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Created April 11, 2016 09:42
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Instrument response lab
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lab: Instrument response\n",
"\n",
"* based on *GEOS 626: Applied Seismology from Carl Tape*\n",
"* from Lion Krischer"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# This cell does two things: \n",
"# (1) make plots appear in the notebook and (2) creates prettier plots.\n",
"# Make sure to execute it at least once!\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('ggplot')\n",
"plt.rcParams['figure.figsize'] = 10, 5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### L1 Instructions\n",
"\n",
"This is a Python and ObsPy version of the above mentioned lab. We will perform the same calculations and create similar plots but we will be using different services, data formats, and tools.\n",
"\n",
"It aims to teach students how to calculate, visualize and use instruments responses."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### L2 Computing and plotting instrument response, $I(ω)$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Acquiring Data\n",
"\n",
"The first step when working with instrument data is to acquire it. Nowadays this is mostly done using the *station* web service defined by the [FDSN](http://www.fdsn.org/) (International Federation of Digital Seismograph Networks). Once you know how to use this you can use it to download data from data centers across the globe including IRIS, ORFEUS, ETH, RESIF, GEONET, and many more. Notable exceptions are most Asian countries and countries that don't freely share their data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With ObsPy this works by first importing the FDSN `Client` class and then initializing it with the data center you want to download from. For this lab we will use data from the Geoscope project, which can be downloaded from IRIS (its \"home\" data center is the IPGP in Paris which you can also use - just replace `\"IRIS\"` with `\"IPGP\"` in the following code box - but most of you will be more familiar with IRIS).\n",
"\n",
"See the [documentation of obspy.clients.fdsn](http://docs.obspy.org/packages/obspy.clients.fdsn.html) for more details."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from obspy.clients.fdsn import Client\n",
"# ObsPy knows which website to connect to for many data center.\n",
"# For others you can also pass the full URL.\n",
"c = Client(\"IRIS\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Station information is time dependent due to for example changed sensors, new calibrations, or other changes. It is thus important to specify the time frame for which to request response information.\n",
"\n",
"ObsPy handles absolute times with the `UTCDateTime` class. See the [documentation](http://docs.obspy.org/packages/autogen/obspy.core.utcdatetime.UTCDateTime.html) and the [tutorial](http://docs.obspy.org/tutorial/code_snippets/utc_date_time.html) for more information."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import obspy\n",
"# Create two times which we will later use to download time series data.\n",
"starttime = obspy.UTCDateTime(2004, 12, 26, 0, 58, 50)\n",
"# Create a new time object by adding 5 days to the previous ones. Time\n",
"# differences are in seconds.\n",
"endtime = starttime + 86400 * 5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will use the `CAN` station which is located in Canberra, Australia, and featured in [*Park et al.* (2005, Figure 1)](http://dx.doi.org/10.1126/science.1112305). Please note that in many cases the station code is not unique and in practice the network code is also required. See the ObsPy tutorials for more details about these concepts. The `get_station()` method of the FDSN `Client` object returns station/instrument information. Once again see its [documentation](http://docs.obspy.org/packages/autogen/obspy.clients.fdsn.client.Client.get_stations.html) for more information."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Inventory created at 2016-04-11T09:40:40.000000Z\n",
"\tCreated by: IRIS WEB SERVICE: fdsnws-station | version: 1.1.20\n",
"\t\t http://service.iris.edu/fdsnws/station/1/query?starttime=2004-12-26...\n",
"\tSending institution: IRIS-DMC (IRIS-DMC)\n",
"\tContains:\n",
"\t\tNetworks (1):\n",
"\t\t\tG\n",
"\t\tStations (1):\n",
"\t\t\tG.CAN (Canberra, Australia)\n",
"\t\tChannels (1):\n",
"\t\t\tG.CAN..LHZ\n"
]
}
],
"source": [
"# This will get all stations that satisfy all constraints simultaneosly.\n",
"inv = c.get_stations(network=\"G\", station=\"CAN\", channel=\"LHZ\", \n",
" level=\"response\", \n",
" starttime=starttime, endtime=endtime)\n",
"print(inv)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `station` services return `StationXML` files which are the most modern and future proof data format for station and instrument information. **If possible at all: Always try to use StationXML files!**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Plotting the Instrument Response\n",
"\n",
"We can now plot the instrument response with the `plot_response()` method. The `min_freq` argument determines the lowest plotted frequency - the maximum plotted frequency is always the Nyquist frequency."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
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WHDt2DF27dsUTTzyB6upqCCFw++2345FHHsGtt97qmEblmWeegclkgslkwoIFCzBhwgQo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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x104cd5b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"inv.plot_response(min_freq=0.001);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These are [Bode plots](https://en.wikipedia.org/wiki/Bode_plot) and show the amplitude $A(\\omega)$ and the phase $\\phi(\\omega)$ response where\n",
"\n",
"$$\n",
"I(\\omega) = A(\\omega) e^{i \\phi(\\omega)}\n",
"$$\n",
"\n",
"Note that the formulas use $\\omega$ but the plots show the frequency $f$ with $\\omega = 2 \\pi f$. The first variant usually simplifies notation whereas the latter one facilitates physical interpretation.\n",
"\n",
"This plot does not just show the instrument response - it shows the response of the whole recording chain from observed ground motion to actually stored data. This includes the analoge response of the actual seismometer, the analog-to-digitial converter (DAC), and possible digital filter stages."
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"The sampling rate of this channel is 1 sample per second ($\\Delta T$ = 1s), so the **Nyquist frequency**, which is defined as\n",
"\n",
"$$\n",
"f_{Nyq} = 1 / (2 \\Delta t),\n",
"$$\n",
"\n",
"is $f_{Nyq}$ = 0.5 Hz. The above plot does not show frequencies higher than the Nyquist frequency (the vertical dashed line) as these frequencies do not exist in the data and thus have no physical meaning."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Have a look at the details of the response information of this channel:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Channel Response\n",
"\tFrom M/S (VELOCITY in Meters Per Second) to COUNTS (DIGITAL UNIT in Counts)\n",
"\tOverall Sensitivity: 1.84484e+09 defined at 0.010 Hz\n",
"\t5 stages:\n",
"\t\tStage 1: PolesZerosResponseStage from M/S to V, gain: 2252\n",
"\t\tStage 2: PolesZerosResponseStage from V to V, gain: 1\n",
"\t\tStage 3: CoefficientsTypeResponseStage from V to COUNTS, gain: 819200\n",
"\t\tStage 4: CoefficientsTypeResponseStage from COUNTS to COUNTS, gain: 1\n",
"\t\tStage 5: CoefficientsTypeResponseStage from COUNTS to COUNTS, gain: 1"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"inv[0][0][0].response"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we see that is consists of multiple stages that convert from one unit to another. The final instrument response is the multipication (in the frequency domain) of all of these.\n",
"\n",
"**QUESTION:** What are the input and output units of the whole instrument? What does that mean physically?\n",
"\n",
"**QUESTION:** How does one conceptually remove the instrument response from recorded data?\n",
"\n",
"##### Incomplete Responses\n",
"\n",
"You can also only plot the response of a range of stages. The plotted sensitivity in Obspy 1.0.1 is the overall sensitivity of all stages and not only the chosen ones - thus the plot looks a bit strange. This will be rectified [soon](https://github.com/obspy/obspy/issues/1368)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/lion/.miniconda3/envs/pyasdf_py35/lib/python3.5/site-packages/matplotlib/axes/_axes.py:519: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
" warnings.warn(\"No labelled objects found. \"\n"
]
},
{
"data": {
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v14YNG1RaWqrU1FRlZ2dr8uTJWrNmTd20JVOmTGkwbUlTuHUeOmuttG6lgi88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\nIiIhToFOREREJMQp0ImIiIiEuP8ABxVrnUf4eV8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113505358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"inv[0][0][0].plot(0.001, start_stage=1, end_stage=1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the major differences (except a constant factor) are close to the Nyquist frequency - these are due to the here not plotted decimation and FIR filter stages. In many cases it is sufficient to only use Poles & Zeros information but there are stations where this is not true. As it is tedious to manually check everytime: **There is no reason to not use the full chain instrument response if it is available!**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Output Units"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Modern seismometers usually record the velocity of ground motion, strong motions sensor record acceleration.\n",
"\n",
"**QUESTION:** Why is that?\n",
"\n",
"The instrument response describes how incoming data (in whatever the instrument measures) it transformed into what is finally stored in a file. Restoring original ground motion requires the inversion of that process. The deconvolution of the instrument response as written for example in a StationXML file will convert data back to its original units.\n",
"\n",
"If your analysis requires other units it is best to perform the integration or differentiation during the instrument deconvolution. That deconvolution is usually performed in the frequency domain - once there integration/differentiation is almost free and the most accurate it gets."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following plots show the instrument response $I_d(\\omega)$ from displacement, velocity $I_v(\\omega)$, and acceleration $I_a(\\omega)$."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Displacement\n"
]
},
{
"data": {
"image/png": 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XU1hYeNx9E32Qhd3caje1mp3bYFd1V3PriHysWfOhcDpW4XQYWRBcbktERKKP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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11420e908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Velocity\n"
]
},
{
"data": {
"image/png": 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XTwjRpG+eq2VlZeHYsWMwGAytTn7MPnhEROSNxIBh9gRvVxaE+fKznlu/Dq3f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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114218198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Acceleration\n"
]
},
{
"data": {
"image/png": 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ILy+ty3J6HGRhH7smOn7uuedaXLHizjvv7FABK1asQF5eHiwWC0JDQ5GamgqT\nyYTdu3fbpklJSUmxe0LjhhpOk8KJjskZsZWEnBWvza6jfL0V8pWnISZdDV2qc3Z9chaxsbGcJsVO\ndgW8t99+u9Hz4uJi7Ny5E5dccglmz57dWbU5FAMeOSN+iZKz4rXZtZT/vgC59SOIeX+F7uLxDj02\nV7LwTHbdop0xY0aTbSkpKU2Cn7PhRMdEROQKROpcyCMHId9cBdlnACdCbgVb8Oxz3ovi9ezZE/v2\n7XNkLQ43aNAghjsiInJ6wtsHulvvAxQJ5dVnIBVF65KcVmpqKsOdHexqwTt3XdrKykpkZmZ22iha\nIiIiTyMioiFm3gr5+krIzz+AmHS11iWRC7Mr4J27Lq2/vz969OhxXiNbO2r//v346quvYLVacfz4\ncTzyyCNdXgMREVFnEOMmQX7/LeTGNyGHj4EI54pNdH7sCngN16XVWmJiIhITE5GVlYWEhIRW92Uf\nPCIiciVCCOj+cDuUJfOhrH0ZXn9epHVJTod98OxjVx+8v//9781uf+CBBzpcQFpaGubNm4e//vWv\njbbn5OTgnnvuwYIFC7Bx48Ym79uxYwfGjRvX6rHZB4+IiFyNCI+AuGomkLMTcu+uDh/P3daiZR88\n+9gV8PLz85tsk1Li5MmTHS7AZDJh8eLFjbYpioL09HQsXrwYy5cvR2ZmJo4fP257vbCwEEFBQfD3\n9+/w+YmIiJyNuHwaEB0HZc2LkDU1WpdDLqjVW7QrV64EANTU1Nge1ykoKMAFF1zQ4QISExNRUFDQ\naJvZbEZMTAwiItRh4snJycjKykJcXBwA4IsvvsCECRM6fG4iIiJnJLx9oJs+F8rKRyB3bIGYMFnr\nksjFtBrwoqKimn0shED//v0xZsyYTimqqKgI4eHhtudGoxFms9n2nLddiYjI7Q0ZCSQMgPxwHeSY\nFAg/P60rIhfSasCrm+C4b9++uOiii7qkIEeoG1xRJzU11bZAMZEz8fX15bVJTonXpnOomTUfpf93\nN3wzt8D/6j9oXY5TyMjIsD3mYIuWtRjw8vLyMHDgQHUnb+8mc+HVGTx4sMOLMhqNKCwstD0vKiqC\n0Wi0+/11H3jDoMcld8gZcTkocla8Np1EXE/gwpE4+95/UTX2Mgj/AK0r0lTdLx0Mdm1rMeClp6dj\n+fLlAJrOg1dHCNGkb975kFKi4ZK4CQkJyM/PR0FBAQwGAzIzM89rzj1eAERE5Op0V6VCefzvkDs+\nhZjY/sl2uuYQAAAgAElEQVSP3WktWoDdtOwlZMNkpYEVK1YgLy8PFosFoaGhSE1Nhclkwu7du7F6\n9WpIKZGSkoJp06a1+9gN58E7ceJEJ1RP1DFsJSFnxWvTuVifXAgUnoTu0RcgvH3a+V73CXixsbGc\nB89Omge8rsKAR86IX6LkrHhtOhe5dxeUZ/8JMWcBdGMva9d73S3gkX1avEU7f/58uw7Q0u1bZ8CV\nLIiIyC0MHgHE9YD87H11RK0QWlekGbbg2afFgHfXXXd1ZR2dghcAERG5AyEExIQpkG+lAT//CPRJ\n1LokzbDRxj4tBry6EbRERESkPTH6Usj1qyG3b4bw4IBH9ml1Hrw6NTU1eOedd5CZmYnTp0/DYDBg\n7NixuPbaa+Hr69vZNTYipcS6detQXl6OhIQEjB8/vkvPT0REpAXhHwgxxgS5Ywtk6q0QwSF2vc8d\n+t5R+9m1Fu1LL72EH374AXPmzMG//vUvzJkzB3l5eXj55Zc7u74msrKycOrUKXh7e7c5N15ubm6j\nCRGJiIhcmZgwGaiphty5VetSNJORkdFoMQNqnl0teFlZWXjuuecQFBQEAIiPj0ffvn0d0k8vLS0N\n2dnZCA0NxbJly2zbc3JybNOkmEwm2zQpJ06cQP/+/TFx4kQ89dRTrU60zD54RETkTkRcD6BHAuTO\n7cB5zInnDtgHzz52teCFhYWhsrKy0baqqioYDIYOF2AymbB48eJG2xRFQXp6OhYvXozly5cjMzMT\nx48fBwCEh4cjODhYLV5nV/lERERuQ4y+FDhshvz1qNalkBOzqwVv/PjxeOyxx3DllVciPDwcp06d\nwieffILx48c3WsLsfJYtS0xMREFBQaNtZrMZMTExiIiIAAAkJycjKysLcXFxGDVqFF555RXs27eP\nA0GIiMjjiKTxkBmvQu7cDnHNLK3LISdlV8DbsmULAODdd99tsr3uNUctWwaoa8+Gh4fbnhuNRpjN\nZgDqAth/+tOfWn1/wzVoAbU5l4tmkzPigu7krHhtOjG9HqVDRkDJ+hLBs26H8LC7WQ371rMrVsvs\nCnjPP/98Z9fhUM194JyRnZwRVwsgZ8Vr07kpw5Mhv38Glr3ZEL37t7qvO61kodfr2QfPTk4Z+41G\nIwoLC23Pi4qK2hwx2xyOoiUiInckhl4M6HSQOd9oXUqX4yha+9jVgnfo0CG89tprOHToEM6ePdvo\ntTVr1nS4CCklGi6Jm5CQgPz8fBQUFMBgMCAzMxMLFizo8HmIiIjcgQgKBvpfqAa8a2/WuhxyQnYF\nvBUrVmDUqFGYM2eOwyc2XrFiBfLy8mCxWDB//nykpqbCZDJh7ty5WLp0KaSUSElJQXx8fLuPzXvz\nRETkrsTQUZBrX4TMPwYR3f7vSFfFW7T2sSvgFRcXY+bMmZ2yuHFLLXPDhg3DsGHDHH4+IiIidyAu\nqg14Od9AXOk5AY/sY1cfvEsvvRQ7duzo7Focjn3wiIjIXYnwCKB7H8jvv9W6lC7FPnj2EbJh57cW\nFBcX48EHH4Svry9CQ0MbvfaPf/yj04pzpBMnTmhdAlETHKlIzorXpmtQ3n0D8uN3oHv6LYjAIK3L\n6XSxsbFal+Ay7LpF+9RTTyEyMhIXX3yxw/vgtVdeXh7WrVuH+Ph4JCcnc7JjIiLyWGLgRZCb3gYO\n7AUuGq11OeRE7B5F+8orr8Db267dO52/vz+qq6sbTYZMRETkcXonAr5+kHnfQzDgUQN2JbYBAwbg\n2LFj6Nmzp8MLSEtLQ3Z2NkJDQ7Fs2TLb9pycHKxevRpSSphMJkybNg0AMHDgQAwcOBBnzpzBa6+9\nhrvvvrvFY9etaMERN0RE5I6Ejw/QbzDkvhytS+kyGRkZnCXDDnYFvIiICCxduhQXX3xxkz54M2fO\n7FABJpMJkydPbrTMmaIoSE9Px5IlS2AwGLBw4UIkJSUhLi7Otk9QUBBqampaPTYvACIicndiwFDI\nt7+DPFWgDrxwc2y0sY9dAa+qqgrDhw9HTU0NTp06ZduuKEqHC0hMTERBQUGjbWazGTExMYiIUC/U\n5ORkZGVlIS4uDt9++y1ycnJQXl6OK6+8ssPnJyIicmUicQgkAPlTLkT4BK3LISdhV8C74447Gj0/\nfPgwtm/fjszMzE4pqqioqFH/OqPRCLPZDAC4+OKLcfHFF3fKeYmIiFxOfA/APwA4uA8YPaHJy+60\nFi3Zz+5REyUlJdixYwe2b9+OQ4cOYcCAAZg9e3Ynlnb+6vre1UlNTYVer9ewIqLm+fr68tokp8Rr\n07WU9h0E5ecfm/3MLF5eAOA2n2fD+W3ZFatlrQa8mpoa7Nq1C9u2bcP333+P6OhoJCcn47fffsO9\n997bpD+eoxiNRhQWFtqeFxUVwWg02v3+ug+8YdDjfE7kjDjXGDkrXpuuRenZF/LDtSj57SREQGCj\n16xWKwD3+B6sC6kMdm1rNeDNmzcPOp0Ol156KVJTU9G7d28AwKeffurQIqSUaDjfckJCAvLz81FQ\nUACDwYDMzMwWlzRrDS8AIiLyBCIhUf0e/flHYJB7L/PJQRb2aXWpsh49eqCsrAxmsxkHDx5EaWmp\nwwtYsWIFHnroIfz666+YP38+tm7dCp1Oh7lz52Lp0qW47777kJycjPj49q+zx6XKiIjII/TuDwgd\n5MF9WlfS6bhUmX3aXKqsoKAA27dvx5dffonCwkIMGTIE+/btw9NPP92u26Za41Jl5Ix4G4ycFa9N\n12N96A4gKhZedz7YeLsbDbLgUmX2s2st2jr79+/H9u3b8fXXX8PLywsmkwmzZs3qzPo6pOFExwx4\n5Iz4JUrOitem61FeWgb5Ux68/v2K1qV0mtjYWE50bKd2Bbw6VVVV+Pbbb/Hll19i0aJFnVGXwzHg\nkTPilyg5K16brkf55F3I9a9C99SbEPoQrcvpFGzBs995LS7r6+uLcePGYdy4cY6uh4iIiM6D6N4b\nEgCOHgQGuvdAC2pbq4MsnFVlZSUWLlyI7OxsrUshIiJyDt3VmS7kkZ81LoScgUsGvPfeew9jxozR\nugwiIiKnIYL0gLEbcPSQ1qWQEzivW7SOlJaWhuzsbISGhmLZsmW27Tk5OVi9ejWklDCZTJg2bRoA\nYM+ePYiPj0dVVVWbx244yIKIiMjtRcdDnjyudRWdioMs7KN5wDOZTJg8eTJWrlxp26YoCtLT07Fk\nyRIYDAYsXLgQSUlJiIuLQ15eHiorK3Hs2DH4+vpi+PDhLR6bFwAREXkSER0Pmfk5pJQQQgBwr2lS\nAE50bC/NA15iYiIKCgoabTObzYiJiUFERAQAIDk5GVlZWYiLi8P1118PANi+fbvbrKtHRETkENFx\nQGUFUFwEGMK1roY0pHnAa05RURHCw+svTKPRCLPZ3GifSy+9tKvLIiIicmoiOl4dSZt/jAHPwzll\nwOuour53dVJTU9naR07J19eX1yY5JV6brknp3Q8lAPzOFMGv9vOzeHkBgNt8ng2XIGVXrJY5ZcAz\nGo0oLCy0PS8qKmrXsmh1H3jDoMcJO8kZcTJZcla8Nl2T9PEFdDqc/fUYqmo/P6vVCsA9vgfrQiqD\nXducIuBJKdFwQY2EhATk5+ejoKAABoMBmZmZWLBgQbuPywuAiIg8idB5AYZuQFFB2zu7KA6ysI/m\nAW/FihXIy8uDxWLB/PnzkZqaCpPJhLlz52Lp0qWQUiIlJQXx8fHtPjanSSEiIo9j7AZZVH8XzF1G\nz9bhNCn2Oa+1aF0R16IlZ8TbYOSseG26LuXl5ZAH98PrXy9pXYrDcS1a+7nkShb2ys3NbdQZk4iI\nyO0ZuwGnCyEVRetKOkVGRkajgZTUPM1v0XYmNuESEZHH0YcBVitwthwIDNa6Godjtyv7uHXAIyLH\nCg4Ots2OT+0jpURpaanWZZAnCKoNdaUWtwx4ZB+XC3jHjx/Hpk2bYLFYMHjwYFx++eVal0TkMYQQ\n7Jd1ntxlDjJyfiIoRJ3suMwC5ev9kDk7IYJDobvpDq1Loy7kcn3w4uLiMG/ePNx77704cOBAq/uy\nDx4REXmcYPWXCfn1F5CvPA3s2QW5a4fGRTkO++DZR/MWvLS0NGRnZyM0NBTLli2zbc/JycHq1ash\npYTJZMK0adNsr+3atQtbtmzB+PHjWz02++AREZHHqb1FK7duUufE6xYFuFHXCvbBs4/mLXgmkwmL\nFy9utE1RFKSnp2Px4sVYvnw5MjMzcfz4cdvrI0eOxMKFC/HVV191dblE1IWysrIwY8YMzJgxA9On\nT8fmzZsbvW42m3HjjTdi+vTpmD59OrZv32577eqrr8Yzzzxje56RkYELL7wQZ8+eBQA88sgj2Llz\nZ4vnnj59OioqKmzPjx07httuu832/LPPPsNTTz2F48ePY/r06bYax4wZ0+T/aURdKijE9lAMHu5W\n4Y7sp3kLXmJiIgoKGs+4bTabERMTg4iICABAcnIysrKyEBcXh7y8PHzzzTeorq7G8OHDtSiZiLrA\n6dOnsWjRIqxZswbdunWD1WrF999/b3u9pqYGd9xxB/7zn/+gd+/eqK6uxp49ewCo817GxMTg66+/\nxj333GN7T1RUFNauXYvZs2e3ef7mBpOcu00Igbi4OKxfvx4AUFZWhuuuuw533XXX+fyViRwjIKD+\ncXxP4CTngfVEmge85hQVFSE8PNz23Gg0wmw2AwAGDhyIgQMHtvr+hmvQAmpzLjs4kzNytQXdvWoX\nLe8KX3zxBaZMmYJu3brZzt3wl7rs7GwMGjQIvXv3BgD4+PhgxIgRAICPPvoI1157LbZv346DBw+i\nT58+ANRWufXr1+Omm25q8/zNzQHf1rzw//jHP3DbbbchOjq6yWteXl4u9Vm72rVJjRXX/hkY1x1n\nc74B4D4DfRr2rWdXrJY5ZcDrqOY+cI78I2fkaqsFnPsFoax9CfLoL+06hrigF3TXz2tzv5MnTyIy\nMhIAkJmZiaeffhohISF45ZVXAAD5+fmIiopq9r1ffvkl0tPTERYWhg8++MDWiufv74/LL78c77//\n/nlN97Jz507MmDEDUkoUFxfjqquusr326aefwmKx4Nprr232vVar1eU+a1eql5pX4RsAxWoF4B7f\ng3q9nn3w7OSUAc9oNKKwsH4dvaKiIhiNxnYfh2vRErmuqKgo/PKLGh6Tk5ORnJyMKVOm2F6Pjo7G\n559/3uR9v/76K/bv349bb70ViqLAYrE0uk07e/Zs3HzzzRg5cmSr528uAI4ZMwYvvPACALUP3t69\newGo/49atmwZR+2T8/H141q0HsopAp6UstGtj4SEBOTn56OgoAAGgwGZmZlYsGCBhhUSUXPsaYk7\nXykpKZgxYwZuuukmREVFoaamplHoGj58OB566CHbLdi6Pni7d+/Gww8/bAuDixcvxsGDB23vCwkJ\nwbBhw7Bt2zZMnDixxfOf+/+lum3Nuf/++3H//fcjLCysI39lIsfz9dW6AtKI5gFvxYoVyMvLg8Vi\nwfz585GamgqTyYS5c+di6dKlkFIiJSUF8fHx7T42Ez6R6zIYDHj88cfx5z//GTqdDjqdDn/84x+x\natUqTJ06FfHx8Xj++eexZMkSVFZWQkqJBQsWYPPmzUhPT7cdZ+zYsfjwww8bLVI+b948vPbaa7bn\nDzzwAB5//HFs27YNlZWVuOKKKwCorX06nQ5CCDzxxBPNturl5ORg69atKC4uRlpaGoQQGDZsGBYt\nWtSJ/zpEdvL107oCh+NdOfsI2VavYTdx4gRHEZHzcbV+Tq5WrzNxtX87V6uXGrPOmwoA0K1YAxEY\npHE1jtPwFzVqnebz4HUmrmRBREQezQ1b8LiShX00v0XbmXiLloiIPJnwdr+ved6itY/LffJZWVnI\nzs5GRUUFUlJSMGTIEK1LIiIiclrWJ9X+oO42mpZa53IBLykpCUlJSSgrK8Mbb7zBgEdERHQuoQOk\nonUVpCHNA15aWhqys7MRGhqKZcuW2bbn5ORg9erVkFLCZDJh2rRpAIAffvgB3333HfLy8tpcqozz\n4BE5lpTSbWbD72oeMp6NnITugSeAmmqty+gUnAfPPpoHPJPJhMmTJ2PlypW2bYqiID09HUuWLIHB\nYMDChQuRlJSEuLg4DB48GB9//DGGDRuGmTNntnpsXgBEjlVaWqp1CURkB9G7v9YldBo22thH81G0\niYmJCApqPITbbDYjJiYGERER8Pb2RnJyMrKysgAAb7/9No4cOYI9e/bgs88+06JkIiIiIqemeQte\nc4qKihAeHm57bjQaYTabAQAzZszAjBkz2nW83NxcGAwGh9ZI5Aj79+9HXFyc1mUQNcFrk5xRbm4u\n78zZySkDXkfV9b1riE265Ix27NiBpKQkrcsgaoLXpht5erXWFTjMjh07Gn2/sytWyzS/Rdsco9GI\nwsJC2/OioiIYjUYAwMyZM5v8nGvQoEFITU21/bjLhIgN+ym68nkdcbzzOUZ73mPvvm3t19brvDad\n65wdPeb5vt/R16Yj9uG16Vzn1OLa1OL/mW3tUzdwsu6H4a5lTtGCd+6i3gkJCcjPz0dBQQEMBgMy\nMzOxYMECAMC6deu0KlNzza2D6YrndcTxzucY7XmPvfu2tZ9Wn1lX0+Lv2Rnn7Ogxz/f9jr42HbWP\nO+C1ef7v1+L/me09L7VM87VoV6xYgby8PFgsFoSGhiI1NRUmkwm7d++2TZOSkpJimybl4MGDqKys\nxE8//YSrr7662WOee4uWt2eJiIjcQ8MlSHmLtmWaB7z22rJlCyZMmIB169Zh+vTp8Pf3t+t9J06c\n6OTKiNqPC7qTs+K1Sc4oNjZW6xJchlPcom2PSZMmQVEUKIpid7gjIiIi8iROOciiLTt37sQ111wD\nq9WqdSlERERETsflAt6OHTuwZ88e/Pe//2VHTCIiIqJmuFwfvPPFPnjkjNjPiZwVr01yRuyDZz+X\na8EjIiIi+1mfXATrk4u0LoO6GAMeERERkZthwCMiIiJyMwx4RERERG6GAY+IiMgNSU4l5tFcbqJj\nIiIiap2y+R3Id98AomKAUgvgH6B1SdTF2IJHRETkbgpPAt7eQMwFQGAQA54HYgseERGR25FAQCC8\n7lCnR+HtWs/jMS14yivPQO7dBVlTrXUpREREXUp4eWldAnUxj2nBkznfQH79BRAYDDFsNMTIcUDi\nEAhvj/knICIiT8LlPD2ax6Qb3fLXgbwcyF07IL/LhMz8DAjWQwwbo4a9/hfyNxwiInIPnrEKKbXC\nYwKe8PEBhiZBDE2CrK4CcndDZu2A/PYryK8+BfShEMNrw16/QRA6hj0iIiJyTR4T8BoSPr7ARaMg\nLhoFWVUJ/JCttux9vRVy+8dASBjEiLFq2EsYwLBHREQuSL1FW7cOrdffHtOyGOpiHhnwGhK+fsDw\nMRDDx0BWVgI/7FJb9jI/g9y6CQg11oe9PokQOo8Zl0JEREQuyuMDXkPCzw8YkQwxIhnybIU66nbX\nDsivPoX84kMgLBxiZLIa9nr3h2AHViIickZS1jXgkYdiwGuB8A+ASLoESLoE8mw55PdZatjbtgny\ns/cBY0R92OvZl2GPiIiInAYDnh2EfyDEqEuBUZdClpdBfv+tGvY+/xDy041AeCTEyHEQSeOA7n0Y\n9oiIyAnwu8iTMeC1kwgMghhjAsaYIMtLIXd/o4a9z96D/GQDEBGthr2R44ALejHsERFR1+M0KR6P\nAa8DRGAwRPJlQPJlkGUWyN071QEan2yA3LweiIytb9mL68GwR0REXaf2O4ejZz0TA56DiCA9xLhJ\nwLhJkJYSyN1fqy17m9dDbsoAouNtYU/Edte6XCIicmtswfN0DHidQOhDIMZfAYy/ArKkGDK7Nux9\ntA7yw7VAbPf6sBcdr3W5RERE5GYY8DqZCAmDmDAZmDAZ8sxpyOz/qWHvgzWQ7/8XiO9p67MnomK1\nLpeIiNyBBMdYeDgGvC4kQg0QpqsA01WQp0/Vh72Nb0JufBPo3rs+7EVEa10uERERuSgGPI0IQzjE\nZb8HLvs9ZFEB5He1YW/D65AbXgd6JKi3cEckQ3SL0rpcIiJyOWzC82QMeE5AGCMgJl0NTLoa8tRv\nkLsy1bC3fjXk+tVAr361ffYugTCEa10uERE5uwbTpHAtWs/EgOdkRHgkxBXXAFdcA1mQXx/23n4F\ncsPrEJdeCXHVDIgQg9alEhGRM+PUXB6NAc+JiYhoiMnXAZOvgzx5Qp1fb9smyMzPICZOhbj8GojA\nIK3LJCIip8NpUjxdhwLeunXr7NrPy8sL06dP78ipPJ6IioW4+U7Iy6+BfO8tyI8yILdthph8HYTp\nKghfP61LJCIiIifRoYC3ceNGXHLJJW3ut3PnTgY8BxHRcRC3/x3yyuugbHxD7af32QcQv58JMXYi\nhDcbZYmIPB4b8Dxeh9KAj48P7rjjjjb3y8rK6shpqBmiRx94Lfg/yB9/gPLu65BvrIL8ZCPEtBvV\nkbc6ndYlEhERkUaElOe/InFNTQ287Wgxsne/znTixAlNz9+ZpJTA999C2fgmcPww0L03dNfcBAwa\nzvVvnZxer4fFYtG6DKImeG26NiX9aUhzHrz+9ZLWpThUbCwXBLBXh1KXvaFN63Dn7oQQwEWjoBsy\nEvLbLyE3vgVlxcNAv0HQXXMzRMIArUskIqIuxXu0nq5Dyeu5556zq4Xozjvv7MhpyE5C5wUx2gQ5\nchzkV59CfrgOyhP3A0Mvhm7aLIj4nlqXSEREXYV3cDxahzpqRUdHIyoqClFRUQgMDERWVhYURYHR\naISiKMjKykJgYKCjaiU7CW8f6ExXQffYixDTZgEHcqH8cwGU9KcgC/K1Lo+IiDrb+fe+IjfRoRa8\nGTNm2B4/+uijeOCBBzBgQP3twP379+Odd97pyCmaWL9+PXr27IkjR47g2muvdeix3Y3w84e4KhVy\nwmTIze9AfvEhZNYOiPGXQ1w1EyKUkyUTERG5I4cNtTxw4AD69u3baFtCQgIOHDjgqFNg7969AICR\nI0fCarVi//79Dju2OxNBeuimz4bu0RcgkidCbv8YyqLboGx4HbK8VOvyiIjI0diA5/EcFvB69eqF\nNWvWoKqqCgBQVVWFtWvXomfPno46BX788Uf06tXLdr4ffvjBYcf2BMIQDt1Nd0D3yCqIi0ZBbl4P\nZeFtUDa/A1lZqXV5RETkSLV98KxPLrKtR0uew2HDW++44w48++yzuOWWWxAcHIzS0lL06dMHd999\nt6NOgTNnzsDPT12xwd/fH8XFxQ47ticRkbEQ8/4KecW1UDa+CbnhNcjPP4D43UyIcZM4WTIRkctj\nE56nc9g3eWRkJJYuXYrCwkKcPn0aBoMB3bp1c9ThAajzvelqJ/BVFMX2+Fy5ubnIzc21PU9NTYVe\nr3doLW5h0FBg0FDU7NuDirUvwfpWGsRn78EvdS58xpg4WXIX8PX15bVJTonXpmsr8/aGVadT5zP0\n8gIAt/k8MzIybI8HDRqEQYMGaViN83J4U023bt0QHh4OKSUURQGAFoNYe4WGhqKy9lZieXk5QkJC\nmt2vuQ+cE3a2Ir4X5F8ehW7vLijvvoHy55YC774F3TWzgAtHcrLkTsTJZMlZ8dp0bUpNDaQiYbFY\nYLVaAbjH96Ber0dqaqrWZbgEhwW8oqIipKenY9++fSgrK2v02rp16xxyjsTERBw8eBDDhg2D2WzG\nhRde6JDjUu1kyUOSoBs8AjLrK8j33oLy3CNAwkB1Dr3+g7UukYiI7MVpUjyew+7Bvfjii/D29saS\nJUvg7++PJ554AiNHjsS8efMcdQoMHjwYJSUl2LlzJ4QQGDp0qMOOTSqh00E36lLo/rkK4sb5QEE+\nlGWLYH3qIUjzPq3LIyIie/Hui0dzWAvegQMHsGrVKvj7+0MIgZ49e2L+/Pl48MEHMXHiRIecQwiB\nm2++GQAwevRohxyTmie8vSEmTIYcmwK5/WN1xO0T9wODh0M39UaIXn3bPggREWnO62+PaV0CacBh\nAU+n08GrtiNnUFAQSkpKEBAQgKKiIkedgjQgfP0gJl0NOf4KyK0fQX6yAcpjf1GXP5t6A0T33lqX\nSEREzWEDnkdzWMBLSEjA7t27cfHFF2Po0KF4+umn4evriz59+jjqFKQh4ecPceV1kJdOhvz8A8gt\nG6E8cg8wfCx0U/8AEddD6xKJiKgO++B5PCGlY66CsrIySCkRHByMqqoqfPDBB6ioqMBVV10Fg0H7\nJbFOnDihdQluRZaXQm55H/Kz94DKsxAjx0FM/QNEdLzWpbkUjlQkZ8Vr07UpL/wb8tgheD2ySutS\nHCo2NlbrElyGQ1rwFEXBq6++ittvvx2AOn/Sdddd54hDk5MSgcEQV98AednvID/dqK5zuysTYvSl\n6oTJkfyPkIiISCsOCXg6nQ579uzhfGkeSASHQFx7M+TEqZCfbIDcugnym+0QYy9Tg154pNYlEhF5\nHt6i9XgOmyblqquuQkZGBmpqahx1SHIhIiQMuhlzoXvsRQjTVZA7t0JZ/Ccob66CLCrUujwiIs/D\ntWg9msMGWXz88ccoLi7GRx991GSFibS0NEedhpycCDNCXD8P8vJrIDe/DfnVFsjMzyDGXwkxeTpE\nmFHrEomI3J7kWrQez2EB76677nLUocgNCGM3iBvnQ15xLeRHGZDbNkHu+BRiwhSIK6+D0IdqXSIR\nEZHbcljAGzhwoKMORW5EdIuCuOUuyMnTIT9cq4683bYJYtQEiEsnQ/TgNDpERA7HBjyP16E+eJ9/\n/rld+33xxRcdOQ25AREZA93ce6H750qIURMgv9kOZem9sP7rb1C+3gpZXaV1iURE7oUDHz1ahwLe\n66+/DiklFEVp9eeNN95wVL3k4kR0PHQ33wndk69CXD8PKC+FfOVpKH+fA2X9asiCfK1LJCIicnkd\nukV79uxZXH/99W3u5+Pj05HTkBsSgcEQl/0eMuV3wP49ULZthtyyEfLTd4FBw6GbMAW4cDiEzkvr\nUjIF5EsAABqDSURBVImIXJC0teBxLVrP1KGAt3LlSrv24/x41BIhBDBgKLwGDIU8fQryq08gv/wU\nyspHgPBIiEuvhBg3iYMyiIiI2qFDAS8iIsJRdRBBGMIhpt4AOSUV+P4bKFs3QW54HfL9/0KMSIaY\nMAXok8hfGIiI2sKJjj2ew0bREjmK8PYGRiTDa0Qy5K9HIbdthvz6C8hvtgPxvSAmTFbXvg0K1rpU\nIiIip8SAR05NxFwA8YfbIK+5CfLb7ZBbN0O+uQpyzQvAgKFqy96w0RBBeq1LJSJyHmzA83gMeOQS\nhH8AxPgrIS+5Ajhshty1A3JXJuRrz0G+uQroPwRiZG3YCw5p+4BERO6O3Vk8mkMDXk1NDX766Sec\nPn0aY8eOxdmzZwEA/v7+jjwNeTAhBNCzL0TPvpDXzQaOHFSD3neZkK+vVMNe4pDalr0xEHqGPSLy\nbHXr0HI0rWdxWMA7cuQInnjiCfj4+ODUqVMYO3Ys8vLysH37dtx7772OOg2RjRAC6JEA0SMB8tqb\ngSM/q0Hvu0zIN56HfCsN6H9h/W3ckDCtSyYi6iISAFvwPJnDAt5LL72EmTNnYvz48ZgzZw4Adfmy\nF154wVGnIGqRGvb6QPToA3nNTcDRX9SgtytT7bP31n+A3v0gBl4EMXAY0KsfhBfn2CMiIvfksIB3\n7NgxXHLJJY22+fv7o6qKS1BR1xJCAN17Q3TvDTltFnD8EOR3/4PM3Q354TrID9YCAYHqrdyBw9TQ\nFxmjddlERI4jJRvwPJzDAl5ERAR+/vln9OlTv3i82WxGdHS0o05B1G5CCHVqlfhewNU3QpZZgH3f\nQ+blqIFv9051sFlEdH3rXuKFEIGcgoWIiFyXwwLezJkz8fjjj2PSpEmoqanBu+++iy1btuD22293\n1CmIOkwE6YGR4yBGjoOUEjh5AjJvtxr4dm6H3P4xIHRqC2DCAIiEAUDCAIiwcK1LJyJqH46i9WhC\nSsdNd/3LL7/g888/R0FBAcLDwzFx4kT07t3bUYfvkBMnTmhdAjk5WVMN/HxADXw/5QK//ARU13Yx\n6Balhr0+taEvtjuETtfhc+r1elgslg4fh8jReG26NuvKpcDpQng99IzWpThUbGys1iW4DIdOk9Kr\nVy/88Y9/dOQhibqM8PYB+g2C6DcIQG3gO/IzpHkf5MF9kHk5wM5t6i3dgCCgT3+Inn0heiQAPRKA\nMCOXUSMi58ClyjyewwLehx9+iMGDB6Nnz544cOAAnn76aeh0OixYsAD9+vVz1GmIuozw9gF694fo\n3R/ANPWWbkE+pHkfcHCfGvxycyClor4hJMw2bYvo0QfomcBbu0SkIf7C6ckcFvA++ugjpKSkAADW\nrFmD3/3udwgICMDq1avx2GOcXJFcnxACiIxRR9yOVa91WXlWnZLlsFldYePwQcgfsutDnz4UiO8J\nEdcTiO8BEdcDiOkO4een3V+EiIjcnsMCXnl5OQIDA1FRUYFDhw7hoYcegk6nw+uvv+6oUxA5HeHn\nrw7CSBhg29Yo9B39BfLYIcgvNwNVVertXaEDImOAuB6o6NEHirEbRFQ8EB0HERCo2d+FiNyIlBxk\n4eEcFvDCw8Px448/4ujRoxgwYAB0Oh3Ky8uhc0BHdCJX0mzoU6zAb/nA8cOQxw9BHjsEHPsFlbt3\nAlKpXxc81ABExUFExzX6E92iODEzERHZzWEBb9asWXjqqafg7e2Nv/zlLwCA7OxsJCQkOOoURC5L\n6LyA6Di1lW7EWNv2YH8/WH7+SZ2uJf84cPIYZP5xyOz/AaWW+uDn5Q1ERKvvj4xRA1+3KCA8EgiP\n4i1fImoR16L1TA4LeMOHD2+yLNno0aMxevRoR52CyO0IH1+I2O7qtCvnvCZLS4D845AnT9iCH/KP\nQ+buBqqr0GiMXEiYGvrCI4FuUY0DYFg4AyARkYdx6DQpAFBRUQGLxYKG0+tFRUU5+jREbk8EhwAJ\nIY1u9QKAVBSgpBg49Rtk4Umg8KTtsTz0E5D9P8BqbRwAA4MBQzhgCIcwdAPCjIChmzrKt3Y7AoM5\nzQuRu2AfPI/n0LVon332WRw+fLjJa+vWrXPUaYg8ntDp/r+9ew+OqjrgOP69yW4SkmxCXhBApYoD\nNo+Oj9iKQgLRdtS2Y+20cezUKrXxEaG1WqatOKV2HKcUnAEM4rRxtK2tIy3Wdjr2D6u1jUgYeTkh\nKCgqaiCQzcZkN5vdmOztH3ezyZoEErJhN3d/n5mdva899yQclh/n3nOuFdBm5mMsuGjEfnNgAD7x\ngPsEZsdJ+KQDPunA7OyAzg7Mj963AqJpRofAtDSYWWAFv9x8q1cw/DJyZkJOLrisd8PhPGs/r4iI\nTFzMAl5DQwOlpaWsXbuWlStXsmXLFv785z/HdA68AwcOsGfPHkzT5Nxzz+Xqq6+OWdkidmGkpkJB\nERQUjTkLltnfD12d0OkeCn+fhANgZwfm+4esEBgMWMd/toDM7M+Ev5nWlDCD69k5kO2CrBzIyrLu\nQRQRkbMmZgHv6NGjPPjggzgcDkzTJDMzk+9+97vcf//9VFZWxuQcZWVlBAIBgsEgV111VUzKFElG\nhsMRCYEw9nSoZjBgBb3wyxy+7A2/D/YI9vZYnxlxMsN68ke2C7JckJ2DMRj+wtuMwX2uHCs8ZmZB\n+gxdMhY5Y7pEm+xiFvCcTicDAwM4HA5cLhdut5usrCx8Pl+sToHb7QbgxIkTMStTRMZmpGdYo3eL\niq31UxxrftoH3V1W2OvpxvR5occLPi/0dFujgnu80OXBbD1q7RurhxAgJcUKhplZQ++ZWRjDlplh\nhUHjM8coIIoM0ejZ5BSzgHfRRRexc+dOli1bxhVXXMEjjzyC0+mktLQ0VqegsLCQwsJCKioqYlam\niMSG4UwbV6/gcOann0bCnxUGuzH9PTD46vWBv8fa1ttjjSIeXA6HQxgjIBopMCPTemXMiHoZGeFt\ng/vSrWUjYwZkDDt+xgxIz4S0NIVFmV70LNqkF7OAd99990WWb775Zs4991wCgcCEL88Gg0Gampqi\ntpmmSUZGhqZcEbEZw+m0BnYMe2bveGOU2d8PvX4rBPb6I6HQ9PusADgYEgO9mAE/BHqtdY8bs9cP\nwV5r27B/CMf8JzElJRz6hofFzHBYnDEiQJKeMbQ9ffDYjMi64Yj5BAYiIlGm5FsmJSXljO+7S09P\np6qqatR9N91006jbNUpXJPkYDod1z54rJ3r7BMowQyHoC8JgAAz0WmEx2IvZG14f3NdrvZvB8HJv\nD3S6MQc/F+iFwWcQc4qwCOBwRoLgiN7F9NEC4wyMYQFxKGhmKDDK6Ex0D16Si9m3gs/n4x//+AdH\njx4lEAhE7XvooYdico7xBrmWlhZaWloi6zU1NbhcrpjUQSSW0tLS1DZtwjRN6AtiBnoxe/1W8Ov1\nYwb8p9gW7l0M7zM/8YSP80PvBAKj04mRkWk9yzjcq2jMyAxvG7osbYQvQw8dN8Y2h0Ntc5rzOVIx\nU1Nt+We4bdu2yHJpaWlMbwWzk5gFvE2bNtHf38/ixYtJS0uLVbFRjhw5QjAY5J133uGGG24Y87jR\n/sC9Xu+U1ElkMlwul9qm3aQ4wtPD5Jz+2M8wGOqBNE0TPu0b6h0cfAUD4V7DYZeZAwGr1zHQO9Sj\n2N1lPf94jB7GU3I4MWZkYqZnjOhlNCK9iOphTGQD/QMQCtnu+8XlclFTUxPvakwLMftbd/jwYRoa\nGnA6p24C1Pfee49ly5axd+9eAoEAGRkZU3YuEZF4MgwD0tKtV87M6H1nUN6ogTEYCN+jODwwWtuc\noX4+9XZb+4KBofsXJ3NJepTL0tao6PDUOFnZ1rQ5mdnWtqyhfZpLcaKG/kT0LNrkFLOAd95559HR\n0UFxcXGsihzhy1/+MqFQiFAopHAnIjIBEw2MmafpXR4RGMNhMTowBobtH9xn9TYODXjpAb8P+vqG\nyh7thDMyw6EvHP4yszGyBoOhy1rPdkF2rjXRtsuaZ1HBUJLVpALeK6+8ElkuKyvjkUceYdmyZcyc\nGf3lUV1dPZnTRGlqauLGG29kYGCA1FT9xRURiYeY9zB+2gc9Pivs+X3QEx4R3eMNb+uBHt/QtuMf\nhZd90P+pVcbISlqBMDvHCn6uHOsZz67ccADMwcjOtdazc6wnsUzhVaizStOkJL1JBbzGxsao9YKC\nApqbm0ccF6uA99prr3HgwAGam5upra2NSZkiIhJ/hjMt8ozlyLZxftbsC1pBr6cbvN2Yvm7wdoG3\nG8LLpq8bTh7HPPK2tS1kXV4e9TF8uXnWs55zZkJuPuRa70ZunrUvNw9mZGluRElokwp4a9eujVU9\nxmXJkiUsWbLkrJ5TREQSmzHYk5hnzad4uthlhkLWVDfeLvB1WRNse7ut5zN3d2J2dUJXpxUGuzqt\nS9F8Jgw606yey3AoNfKKIL8QI78Q8gohvxBy8jBSUqbkZx4XBdCkNul78ILBINu3b+ejjz7i/PPP\n58Ybb5zSgRYiIiKTYaSkhAd0ZAPzrG1jHGuapjXnYdcn1mP2wuHPeoXXW49iNu+xpskZ/uHUVGsS\n77zo4GfkF0HhbCicbY1KFpkCkw54Tz75JEeOHOGSSy5h165d+Hw+vv/978eibiIiInFlGEZkUAdz\nzjl1EPT7wOMGTzumxw2d7dZAkk435nuHoPN1GOiPDoGuXCgqxigshqLZ0csz8898kIhpMhhbNXo2\nOU064O3fv59169aRl5fHtddey9q1axXwREQkqRiGYY3mzXLBueePGgTNUMi6LNxxErPjJLS3gfsE\nZnsb5pG34I1GMENDAdDhgPxZMGsORvE8KD7Hep89D3LzdA+gnFJMLtHm5eUBUFhYiN/vn3SlRERE\n7MZISYkM0jAuWDRiv9nfD51uaG/DdLdB+wnM9uPW4JDDB6IvAc/IhNnzRga/2fOGRgIr/yW1SQe8\ngYEBDhw4EFkPhUJR62BNoSIiIiJjMxwOKCq2LtN+Zp8ZCkFnB5z4GLOtFdqsd/PwAWh6dSj4paTA\nrDnQ/QnMm3+WfwJJJJMOeLm5uWzdujWynp2dHbVuGAb19fWTPY2IiEjSMlJSoKAICoowSi6J2mcG\nA3CiFfP4x9b8gMc/sj5zYUk8qioJwjDN5JgN8dixY/GugsgIehatJCq1TUlEc+fOjXcVpo04TtAj\nIiIiU21g/QOR59FK8lDAExEREbEZBTwRERERm1HAExEREbEZBTwRERERm1HAExEREbGZSc+DJyIi\nIolLz6JNTurBExEREbEZBTwRERERm1HAExEREbEZBTwRERERm1HAExEREbEZBTwREREb07Nok5MC\nnoiIiIjNKOCJiIiI2IwCnoiIiIjNKOCJiIiI2IwCnoiIiIjN6Fm0IiIiNqZn0SYn9eCJiIiI2IwC\nnoiIiIjNKOCJiIiI2IwCnoiIiIjNKOCJiIiI2IwCnoiIiI3pWbTJSQFPRERExGYU8ERERERsRgFP\nRERExGYU8ERERERsZlo8qszj8fCHP/yBEydOkJKSgsvloqKigmuuuSbeVRMRERFJOIZpmma8K3E6\nhw4dYtGiRbz22msALFmy5JTHt7S00NLSElmvqamZ0vqJiIjI2bFt27bIcmlpKaWlpXGsTeJKmEu0\nwWCQ//73v1GvV199laamJhYtWsSxY8fIzMzE6/WetqzS0lJqamoir+GNYTqL188R6/PGorwzKWMi\nnxnvsac7brL7p4t4/BxTcc7Jlnmmn49124zFMWqbiXXOeLTNeHxnnu6Ybdu2Rf37rnA3toS5RJue\nnk5VVdWY+//3v//x9a9/nTfffJNQKERKSsJk07MmXg051ueNRXlnUsZEPjPeY093XLJ8+cTj55yK\nc062zDP9fKzbZqyOsQO1zTP/fDy+Myd6XhnbtLhEC/D4449TV1fH888/z5VXXklxcfG4PzuY+EUS\njdqmJCq1TUlEapfjN20C3mS0tLTofwSSkNQ2JVGpbUoiUrscv6QIeCIiIiLJJPluZBMRERGxOQU8\nEREREZtRwBMRERGxGQU8EREREZtJmHnwzrbW1lZefPFFvF4vZWVlfOUrX4l3lUQAeOONN9i7dy+9\nvb1UV1fzhS98Id5VEgHg5MmTPP/88/j9fu677754V0cEsB6U0NDQgNPppKSk5LRPu0oWSduDN2/e\nPGpra/nxj3/M4cOH410dkYjLL7+cO++8k9raWl5//fV4V0ckYtasWdx1113xroZIlF27drF48WLu\nuOMOdu/eHe/qJIxp34O3detW9u7dS25uLhs2bIhs379/P08//TSmabJ8+XK+8Y1vjPjs7t27eeml\nl6isrDybVZYkMZm2CbB9+3auvfbas1VdSSKTbZsiU2mi7dPj8TB//nyApHzK1Vim/W9i+fLlrFmz\nJmpbKBTiySefZM2aNTz66KPs2LGD1tZWwHrk2e9//3s6OzupqKjg5z//OY2NjfGoutjcmbZNj8fD\nn/70Jy699FI+97nPxaHmYneT+d4UmWoTbZ8FBQV0dHQAoKl9h0z7gHfRRReRlZUVte3dd99lzpw5\nFBUV4XA4uOqqq3jjjTcAqKys5NZbb+X48eM89dRT/Pa3v+XSSy+NR9XF5s60be7atYsDBw7Q1NTE\nv//973hUXWzuTNum0+nkd7/7HR988AEvvPBCPKouSWCi7fOLX/wiTU1NNDQ0cNlll8Wjyglp2l+i\nHY3H46GgoCCynp+fz7vvvht1TElJCSUlJWe7apLkxtM2r7vuOq677rqzXTVJcuNpm9nZ2dTW1p7t\nqomcsn2mp6dTV1cXr6olrGnfgyciIiIi0WwZ8PLz83G73ZF1j8dDfn5+HGskYlHblESltimJTO1z\n4mwR8EzTjLqx8sILL6StrY329nb6+/vZsWMHFRUVcayhJCu1TUlUapuSyNQ+J88wp/mQk02bNnHw\n4EG8Xi+5ubnU1NSwfPly9u3bFxlOXV1dreH+ctapbUqiUtuURKb2GRvTPuCJiIiISDRbXKIVERER\nkSEKeCIiIiI2o4AnIiIiYjMKeCIiIiI2o4AnIiIiYjMKeCIiIiI2o4AnIiIiYjMKeCIiY2hvb+em\nm27i1ltv5eWXX45JmatWreI73/kO9fX1MSlPRGQ0jnhXQEQSzz333ENXVxepqamYpolhGGzatImZ\nM2fGu2px8fTTT2MYBgAHDx7kscceY+vWrVHHPPTQQyxdupTq6upTlvXYY4/xl7/8hRMnTkxZfUVE\nFPBEZFQ/+9nPKCsrO+UxoVCIlBT7XwgYDLkiItOFAp6IjFt7ezsrV67kzjvv5K9//SuzZs3il7/8\nJYcPH+aPf/wjH3/8MUVFRdx2222UlJQAcPLkSR5//HHef/99Fi5cyJw5c+jp6WHVqlWj9obdc889\n3H333ZSVlWGaJn//+995+eWX8fv9lJeXU1tbS1ZWVqQudXV1PPfcc/T19XH99dfzzW9+E7DC5wsv\nvMB//vMfuru7mTt3LqtXr+Zvf/sbTqeT733ve5Fz/uY3v6GsrIzrr78+Jr+ndevW0dLSgmEYmKZJ\nMBikrq6OqqqqmJQvInI6CngiMmFvvfUWGzduxDAMPB4P69atY9WqVVx88cU0Nzfz6KOPsnHjRlwu\nF5s3b2bRokU8+OCDvPPOO/z617/m8ssvH9d5/vWvf7F7925+9atf4XK5eOqpp2hoaOBHP/pR5JhD\nhw6xefNmWltbeeCBB7jiiiuYO3cu//znP9m5cydr1qyhuLiYDz/8kLS0NKqqqtiwYUMk4Hm9Xpqb\nm7nrrrti9vv56U9/Glnev38/TzzxBOXl5TErX0TkdBTwRGRU69evj1x+LS0t5Sc/+UlkX01NDWlp\naQA0NjZyySWXcPHFFwNQXl7OBRdcwL59+ygpKeHIkSP84he/wOFw8PnPf57LLrts3HV46aWXuP32\n28nLywPgW9/6FnV1daxatSpyzLe//W0cDgfz589n/vz5fPDBB8ydO5dXXnmFW265heLiYgDOO+88\nAC688EIyMzNpbm6mvLycHTt2UFpaSk5Ozrjr5fF4WLFiRdS2QCDA0qVLo7YdO3aMLVu2sHr1avLz\n88ddvojIZCngicioVq9ePeY9eAUFBZHl9vZ2du7cyZ49eyLbBgYGKCsro7Ozk+zs7EgYBCgsLMTj\n8YyrDm63mw0bNkTd/+ZwOOjq6oqs5+bmRpbT09MJBAIAdHR0MHv27FHLrayspLGxkfLychobG/nq\nV786rvoMys/PH3WQxXB+v5/169dz8803s3DhwgmVLyIyWQp4IjIphYWFVFVVcccdd4zY53a78fl8\n9PX1RUKe2+2O9Aymp6fT19cXOT4UCtHd3R1V9t133z1qQGpvbz9lvQoKCmhra+Occ84Zsa+yspL7\n77+fo0ePcuzYsXFfMh4v0zTZvHkz5eXlpx1VKyIyFew//E1EptTSpUvZs2cPb775JqFQiL6+Pg4e\nPIjH46GwsJAFCxawbds2+vv7efvtt6N6+ubMmUNfXx/79u1jYGCA7du309/fH9l/zTXX8Oyzz+J2\nuwHo7u5m9+7d46pXdXU1zz33HG1tbQB8+OGH+Hw+wOqBW7BgAfX19XzpS1/C6XTG6tcBwLPPPksw\nGOS2226LabkiIuOlHjwRGWEiU4IUFBSwevVqnnnmGTZt2kRqaioLFiygtrYWgB/+8Ids2bKF22+/\nnYULF1JVVYXf7wcgMzOTH/zgBzzxxBOEQiFuuOGGqMu/g6NaH374YTo7O8nNzeXKK6+koqLitPX6\n2te+Rn9/Pw8//DBer5d58+ZF3UdYVVVFfX39iHvpYmHHjh10dXWxYsWKyBQrtbW1LFmyJObnEhEZ\njWGaphnvSohI8hic5HflypVxrcdbb71FfX09W7ZsGfMYt9vNvffei9Pp5JZbbonJ5dZ7772Xzs5O\nFi9eHNORuyIiw6kHT0SSTn9/Py+++CJXX331KY8rLCzkmWeeiem5N27cGNPyRERGo3vwRCSptLa2\nsmLFCrq6umI2sbGISKLRJVoRERERm1EPnoiIiIjNKOCJiIiI2IwCnoiIiIjNKOCJiIiI2IwCnoiI\niIjNKOCJiIiI2Mz/AZQQYGJyLPdIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112dc5080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"Displacement\")\n",
"inv.plot_response(0.001, output=\"DISP\")\n",
"print(\"Velocity\")\n",
"inv.plot_response(0.001, output=\"VEL\")\n",
"print(\"Acceleration\")\n",
"inv.plot_response(0.001, output=\"ACC\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Basic properties of the Fourier transform result in \n",
"\n",
"$$\n",
"\\begin{align}\n",
"X_v(\\omega) &= (i \\omega) X_d(\\omega) \\\\\n",
"X_a(\\omega) &= (i \\omega) X_v(\\omega)\n",
"\\end{align}\n",
"$$\n",
"\n",
"where $X_d$, $X_v$, and $X_a$ are the Fourier transforms of displacement $x_d(t)$, velocity $x_v(t)$, and acceleration $x_a(t)$.\n",
"\n",
"We also have the relationship between ground motion, instrument response, and the output form the seismometer:\n",
"\n",
"$$\n",
"\\begin{align}\n",
"x_a(t) * i_a(t) &= c(t) \\\\\n",
"X_a(\\omega) I_a (\\omega) &= C(\\omega) \n",
"\\end{align}\n",
"$$\n",
"\n",
"Here wer have assumed that the instrument response is described with respect to acceleration. But we could alternatively consider the instrument response with respect to velocity or displacement; **the key point is that what comes out of the seismometer,** $C(\\omega)$**, is fixed.** But we can descibe the input ground motion as displacement, velocity, or acceleration. Showing all three together and omitting explicit $\\omega$ dependence, we have\n",
"\n",
"$$\n",
"\\begin{align}\n",
"C &= X_a I_a = X_v I_v = X_d I_d\\\\\n",
" &= (i\\omega) X_v I_a = (i \\omega) X_d I_V = X_d I_d \\\\\n",
" &= (i\\omega)^2 X_d I_a = (i \\omega) X_d I_V = X_d I_d \\\\\n",
"I_v &= I_d \\ (i\\omega)\\\\\n",
"I_a&= I_v \\ (i\\omega)\\\\\n",
"\\end{align}\n",
"$$\n",
"\n",
"It turns out that the effect of differentiation in the time domain leads to an *increase by a factor of one* in the slope of the amplitude spectrum, $|H(\\omega)|$, in log-log space, for example, by changing from $X_d(\\omega)$ to $X_v(\\omega)$. But when we are looking at the *instrument response*, the slope will *decrease by a factor of one* when changing from, say, $I_d(\\omega)$ to $I_v(\\omega)$.\n",
"\n",
"We see this in the above figure. Consider the flat segment in the velocity correction spectrum: the displacement shows a corresponding slope increase whereas the acceleration show a slope decrease.\n",
"\n",
"**QUESTION:** What is meant by a \"broadband\" seismometer?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### L3 Deconvolve instrument response for a seismogram"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will download some data and remove its instrument response.\n",
"\n",
"The first step is to get some data - we will once again use the FDSN web services but this time also to download waveform data."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"otime = obspy.UTCDateTime(2004, 12, 26, 0, 58, 50)\n",
"duration = 5 * 86400\n",
"starttime = otime\n",
"endtime = starttime + duration\n",
"\n",
"st = c.get_waveforms(network=\"G\", station=\"CAN\", location=\"\", channel=\"LH*\",\n",
" starttime=starttime, endtime=endtime)\n",
"\n",
"# Do it once again to also get the response information of the vertical channels.\n",
"inv = c.get_stations(network=\"G\", station=\"CAN\", location=\"\", channel=\"LH*\",\n",
" starttime=starttime, endtime=endtime, level=\"response\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will now show what the main arrival looks like at bandpass 50-500s with and without the instrument deconvolution."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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QRiHVlZaWBk1NTSQkJCAzMxOOjo548uRJvfsqKSmBrq4u9PX1hfvyFBQU4Kuv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\nGGOMsYDGzQxjjDHGAtpf/PRZt0Cp7DAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112d66e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the first our - slice() will leave the original \n",
"# data stream intact and just returns a new view on the\n",
"# data.\n",
"st.slice(endtime=otime + 3600).copy().taper(0.05).filter(\n",
" \"bandpass\", freqmin=1.0 / 500.0, freqmax=1.0 / 50.0).plot()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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VFkkkEkgkkmfdDMYYY+xv9Z8PaogIZWVl0NPTaxKBABFBpVLB2Ni4SRwPY4wx1lD/+aCm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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1131f7208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Now plot the same but with the instrument removed.\n",
"# Note the copy() here as remove_response() would otherwise\n",
"# remove the contents of the original data stream.\n",
"st.slice(endtime=otime + 3600).copy().remove_response(\n",
" inventory=inv, output=\"VEL\").taper(0.05).filter(\n",
" \"bandpass\", freqmin=1.0 / 500.0, freqmax=1.0 / 50.0).plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What are the differences? What is their cause?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will now plot the amplitude spectrum over 0.2 - 1.0 mHz to show the gravest normal mode peaks. We will only use the vertical component to simplify things.\n",
"\n",
"We will first do it without instrument correction"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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xRkJQ5nTy/f39+Zx/VfL5fLwuDnhdEvGaOON1ccbr4izddZHAaCg7ZqG/rw/KnXk+Q/tH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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1131f7400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"tr = st.select(component=\"Z\")[0].copy().taper(0.05)\n",
"\n",
"# rfft() is a varient of the FFT for real valued input.\n",
"# The negative frequencies of a DFT for purely real valued\n",
"# input are just the complex conjugates of the corresponding\n",
"# positive frequencies and thus redundant.\n",
"D = np.fft.rfft(tr.data)\n",
"# Return the corresponding frequencies.\n",
"freqs = np.fft.rfftfreq(tr.stats.npts, d=tr.stats.delta)\n",
"\n",
"plt.plot(freqs, np.abs(D))\n",
"plt.xlim(0.2E-3, 1.0E-3)\n",
"plt.ylim(0, 1E7)\n",
"plt.xlabel(\"Frequency [mHz]\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Instrument removal is, in practice, a tricky and unstable operation. Have a look at the [documentation of the remove_response() method](http://docs.obspy.org/packages/autogen/obspy.core.trace.Trace.remove_response.html) and try to understand the meaning of the various parameters and when you would want to use each."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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RY9jtGJ35agAsyxyhwyGro0U13Ffq8UsMvoiIiIAxHKwd33DfaLJeQMX2NCXFhnsGX0RE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\ngw8+gGVZOPPMM7HXXsUZmptKPtblpZdewgMPPID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"text/plain": [
"<matplotlib.figure.Figure at 0x1146c02e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Remember the copy()!\n",
"tr = st.select(component=\"Z\").copy().remove_response(inventory=inv, \n",
" output=\"DISP\")[0]\n",
"\n",
"D = np.fft.rfft(tr.data)\n",
"freqs = np.fft.rfftfreq(tr.stats.npts, d=tr.stats.delta)\n",
"\n",
"plt.plot(freqs, np.abs(D))\n",
"plt.xlim(0.2E-3, 1.0E-3)\n",
"plt.ylim(0, 5.0)\n",
"plt.xlabel(\"Frequency [mHz]\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Are there any difference to the previous versions? If yes - what are they? Keep in mind that the previous plot is based on velocity data, whereas this one has been corrected to displacement."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are interested in the spectrum of the data so we don't really need to use instrument corrected data to calculate the spectrum - we can just calculate the spectrum and divide by the response."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/lion/.miniconda3/envs/pyasdf_py35/lib/python3.5/site-packages/ipykernel/__main__.py:9: RuntimeWarning: divide by zero encountered in true_divide\n"
]
},
{
"data": {
"image/png": 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6YPOrfh8GNblJadYX9kWGvCu2CrLoFkelxlew1OUb5+btHkqTQtMgGYg1Pl0H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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b04fcc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tr = st.select(component=\"Z\")[0].copy().taper(0.05)\n",
"\n",
"D = np.fft.rfft(tr.data)\n",
"freqs = np.fft.rfftfreq(tr.stats.npts, d=tr.stats.delta)\n",
"# Advanced ObsPy-foo to directly get the complex response.\n",
"freq_response, _ = \\\n",
" inv.select(channel=\"LHZ\")[0][0][0].response.get_evalresp_response(\n",
" tr.stats.delta, tr.stats.npts, output=\"DISP\")\n",
"\n",
"plt.plot(freqs, np.abs(D)/ np.abs(freq_response))\n",
"plt.xlim(0.2E-3, 1.0E-3)\n",
"plt.ylim(0, 35.0)\n",
"plt.xlabel(\"Frequency [mHz]\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that this is quite different then the previous spectrum. **Why?** Keep in mind that we are operating far from the passband of the instrument. The following two plots as well as the\n",
"[documentation of the remove_response() method](http://docs.obspy.org/packages/autogen/obspy.core.trace.Trace.remove_response.html) should help you answer that question. Which alternative yields the more correct answer?"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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MJk2a5JcgrLXu5ss6mZmZlJSUUFpaSlJSEgUFBc0uaXYs/vwBsBV7GwyEWO0e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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1148b3fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"inv.select(channel=\"LHZ\").plot_response(min_freq=0.0001);"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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T8eeff3LHgqr5q1q61CWRSJCUlITz589j3759mDp1KvLz8zFgwAAMHjwY/v7+GD9+PPz9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TH9+vUDiqLRtmzZwrZt29SGtZY8d0X5+eefdR6jynGvjuTn5zNo0CDNHSn6O+3fv9/AFlUN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\njzzyCBs2bNA9v3fvHufPnzfb7p1CGFKrVrmcP2/JiRPx+Ps3IDtbJ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BDmQ1qOhRBC1Gp/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\nepIcCyGEEEIIIYSo9f4fF1ybjhuFEiMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114602278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tr = st.select(component=\"Z\").copy().remove_response(\n",
" inventory=inv, output=\"DISP\", plot=True)[0]"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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