe.plot_swrc(self, ax=ax)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Create instances with different exponents\n", "soil_one = CustomSoilModel(\n", " k_s=10,\n", " theta_r=0.02,\n", " theta_s=0.4,\n", " h_ref=10.0,\n", " power_retention=2.5,\n", " power_conductivity=4.0,\n", ")\n", "\n", "soil_two = CustomSoilModel(\n", " k_s=200,\n", " theta_r=0.08,\n", " theta_s=0.45,\n", " h_ref=5.0,\n", " power_retention=1.0,\n", " power_conductivity=2.0,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the duck typing the CustomSoilModel is checkable as an instance of the SoilModel protocol. This ensures that the model can also be used for other methods in pedon." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CustomSoilModel (clay) is a SoilModel: True\n", "CustomSoilModel (sand) is a SoilModel: True\n" ] } ], "source": [ "print(f\"CustomSoilModel (clay) is a SoilModel: {isinstance(soil_one, pe.SoilModel)}\")\n", "print(f\"CustomSoilModel (sand) is a SoilModel: {isinstance(soil_two, pe.SoilModel)}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quick plot to check if it works." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = soil_one.plot()\n", "soil_two.plot(ax=ax)" ] } ], "metadata": { "kernelspec": { "display_name": "pedon (3.13.5)", "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": "3.13.5" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }