{ "cells": [ { "cell_type": "markdown", "id": "27f96909", "metadata": {}, "source": [ "# Simulating flux from casks\n", "\n", "As described in the [introduction](../about.md), the main goal of this package is to simulate the antineutrino flux emitted by spent nuclear fuel (SNF) casks. This is done using two main classes: {py:obj}`Spectrum ` and {py:obj}`Cask `, which are defined in the {py:obj}`snf_simulations.spec ` and {py:obj}`snf_simulations.cask ` modules, respectively.\n", "\n", "Once we've created a `Cask` object, we can use the {py:func}`get_total_spectrum ` method to create a `Spectrum` object representing the combined antineutrino spectrum from all isotopes in the cask." ] }, { "cell_type": "code", "execution_count": 1, "id": "efb2f7c3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] } ], "source": [ "from snf_simulations.cask import Cask\n", "\n", "# Create a Cask object for 100 kg of SNF from the Sizewell reactor\n", "reactor = \"sizewell\"\n", "mass = 10000 # 10 tonnes\n", "cask = Cask.from_reactor(reactor, total_mass=mass)\n", "print(cask)\n", "\n", "removal_time = 0.5 # years\n", "total_spec = cask.get_total_spectrum(removal_time=removal_time)\n", "print(total_spec)" ] }, { "cell_type": "markdown", "id": "0e8313ae", "metadata": {}, "source": [ "## Measuring the flux at a distance\n", "\n", "We can get a measure for the total antineutrino flux above a given energy threshold by integrating the the total spectrum. For inverse beta decay the threshold is 1.806 MeV, so we integrate above this energy to get the total flux of antineutrinos that can be detected." ] }, { "cell_type": "code", "execution_count": 2, "id": "2fcc34c1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total flux above 1.806 MeV: 2.397e+17 per second\n" ] } ], "source": [ "total_flux = total_spec.integrate(lower_energy=1806)\n", "print(f\"Total flux above 1.806 MeV: {total_flux:.3e} per second\")" ] }, { "cell_type": "markdown", "id": "9f4b1e2b", "metadata": {}, "source": [ "This is the total flux emitted in all directions. To get the flux at a given distance from the cask, we can then use the {py:obj}`calculate_flux_at_distance ` function from the {py:obj}`snf_simulations.physics ` module, which takes the total flux and the distance as arguments. It calculates the flux using the inverse square law:\n", "\n", "$$F(d) = \\frac{F_{tot}}{4 \\pi d^2}$$\n", "\n", "where $F(d)$ is the flux at distance $d$, and $F_{tot}$ is the total flux emitted by the cask isotropically." ] }, { "cell_type": "code", "execution_count": 3, "id": "0923ce7f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Single 10-tonne Sizewell cask at 40m after 0.5 years:\n", "Antineutrino flux:\n", " 1.192e+09 per cm2 per second\n", " 1.030e+14 per cm2 per day\n" ] } ], "source": [ "from snf_simulations.physics import calculate_flux_at_distance\n", "\n", "distance = 40 # meters\n", "flux_at_40m = calculate_flux_at_distance(total_flux, distance)\n", "\n", "print(\n", " f\"Single {cask.total_mass / 1000:.0f}-tonne {reactor.capitalize()} cask \"\n", " f\"at {distance}m after {removal_time} years:\"\n", ")\n", "print(\"Antineutrino flux:\")\n", "print(f\" {flux_at_40m:.3e} per cm2 per second\")\n", "print(f\" {flux_at_40m * 60 * 60 * 24:.3e} per cm2 per day\")" ] }, { "cell_type": "markdown", "id": "bf9b4781", "metadata": {}, "source": [ "## Simulating events in a detector\n", "\n", "Finally, we can calculate how that flux would convert into the number of events in our detector using the {py:func}`calculate_event_rate ` function.\n", "\n", ":::{note}\n", "At the moment only the VIDARR detector is supported. See [this GitHub Issue](https://github.com/ekneale/SNF-simulations/issues/26) for details.\n", ":::" ] }, { "cell_type": "code", "execution_count": 4, "id": "a2b80328", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Event rate in VIDARR detector:\n", " 1.773e-07 to 3.547e-07 per second\n", " 0.015 to 0.031 per day\n" ] } ], "source": [ "from snf_simulations.physics import calculate_event_rate\n", "\n", "rate_lower, rate_upper = calculate_event_rate(flux_at_40m, 0.2, 0.4)\n", "print(\"Event rate in VIDARR detector:\")\n", "print(f\" {rate_lower:.3e} to {rate_upper:.3e} per second\")\n", "print(f\" {rate_lower * 60 * 60 * 24:.3f} to {rate_upper * 60**2 * 24:.3f} per day\")" ] }, { "cell_type": "markdown", "id": "ba419643", "metadata": {}, "source": [ "We can plot how the event rate varies with distance from the cask." ] }, { "cell_type": "code", "execution_count": 5, "id": "add701eb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Get a range of distances\n", "distances = np.concatenate(([0.01, 0.05, 0.1, 0.5], np.linspace(1, 50, 50)))\n", "removal_time = 0.5 # years\n", "\n", "total_spec = cask.get_total_spectrum(removal_time=removal_time)\n", "total_flux = total_spec.integrate(lower_energy=1806)\n", "event_rates = []\n", "for distance in distances:\n", " flux_at_distance = calculate_flux_at_distance(total_flux, distance)\n", " rate_lower, rate_upper = calculate_event_rate(flux_at_distance, 0.2, 0.4)\n", " event_rates.append((rate_lower * 60 * 60 * 24, rate_upper * 60 * 60 * 24))\n", "event_rates = np.array(event_rates)\n", "\n", "figure = plt.figure(figsize=(10, 5))\n", "axes = figure.add_subplot(1, 1, 1)\n", "axes.fill_between(\n", " distances,\n", " event_rates[:, 0],\n", " event_rates[:, 1],\n", " color=\"blue\",\n", " alpha=0.3,\n", " label=\"Event rate range in VIDARR\",\n", ")\n", "axes.set_xlim(0, 50)\n", "axes.set_xlabel(\"Distance from cask [m]\")\n", "axes.set_ylabel(\"Event rate in VIDARR [events/day]\")\n", "axes.set_title(\n", " f\"Event rate in VIDARR detector vs distance from {reactor.capitalize()} cask\"\n", ")\n", "axes.set_yscale(\"log\")\n", "axes.grid()\n", "axes.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "60350bf0", "metadata": { "vscode": { "languageId": "plaintext" } }, "source": [ "Or we could plot how the event rate varies with time after removal from the reactor." ] }, { "cell_type": "code", "execution_count": 6, "id": "3794a770", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "removal_times = np.linspace(0, 20, 20) # years\n", "distance = 40 # meters\n", "\n", "event_rates = []\n", "for removal_time in removal_times:\n", " total_spec = cask.get_total_spectrum(removal_time=removal_time)\n", " total_flux = total_spec.integrate(lower_energy=1806)\n", " flux_at_distance = calculate_flux_at_distance(total_flux, distance)\n", " rate_lower, rate_upper = calculate_event_rate(flux_at_distance, 0.2, 0.4)\n", " event_rates.append((rate_lower * 60 * 60 * 24, rate_upper * 60 * 60 * 24))\n", "event_rates = np.array(event_rates)\n", "\n", "figure = plt.figure(figsize=(10, 5))\n", "axes = figure.add_subplot(1, 1, 1)\n", "axes.fill_between(\n", " removal_times,\n", " event_rates[:, 0],\n", " event_rates[:, 1],\n", " color=\"blue\",\n", " alpha=0.3,\n", " label=\"Event rate range in VIDARR\",\n", ")\n", "axes.set_xlim(0, 20)\n", "axes.set_xlabel(\"Time since removal from core [years]\")\n", "axes.set_ylabel(\"Event rate in VIDARR [events/day]\")\n", "axes.set_title(\n", " f\"Event rate in VIDARR detector vs time since removal \"\n", " f\"for {reactor.capitalize()} cask\"\n", ")\n", "axes.set_yscale(\"log\")\n", "axes.grid()\n", "axes.legend()\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "snf-simulations (3.10.12)", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }