{ "cells": [ { "cell_type": "markdown", "id": "4ec25494-49d2-45d8-b3c3-aa6a5a47632c", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Lenapy for spherical harmonics and gravity data\n", "Lenapy includes functions to read and process spherical harmonics and gravity data.\n", "\n", "These function are accessible to be applied to a dataset using *xarray* accessor. With a xr.Dataset instance ds, one can call the function to be applied onto ds with **ds.lnharmo.func()**.\n", "\n", "The corresponding functions are located in the package *lenapy.utils* (for **lnharmo** it corresponds to function mainly from *lenapy.utils.harmo* and *lenapy.utils.gravity*).\n", "\n", "## Imports\n", "Lenapy is an overlayer of xarray. For using lenapy fonctionnalities you need to import both xarray and lenapy." ] }, { "cell_type": "code", "execution_count": 32, "id": "bf0ea491-b215-42d8-9583-90f5935ce724", "metadata": {}, "outputs": [], "source": [ "import xarray as xr\n", "import lenapy\n", "\n", "import os\n", "import numpy as np\n", "\n", "# for plotting:\n", "import matplotlib.pyplot as plt\n", "import cartopy.crs as ccrs" ] }, { "cell_type": "markdown", "id": "4683c0ff-9143-4810-b87f-f74aeae519ae", "metadata": {}, "source": [ "## Reading\n", "Reader implemented in lenapy are an overlayer for the *xr.open_dataset()* function of xarray. To use this reader, you need to modify the argument *engine=* with *'lenapyGfc'* or *'lenapyGraceL2'*.\n", "\n", "The data are loaded into a dataset with 'clm' and 'slm' variables. If errors information are available they are load into 'eclm' and 'eslm' variables.\n", "\n", "Metadata informations are saved into attributs accesible with ds.attrs\n", "\n", "### ascii file with .gfc format reading\n", "File that follow the .gfc format can be read with lenapy (https://icgem.gfz-potsdam.de/docs/ICGEM-Format-2023.pdf) using *engine='lenapyGfc'*.\n", "\n", "If the model name (in the header of the .gfc file) does not contain date information, use no_date=True.\n", "\n", "The reader *'lenapyGfc'* can be given *date_regex* and *date_format* arguments to specify the exact date information. See the function documentation for more details.\n", "\n", "**You can download the corresponding files on the [ICGEM website](https://icgem.gfz-potsdam.de/sl/temporal).**\n", "\n", "### gfct temporal files\n", "If your .gfc file contains temporal informations in the format icgem1.0 or icgem2.0, it can be read with lenapy too.\n", "\n", "You then need to use the function *lenapy.utils.gravity.gfct_field_estimation()* to estimate the gravity field at certain dates." ] }, { "cell_type": "code", "execution_count": 33, "id": "d287106d-dcfe-4552-a9c9-8ec5a7ab2bd1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.Dataset> Size: 266kB\n",
       "Dimensions:     (l: 91, m: 91, time: 1)\n",
       "Coordinates:\n",
       "  * l           (l) int64 728B 0 1 2 3 4 5 6 7 8 ... 82 83 84 85 86 87 88 89 90\n",
       "  * m           (m) int64 728B 0 1 2 3 4 5 6 7 8 ... 82 83 84 85 86 87 88 89 90\n",
       "  * time        (time) datetime64[ns] 8B 2002-08-16T12:00:00\n",
       "Data variables:\n",
       "    clm         (l, m, time) float64 66kB ...\n",
       "    slm         (l, m, time) float64 66kB ...\n",
       "    eclm        (l, m, time) float64 66kB ...\n",
       "    eslm        (l, m, time) float64 66kB ...\n",
       "    begin_time  (time) datetime64[ns] 8B ...\n",
       "    end_time    (time) datetime64[ns] 8B ...\n",
       "    exact_time  (time) datetime64[ns] 8B ...\n",
       "Attributes:\n",
       "    product_name:            GSM-2_2002213-2002243_GRAC_COSTG_BF01_0100\n",
       "    earth_gravity_constant:  398600441500000.0\n",
       "    radius:                  6378136.3\n",
       "    norm:                    4pi\n",
       "    tide_system:             tide_free\n",
       "    max_degree:              90\n",
       "    errors:                  empirical\n",
       "    modelname:               GSM-2_2002213-2002243_GRAC_COSTG_BF01_0100
" ], "text/plain": [ " Size: 266kB\n", "Dimensions: (l: 91, m: 91, time: 1)\n", "Coordinates:\n", " * l (l) int64 728B 0 1 2 3 4 5 6 7 8 ... 82 83 84 85 86 87 88 89 90\n", " * m (m) int64 728B 0 1 2 3 4 5 6 7 8 ... 82 83 84 85 86 87 88 89 90\n", " * time (time) datetime64[ns] 8B 2002-08-16T12:00:00\n", "Data variables:\n", " clm (l, m, time) float64 66kB ...\n", " slm (l, m, time) float64 66kB ...\n", " eclm (l, m, time) float64 66kB ...\n", " eslm (l, m, time) float64 66kB ...\n", " begin_time (time) datetime64[ns] 8B ...\n", " end_time (time) datetime64[ns] 8B ...\n", " exact_time (time) datetime64[ns] 8B ...\n", "Attributes:\n", " product_name: GSM-2_2002213-2002243_GRAC_COSTG_BF01_0100\n", " earth_gravity_constant: 398600441500000.0\n", " radius: 6378136.3\n", " norm: 4pi\n", " tide_system: tide_free\n", " max_degree: 90\n", " errors: empirical\n", " modelname: GSM-2_2002213-2002243_GRAC_COSTG_BF01_0100" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# April 2002 .gfc from GRAZ center\n", "file = '../../data/GSM-2_2002213-2002243_GRAC_COSTG_BF01_0100.gfc'\n", "\n", "ds = xr.open_dataset(file, engine='lenapyGfc', no_date=False)\n", "ds" ] }, { "cell_type": "markdown", "id": "c62cda1e-ef21-4929-9c5e-c7c10202f337", "metadata": {}, "source": [ "The dataset is composed of three dimensions : **l** for the degree dimension, **m** for the order dimension and **time** for the temporal dimension.\n", "\n", "It contains **clm** and **slm** variables that are 3D array corresponding to Stokes coefficients. If the corresponding informations are available in the original file, the formal errors of Stokes coefficients are loaded in variables **eclm** and **eslm** and temporal informations corresponding of the first/last date of the data used to create the file as well as the exact time of the date between first and last date are stored.\n", "\n", "The attributes of the dataset (**ds.attrs**) contain metadata information related to the Stokes coefficients" ] }, { "cell_type": "markdown", "id": "16f457d9-a626-401f-a67a-91eec25bcbc0", "metadata": {}, "source": [ "### Multifiles\n", "We can also use xr.open_mfdatasets() to open multiple files.\n", "\n", "For example you can load a list of the files in a directory with\n", "\n", "> files = os.listdir(folder_path)\n", "> \n", "> ds = xr.open_mfdataset(files, engine='lenapyGfc', combine_attrs=\"drop_conflicts\")" ] }, { "cell_type": "markdown", "id": "90084290-cf8d-4933-a2fb-1f7b85a9127b", "metadata": {}, "source": [ "### ascii file with Level 2 GRACE format\n", "File from GRACE Level-2 SDS centers (CSR, GFZ, JPL) and from CNES can be read with engine='lenapyGraceL2'.\n", "\n", "**You can download CNES files [here](https://grace.obs-mip.fr/variable-models-grace-lageos/grace-solutions-release-05/rl05-download-products/) or CSR/GFZ/JPL files [here](https://podaac.jpl.nasa.gov/dataset/GRACEFO_L2_CSR_MONTHLY_0062).**\n", "\n", "The reading works for compressed files. For example :\n", "> file_csr = os.path.join(folder_path, 'GSM-2_2002213-2002243_GRAC_UTCSR_BB01_0600.gz'\n", ">\n", "> ds_csr = xr.open_dataset(file_csr, engine='lenapyGraceL2')" ] }, { "cell_type": "markdown", "id": "303daf4c-311f-4bc3-9ddc-37c230f39934", "metadata": {}, "source": [ "## Apply L2 -> L2B coefficient corrections\n", "For the following demonstration, we use COST-G products (GRACE RL01 + GRACE-FO operational RL02) between 2002 and December 2022." ] }, { "cell_type": "code", "execution_count": 50, "id": "87763e92-1798-4d55-9abf-4bc41c06a3a1", "metadata": {}, "outputs": [], "source": [ "# Dataset with COST-G months of GRACE and GRACE-FO\n", "ds_path = '../../data/COSTG_n12_2002_2022.nc'\n", "\n", "ds = xr.open_dataset(ds_path)" ] }, { "cell_type": "markdown", "id": "1d877b37a8077eee", "metadata": {}, "source": [ "### Apply simple spatial filtering\n", "GRACE products need to be filtered to remove north-south striping. It can be done with a gaussian filter in lenapy." ] }, { "cell_type": "code", "execution_count": 51, "id": "ff65f55ed42f674f", "metadata": {}, "outputs": [], "source": [ "from lenapy.utils.gravity import gauss_weights\n", "\n", "# radius in meters\n", "ds_gauss_weights = gauss_weights(radius=300000, lmax=12)\n", "\n", "ds_filtered = ds.lnharmo * ds_gauss_weights" ] }, { "cell_type": "markdown", "id": "4de413ac-fdd9-4162-928a-bee79ec60e0a", "metadata": {}, "source": [ "### Read TN14\n", "Both TN14 and TN13 dataset can be download here : [https://podaac.jpl.nasa.gov/gravity/grace-documentation#TechnicalNotes](https://podaac.jpl.nasa.gov/gravity/grace-documentation#TechnicalNotes)\n", "\n", "$C_{2,0}$ coefficient has a large uncertainty for GRACE products compared to other determination with SLR satellites. It is the same for $C_{3,0}$ coefficient after August 2016 and the accelerometer failure of one GRACE and GRACE-FO satellite.\n", "\n", "To improve the quality of GRACE products, supplementary dataset, TN14, that can be used to corrected these coefficients is delivered by the processing centers.\n", "\n", "The function read the time-series with or without the mean value using the argument **rmmean=** (False by default)." ] }, { "cell_type": "code", "execution_count": 52, "id": "44161857-e83d-491c-8dc3-552dc39e2aff", "metadata": {}, "outputs": [], "source": [ "from lenapy.readers.gravi_reader import read_tn14, read_tn13\n", "\n", "ds_C20_C30 = read_tn14('../../data/TN-14_C30_C20_GSFC_SLR.txt', rmmean=False)" ] }, { "cell_type": "markdown", "id": "c2b84492-b45b-4d35-85dc-e6fbad431370", "metadata": {}, "source": [ "To be really precise, you need to change the Earth radius associated to the coefficients used for the correction so that it correspond to the constant associated the the GRACE product used (COST-G here) and then you can replace the coefficients in the product.\n", "\n", "The function **change_reference()** read the *'radius'* and *'earth_gravity_constant'* initial and final variables from the dataset.attrs or they can be given with optionnal attributes of the function.\n", "\n", "**Note that the modification for coefficient $C_{2,0}$ and $C_{3,0}$ is negligeable**" ] }, { "cell_type": "code", "execution_count": 53, "id": "f5935aef-442b-4ce0-adca-374de3df3737", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from lenapy.utils.gravity import change_reference\n", "\n", "ds_C20_C30 = change_reference(ds_C20_C30, new_radius=ds.attrs['radius'], new_earth_gravity_constant=ds.attrs['earth_gravity_constant'])\n", "\n", "ds.clm.sel(l=2, m=0).plot(label='COST-G $C_{2,0}$')\n", "# Correct C20\n", "ds.clm.loc[{'l':2, 'm':0}] = ds_C20_C30.clm.sel(l=2, m=0, time=ds.time)\n", "ds.clm.sel(l=2, m=0).plot(label='TN14 $C_{2,0}$')\n", "plt.legend()\n", "\n", "plt.figure()\n", "ds.clm.sel(l=3, m=0).plot(label='COST-G $C_{3,0}$')\n", "# Correct C30 after July 2016 for GRACE and GRACE-FO (start on August 2016)\n", "ds.clm.loc[{'l':3, 'm':0, 'time':slice('2016-08-01', None)}] = ds_C20_C30.clm.sel(l=3, m=0, time=slice('2016-08-01', str(ds.time.values[-1])[:10]))\n", "ds.clm.sel(l=3, m=0).plot(label='TN14 $C_{3,0}$')\n", "plt.xlim(np.datetime64('2016-01-01'), np.datetime64('2023-01-01'))\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "be999b2c-620f-4499-a5d4-b6bef7192fed", "metadata": { "execution": { "iopub.execute_input": "2024-11-28T13:37:56.138057Z", "iopub.status.busy": "2024-11-28T13:37:56.137555Z", "iopub.status.idle": "2024-11-28T13:37:56.147626Z", "shell.execute_reply": "2024-11-28T13:37:56.146116Z", "shell.execute_reply.started": "2024-11-28T13:37:56.138014Z" } }, "source": [ "### Read TN13\n", "GRACE products does not contain degree 1 coefficients and are then referenced with an origin corresponding to the center of mass of the Earth. To add degree 1 coefficient, processing centers are delevering TN13, degree 1 time-series product. Each SDS centers has is own TN13 file that is generated with center products using Sun et al. 2016 and Swenson et al. 2008.\n", "\n", "To read and apply the correction\n", "\n", "> ds_deg1 = lenapy.readers.gravi_reader.read_tn13('TN-13_GEOC_CSR_RL06.2.txt')\n", ">\n", "> ds.clm.loc[{'l':1, 'm':0}] = ds_deg1.clm.sel(l=1, m=0, time=ds.time)\n", ">\n", "> ds.clm.loc[{'l':1, 'm':1}] = ds_deg1.clm.sel(l=1, m=1, time=ds.time)\n", ">\n", "> ds.slm.loc[{'l':1, 'm':1}] = ds_deg1.slm.sel(l=1, m=1, time=ds.time)" ] }, { "cell_type": "markdown", "id": "49c6817a-e53e-4995-9f08-6185553cf8d1", "metadata": {}, "source": [ "## Projecting spherical harmonics into spatial grid\n", "### Details of the projection\n", "\n", "$C_{l,m}$ and $S_{l,m}$ coefficients can be projected on a grid with an associated radius $R$ using the formula:\n", "\n", "$\\eta(\\lambda, \\theta) = \\sum_{l=0}^{l_{max}} \\zeta_l \\sum_{m=0}^{l} \\lbrack C_{l,m}\\cos(m\\lambda) + S_{l,m}\\sin(m\\lambda)\\rbrack P_{l,m}(\\cos \\theta)$\n", "\n", "$\\lambda$ is the longitude, $\\theta$ is the colatitude, $P_{l,m}$ are normalized Legendre polynomials.\n", "\n", "By default, the $R$ correspond to **ds.attrs['radius']** but it can be changed with **lenapy.utils.gravi.change_reference()**.\n", "\n", "#### EWH (default unit)\n", "To project onto Equivalent Water Height unit, in the above formula:\n", "\n", "$\\zeta_l = \\frac{R\\rho_{earth}}{3\\rho_{water}}~\\frac{2l+1}{1+k_l}$\n", "\n", "With $\\rho_{earth}$ the mean earth density, $\\rho_{water}$ the water density, $k_l$ the potential loading love numbers and $R$ the Earth mean equatorial radius.\n", "\n", "The using R correspond to **ds.attrs['radius']**.\n", "\n", "#### Other units\n", "You can also transform Stokes coefficients into different units with appropriate $\\zeta_l$. \n", "\n", "Here is a list of the units :\n", "- 'mewh' for meters of EWH\n", "- 'geoid' for millimeters geoid height\n", "- 'microGal' for microGal gravity perturbation\n", "- 'potential' for meters^2.seconds^-2\n", "- 'pascal' for equivalent surface pressure\n", "- 'mvcu' for meters viscoelastic crustal uplift\n", "- 'mecu' for meters elastic crustal deformation" ] }, { "cell_type": "markdown", "id": "22b1791d-a336-4c78-a607-36af3640d702", "metadata": {}, "source": [ "### Function for the conversion\n", "The conversion can be used as a method onto the dataset with an accessor: **ds.lnharmo.to_grid()**\n", "\n", "This writing is equivalent to **sh_to_grid(ds)** (located in *lenapy.utils.harmo*) so to see the argument that might be used look at the documentation of this function.\n", "\n", "You can change the degree $l$ and order $m$ that are used for the conversion, change the longitude and the latitude of projection and use an ellispoidal Earth. Using **kwargs, you can also pass parameters to **l_factor_conv** to change the used constants in the unit conversion." ] }, { "cell_type": "code", "execution_count": 54, "id": "869ba935-328d-42e7-b8bd-15cd37ea5226", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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<xarray.DataArray (latitude: 180, longitude: 360, time: 216)> Size: 112MB\n",
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       "         11630979.81909289, 11630979.83219833, 11630979.78886309]]])\n",
       "Coordinates:\n",
       "  * longitude  (longitude) float64 3kB -179.5 -178.5 -177.5 ... 178.5 179.5\n",
       "  * latitude   (latitude) float64 1kB -89.5 -88.5 -87.5 -86.5 ... 87.5 88.5 89.5\n",
       "  * time       (time) datetime64[ns] 2kB 2002-04-16 ... 2022-12-16T12:00:00\n",
       "Attributes:\n",
       "    units:                   mewh\n",
       "    max_degree:              12\n",
       "    radius:                  6378136.3\n",
       "    earth_gravity_constant:  398600441500000.0
" ], "text/plain": [ " Size: 112MB\n", "array([[[11630332.05892523, 11630332.06934252, 11630332.0597365 , ...,\n", " 11630332.17015108, 11630332.16923063, 11630332.17156417],\n", " [11630331.75538494, 11630331.7658193 , 11630331.75623467, ...,\n", " 11630331.86629094, 11630331.86535558, 11630331.867679 ],\n", " [11630331.4635765 , 11630331.47402774, 11630331.46446525, ...,\n", " 11630331.57416799, 11630331.5732176 , 11630331.57553061],\n", " ...,\n", " [11630333.03909915, 11630333.04946414, 11630333.03979841, ...,\n", " 11630333.15131551, 11630333.15043901, 11630333.1528012 ],\n", " [11630332.70087009, 11630332.71125268, 11630332.7016061 , ...,\n", " 11630332.81275122, 11630332.8118602 , 11630332.81421313],\n", " [11630332.37411554, 11630332.38451557, 11630332.3748889 , ...,\n", " 11630332.48566647, 11630332.4847608 , 11630332.48710418]],\n", "\n", " [[11630336.80424296, 11630336.81584806, 11630336.80111835, ...,\n", " 11630336.87797578, 11630336.87802749, 11630336.88231505],\n", " [11630335.97134556, 11630335.98300739, 11630335.96834323, ...,\n", " 11630336.04408688, 11630336.04409055, 11630336.0483456 ],\n", " [11630335.17584039, 11630335.18755839, 11630335.17296209, ...,\n", " 11630335.247602 , 11630335.24755729, 11630335.25177895],\n", "...\n", " [11631013.40432211, 11631013.40165253, 11631013.4877568 , ...,\n", " 11631013.46079941, 11631013.4726309 , 11631013.4255675 ],\n", " [11631014.06285 , 11631014.06016933, 11631014.14607235, ...,\n", " 11631014.11848184, 11631014.1303246 , 11631014.08329308],\n", " [11631014.73911098, 11631014.73641958, 11631014.82211618, ...,\n", " 11631014.79386831, 11631014.80572307, 11631014.75872547]],\n", "\n", " [[11630980.07142463, 11630980.06895791, 11630980.1456611 , ...,\n", " 11630980.07045177, 11630980.08356325, 11630980.04024149],\n", " [11630980.33002579, 11630980.32755487, 11630980.40418232, ...,\n", " 11630980.3286939 , 11630980.34181159, 11630980.29850394],\n", " [11630980.5954498 , 11630980.59297472, 11630980.66952498, ...,\n", " 11630980.59375007, 11630980.60687415, 11630980.56358121],\n", " ...,\n", " [11630979.337243 , 11630979.33478925, 11630979.41171071, ...,\n", " 11630979.3372936 , 11630979.35038752, 11630979.30702721],\n", " [11630979.57496637, 11630979.57250824, 11630979.64935845, ...,\n", " 11630979.57468484, 11630979.58778443, 11630979.54443634],\n", " [11630979.81971559, 11630979.81725314, 11630979.89403059, ...,\n", " 11630979.81909289, 11630979.83219833, 11630979.78886309]]])\n", "Coordinates:\n", " * longitude (longitude) float64 3kB -179.5 -178.5 -177.5 ... 178.5 179.5\n", " * latitude (latitude) float64 1kB -89.5 -88.5 -87.5 -86.5 ... 87.5 88.5 89.5\n", " * time (time) datetime64[ns] 2kB 2002-04-16 ... 2022-12-16T12:00:00\n", "Attributes:\n", " units: mewh\n", " max_degree: 12\n", " radius: 6378136.3\n", " earth_gravity_constant: 398600441500000.0" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lenapy.utils.harmo import sh_to_grid\n", "\n", "# by default, unit='mewh' for meters of equivalent water height\n", "grid = ds.lnharmo.to_grid()\n", "\n", "# other unit can be used 'geoid', 'microGal', 'pascal', ...\n", "\n", "#equivalent to\n", "sh_to_grid(ds)" ] }, { "cell_type": "markdown", "id": "98a1fa0e-cf15-47ff-9151-4ab358506fc2", "metadata": {}, "source": [ "### Using grid variable\n", "\n", "The grid output is a xr.DataArray depending on longitude, latitude (and time if the dimension exist). It can be used as a normal DataArray.\n", "\n", "The constant Earth gravity field is dominated by $C_{2,0}$ coefficient so the dominant variations at one date correspond to Earth oblateness." ] }, { "cell_type": "code", "execution_count": 55, "id": "afc5b250-fa4f-4b11-8cbb-bf310e7e700e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid.isel(time=0).plot()" ] }, { "cell_type": "markdown", "id": "21190e97-f675-48c0-be14-68ff6ac75732", "metadata": {}, "source": [ "### Access residuals and geographic plot\n", "To go futher than an image of the Earth oblatness ($C_{2,0}$), we can access the residual of the constant gravity field.\n", "\n", "To study time-variable gravity field we need to remove a mean field that gives us access to the residuals values.\n", "\n", "It can be done by removing the mean of each Stokes coefficient, or the mean of each grid point, or by substracting an a priori field (e.g. GGM05C for CSR product).\n", "\n", "You can also see an example of how to plot geographical maps with matplotlib / xarray." ] }, { "cell_type": "code", "execution_count": 56, "id": "40538476-ce0b-4033-8f4d-3f4832ac4c56", "metadata": {}, "outputs": [], "source": [ "# create grid with residual values\n", "grid_residual = (ds - ds.mean(dim='time')).isel(time=0).lnharmo.to_grid()" ] }, { "cell_type": "markdown", "id": "b77c6a53-8108-478d-aedf-76b906b3b7de", "metadata": {}, "source": [ "You can then visualise the result" ] }, { "cell_type": "code", "execution_count": 57, "id": "330f9cd5-ff20-437c-ad19-2510698843a0", "metadata": { "tags": [ "skip-execution" ] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axis = plt.subplots(1, 1, subplot_kw=dict(projection=ccrs.PlateCarree()))\n", "grid_residual.plot(transform=ccrs.PlateCarree(), cbar_kwargs={'shrink': 0.7})\n", "axis.coastlines()" ] }, { "cell_type": "markdown", "id": "2c03ba3f-b56c-400c-a992-a9a5b1932073", "metadata": {}, "source": [ "### Going back to Spherical Harmonics\n", "From the spatial values in a DataArray, we can estimate the Stokes coefficients back with **da.lnharmo.to_sh()**\n", "\n", "This writing is equivalent to **grid_to_sh(da)** (located in *lenapy.utils.harmo*) so to see the argument that might be used look at the documentation of this function.\n", "\n", "You can change the degree $l$ and order $m$ that will be estimated and use an ellispoidal Earth. Using **kwargs, you can also pass parameters to **l_factor_conv** to change the used constants in the unit conversion." ] }, { "cell_type": "code", "execution_count": 58, "id": "10591840-eb52-46f4-b890-15de7eda5da4", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.Dataset> Size: 61kB\n",
       "Dimensions:  (l: 61, m: 61)\n",
       "Coordinates:\n",
       "  * l        (l) int64 488B 0 1 2 3 4 5 6 7 8 9 ... 52 53 54 55 56 57 58 59 60\n",
       "  * m        (m) int64 488B 0 1 2 3 4 5 6 7 8 9 ... 52 53 54 55 56 57 58 59 60\n",
       "    time     datetime64[ns] 8B 2002-04-16\n",
       "Data variables:\n",
       "    clm      (l, m) float64 30kB -4.21e-14 0.0 0.0 ... 8.301e-28 -3.514e-28\n",
       "    slm      (l, m) float64 30kB 0.0 0.0 0.0 ... -2.675e-27 4.305e-27 1.3e-27\n",
       "Attributes:\n",
       "    gm_earth:    398600441500000.0\n",
       "    a_earth:     6378137.0\n",
       "    max_degree:  60\n",
       "    norm:        4pi
" ], "text/plain": [ " Size: 61kB\n", "Dimensions: (l: 61, m: 61)\n", "Coordinates:\n", " * l (l) int64 488B 0 1 2 3 4 5 6 7 8 9 ... 52 53 54 55 56 57 58 59 60\n", " * m (m) int64 488B 0 1 2 3 4 5 6 7 8 9 ... 52 53 54 55 56 57 58 59 60\n", " time datetime64[ns] 8B 2002-04-16\n", "Data variables:\n", " clm (l, m) float64 30kB -4.21e-14 0.0 0.0 ... 8.301e-28 -3.514e-28\n", " slm (l, m) float64 30kB 0.0 0.0 0.0 ... -2.675e-27 4.305e-27 1.3e-27\n", "Attributes:\n", " gm_earth: 398600441500000.0\n", " a_earth: 6378137.0\n", " max_degree: 60\n", " norm: 4pi" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grid_residual.lnharmo.to_sh(lmax=60)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "cf680510-f9aa-4ad9-9e53-a5de23f8293d", "metadata": {}, "source": [ "## Manipulating Spherical harmonics datasets\n", "\n", "### Operation of spherical harmonics dataset\n", "You may have seen that I can apply operation like power (**2) over ds.lnharmo object. In fact several methods have been overwriten to be applied only over **ds.clm** and **ds.slm** variables in the dataset.\n", "\n", "By this way you can **add, subtract, multiply** dataset with spherical harmonics variables by applying the operation onto ds.lnharmo object.\n", "\n", "Note that you can not apply the divide operation (however, you can multiply by $\\frac{1}{x}$)." ] }, { "cell_type": "code", "execution_count": 59, "id": "3017d7e3-4b33-49c9-9c82-59bb22051e0e", "metadata": {}, "outputs": [], "source": [ "ds_sum = ds.isel(time=slice(0)).lnharmo + ds.isel(time=slice(1))\n", "\n", "ds_mean = (ds.isel(time=slice(0)).lnharmo + ds.isel(time=slice(1))).lnharmo * 0.5 " ] }, { "cell_type": "markdown", "id": "14967c7e-ea36-477d-a070-13dddf1b2f0a", "metadata": {}, "source": [ "### Plot based on spherical harmonics\n", "#### Time-serie plot\n", "You can just the time-series corresponding to one coefficient with ds.sel(l=l, m=m).plot()\n", "\n", "If you give argument to the **.plot()** function they are interpreted as plot argument like 'label' or 'color'.\n", "\n", "After the plot, you can modify the matplotlib figure as usual." ] }, { "cell_type": "code", "execution_count": 60, "id": "2ae20baf-44ba-4c4c-9e24-93eeffb932b5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '$C_{2,0}$')" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# time series of one coefficient\n", "ds.isel(l=2, m=0).clm.plot()\n", "plt.title(\"$C_{2,0}$\")" ] }, { "cell_type": "markdown", "id": "05cf7521-e90b-4863-895e-71daffb2e263", "metadata": {}, "source": [ "#### Triangular plot\n", "With a spherical harmonics dataset, we might try to look at it in terms of SH coefficients amplitude with the function **ds.lnharmo.plot_hs()** that call the function located in *lenapy.plots.plotting*.\n", "\n", "You first need to create a dataset without extra dimension (reduce the time with a .sel(time=...) or a .mean('time') or other). Then you can plot the dataset." ] }, { "cell_type": "code", "execution_count": 61, "id": "eb19637e-24cb-4f62-aedb-801b9876ca44", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.ticker as ticker\n", "\n", "# reduce the dataset to one date\n", "ds_square = ds.isel(time=0).lnharmo ** 2\n", "\n", "# triangular plot\n", "ax = ds_square.lnharmo.plot_hs(norm='log', lmax=12)" ] }, { "cell_type": "markdown", "id": "03b81c5d-cd1f-4a31-8315-33485bc3dfe2", "metadata": {}, "source": [ "#### HS power plot\n", "You can plot the degree power for a certain date with the function **plot_power_hs()** located in *lenapy.plots.plotting*.\n", "\n", "You first need to create a dataset without extra dimension (reduce the time with a .sel(time=...) or other). Then you can plot the dataset." ] }, { "cell_type": "code", "execution_count": 62, "id": "f11d32a7-d9a7-4110-9317-3621a70570d0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Degree power spectrum')" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from lenapy.plots.plotting import plot_power\n", "\n", "# plot the degree power\n", "plot_power(ds.isel(time=0), lmin=3, label='COST-G first date')\n", "plot_power(ds.isel(time=1).lnharmo*2, lmin=3, label=r'COST-G second date $\\times$ 2')\n", "plt.legend()\n", "plt.title(\"Degree power spectrum\")" ] }, { "cell_type": "markdown", "id": "5cde5598-8f2c-4e4d-af3f-4884a2d0447e", "metadata": {}, "source": [ "## Writing .gfc file\n", "You can write a .gfc file with **ds.lnharmo.to_gfc()**. The function **dataset_to_gfc** located in *lenapy.writers.gravi_writer* allows to write .gfc ascii file from a spherical harmonics dataset.\n", "\n", "The writer will inspect **ds.attrs** to create the header of the gfc file. If values are not contained in **ds.attrs** or in the function parameters, default values are used.\n", "\n", "First, you need to create a dataset without extra dimensions by reducing the 'time' dimension using methods like **.sel(time=...)** or **.mean('time')**." ] }, { "cell_type": "code", "execution_count": 15, "id": "3ada73e7-ff39-427f-8a6c-fe74ef9437e7", "metadata": {}, "outputs": [], "source": [ "example_path = 'tmp/test.gfc'\n", "\n", "# Write the spherical harmonics data of the first time slice to a .gfc file\n", "ds.isel(time=0).lnharmo.to_gfc(example_path)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.11" }, "scenes_data": { "active_scene": "Default Scene", "init_scene": "", "scenes": [ "Default Scene" ] } }, "nbformat": 4, "nbformat_minor": 5 }