.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "api/gallery/plate_tectonics/plot_14_forsyth_uyeda_slab_pull.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_api_gallery_plate_tectonics_plot_14_forsyth_uyeda_slab_pull.py>`
        to download the full example code or to run this example in your browser via JupyterLite.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_api_gallery_plate_tectonics_plot_14_forsyth_uyeda_slab_pull.py:


Forsyth and Uyeda's slab pull (1975)
====================================

Donald Forsyth and Seiya Uyeda compared the forces on each plate and found
that plates attached to sinking slabs move fastest. Per metre of trench, the
excess weight of a cold slab exceeds ridge push by about an order of
magnitude. Ridge push uses the half-space formula of Turcotte and Schubert.

.. GENERATED FROM PYTHON SOURCE LINES 10-34



.. image-sg:: /api/gallery/plate_tectonics/images/sphx_glr_plot_14_forsyth_uyeda_slab_pull_001.png
   :alt: Slabs pull harder than ridges push
   :srcset: /api/gallery/plate_tectonics/images/sphx_glr_plot_14_forsyth_uyeda_slab_pull_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    from earthsciencekit.constants import GRAVITY
    from earthsciencekit.plate_tectonics import slab_pull_force
    from earthsciencekit.units import convert

    mantle, water, expansivity, excess_temperature, diffusivity = 3300.0, 1000.0, 3e-5, 1280.0, 1e-6
    age = convert(100e6, "year", "s")
    buoyancy = 2 * mantle * expansivity * excess_temperature / (np.pi * (mantle - water))
    ridge_push = GRAVITY * mantle * expansivity * excess_temperature * diffusivity * age * (1 + buoyancy)
    density_excess = mantle * expansivity * excess_temperature / 2
    length = np.linspace(0, 700e3, 71)
    pull = slab_pull_force(density_excess, 100e3 * length, GRAVITY)
    assert float(slab_pull_force(density_excess, 100e3 * 600e3, GRAVITY)) > 5 * ridge_push

    fig, ax = plt.subplots()
    ax.plot(length / 1e3, pull / 1e12, label="slab pull, 100 km thick slab")
    ax.axhline(ridge_push / 1e12, color="tab:red", ls="--", label="ridge push, 100 million year plate")
    ax.set(xlabel="slab length [km]", ylabel="force per trench length [10^12 N/m]", title="Slabs pull harder than ridges push")
    ax.legend()

    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.084 seconds)


.. _sphx_glr_download_api_gallery_plate_tectonics_plot_14_forsyth_uyeda_slab_pull.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: lite-badge

      .. image:: images/jupyterlite_badge_logo.svg
        :target: ../../../lite/lab/index.html?path=api/gallery/plate_tectonics/plot_14_forsyth_uyeda_slab_pull.ipynb
        :alt: Launch JupyterLite
        :width: 150 px

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_14_forsyth_uyeda_slab_pull.ipynb <plot_14_forsyth_uyeda_slab_pull.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_14_forsyth_uyeda_slab_pull.py <plot_14_forsyth_uyeda_slab_pull.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_14_forsyth_uyeda_slab_pull.zip <plot_14_forsyth_uyeda_slab_pull.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_