.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "content/examples/07-nsem/plot_fwd_nsem_MTTipper3D.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_content_examples_07-nsem_plot_fwd_nsem_MTTipper3D.py>`
        to download the full example code

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

.. _sphx_glr_content_examples_07-nsem_plot_fwd_nsem_MTTipper3D.py:


MT: 3D: Forward
===============

Forward model 3D MT data.

Test script to use SimPEG.NSEM platform to forward model
impedance and tipper synthetic data.

.. GENERATED FROM PYTHON SOURCE LINES 10-131



.. rst-class:: sphx-glr-horizontal


    *

      .. image-sg:: /content/examples/07-nsem/images/sphx_glr_plot_fwd_nsem_MTTipper3D_001.png
         :alt: Slice 15
         :srcset: /content/examples/07-nsem/images/sphx_glr_plot_fwd_nsem_MTTipper3D_001.png
         :class: sphx-glr-multi-img

    *

      .. image-sg:: /content/examples/07-nsem/images/sphx_glr_plot_fwd_nsem_MTTipper3D_002.png
         :alt: plot fwd nsem MTTipper3D
         :srcset: /content/examples/07-nsem/images/sphx_glr_plot_fwd_nsem_MTTipper3D_002.png
         :class: sphx-glr-multi-img





.. code-block:: Python


    import discretize
    from SimPEG.electromagnetics import natural_source as NSEM
    from SimPEG import utils
    import numpy as np
    import matplotlib.pyplot as plt

    try:
        from pymatsolver import Pardiso as Solver
    except ImportError:
        from SimPEG import Solver


    def run(plotIt=True):
        """
        MT: 3D: Forward
        ===============

        Forward model 3D MT data.

        """

        # Make a mesh
        M = discretize.TensorMesh(
            [
                [(100, 9, -1.5), (100.0, 13), (100, 9, 1.5)],
                [(100, 9, -1.5), (100.0, 13), (100, 9, 1.5)],
                [(50, 10, -1.6), (50.0, 10), (50, 6, 2)],
            ],
            x0=["C", "C", -14926.8217],
        )
        # Setup the model
        conds = [1, 1e-2]
        sig = utils.model_builder.create_block_in_wholespace(
            M.gridCC, [-100, -100, -350], [100, 100, -150], conds
        )
        sig[M.gridCC[:, 2] > 0] = 1e-8
        sig[M.gridCC[:, 2] < -1000] = 1e-1
        sigBG = np.zeros(M.nC) + conds[1]
        sigBG[M.gridCC[:, 2] > 0] = 1e-8
        if plotIt:
            collect_obj = M.plot_slice(np.log10(sig), grid=True, normal="X")[0]
            plt.colorbar(collect_obj)

        # Setup the the survey object
        # Receiver locations
        rx_x, rx_y = np.meshgrid(np.arange(-600, 601, 100), np.arange(-600, 601, 100))
        rx_loc = np.hstack(
            (utils.mkvc(rx_x, 2), utils.mkvc(rx_y, 2), np.zeros((np.prod(rx_x.shape), 1)))
        )

        # Make a receiver list
        receiver_list = []
        for rx_orientation in ["xx", "xy", "yx", "yy"]:
            receiver_list.append(NSEM.Rx.PointNaturalSource(rx_loc, rx_orientation, "real"))
            receiver_list.append(NSEM.Rx.PointNaturalSource(rx_loc, rx_orientation, "imag"))
        for rx_orientation in ["zx", "zy"]:
            receiver_list.append(NSEM.Rx.Point3DTipper(rx_loc, rx_orientation, "real"))
            receiver_list.append(NSEM.Rx.Point3DTipper(rx_loc, rx_orientation, "imag"))

        # Source list
        source_list = [
            NSEM.Src.PlanewaveXYPrimary(receiver_list, freq)
            for freq in np.logspace(4, -2, 13)
        ]
        # Survey MT
        survey = NSEM.Survey(source_list)

        # Setup the problem object
        problem = NSEM.Simulation3DPrimarySecondary(
            M,
            survey=survey,
            solver=Solver,
            sigma=sig,
            sigmaPrimary=sigBG,
            forward_only=True,
        )

        # Calculate the data
        # data = problem.make_synthetic_data(relative_error=0.1, add_noise=True)
        data = NSEM.Data(survey=survey, dobs=problem.dpred())
        # Add standard deviation to the data - 10% relative error and 0 floor
        data.relative_error = 0.1
        data.noise_floor = 0.0

        # Add plots
        if plotIt:
            # Plot the data
            # On and off diagonal (on left and right axis, respectively)
            fig, axes = plt.subplots(2, 1, figsize=(7, 5))
            plt.subplots_adjust(right=0.8)
            [(ax.invert_xaxis(), ax.set_xscale("log")) for ax in axes]
            ax_r, ax_p = axes
            ax_r.set_yscale("log")
            ax_r.set_ylabel("Apparent resistivity [xy-yx]")
            ax_r_on = ax_r.twinx()
            ax_r_on.set_yscale("log")
            ax_r_on.set_ylabel("Apparent resistivity [xx-yy]")
            ax_p.set_ylabel("Apparent phase")
            ax_p.set_xlabel("Frequency [Hz]")
            # Start plotting
            ax_r = data.plot_app_res(
                np.array([-200, 0]), components=["xy", "yx"], ax=ax_r, errorbars=True
            )
            ax_r_on = data.plot_app_res(
                np.array([-200, 0]), components=["xx", "yy"], ax=ax_r_on, errorbars=True
            )
            ax_p = data.plot_app_phs(
                np.array([-200, 0]),
                components=["xx", "xy", "yx", "yy"],
                ax=ax_p,
                errorbars=True,
            )
            ax_p.legend(bbox_to_anchor=(1.05, 1), loc=2)


    if __name__ == "__main__":
        do_plots = True
        run(do_plots)
        if do_plots:
            plt.show()


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

   **Total running time of the script:** (3 minutes 11.869 seconds)

**Estimated memory usage:**  1017 MB


.. _sphx_glr_download_content_examples_07-nsem_plot_fwd_nsem_MTTipper3D.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_fwd_nsem_MTTipper3D.ipynb <plot_fwd_nsem_MTTipper3D.ipynb>`

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

      :download:`Download Python source code: plot_fwd_nsem_MTTipper3D.py <plot_fwd_nsem_MTTipper3D.py>`


.. only:: html

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

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