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Jupyter notebook demonstrating a simple oscillator model of earthquake clustering
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One of the major unsolved problems in earthquake science and seismic hazard is understanding why earthquakes in a region seem to be 'clustered' in both time and space. The recent (and possibly ongoing) [sequence of earthquakes in central Italy][c-it-seq] is an example of this: Given the long (hundreds to thousands of years) time between earthquakes on each individual fault, it is highly improbable that these faults would *independently* rupture within a few years of each other. (Note that we are not discussing aftershocks here, but similarly-sized earthquakes on different faults).\n",
"\n",
"The implication, therefore, is that the earthquakes are either A) triggering one another, or B) responding to some larger signal. We don't have any indication that B happened in Italy; there was no larger regional or global burst in seismicity that might give evidence of this, or any known anomalous geophysical activity.\n",
"\n",
"It's more reasonable to consider that the first earthquake may have perturbed the other faults enough to cause them to rupture shortly thereafter. After several decades of research into this phenomenon, the tectonics and seismological community generally recognizes that 'coseismic stress changes' can induce seismicity on other faults. Coseismic stress changes are modifications of the balance of forces promoting and resisting earthquakes on faults, caused by deformation of the crust during and after an earthquake. These are typically calculated in terms of the [Coulomb stress change][csc], which is the change in shear stress promoting fault slip minus the change in frictional strength resisting slip.\n",
"\n",
"Coulomb stress changes are frequently shown to correlate with seismicity following an earthquake, and it makes sense theoretically that increasing the forces promoting fault slip or decreasing the resistance (or both) should promote earthquakes. However, Coulomb stress changes are typically very small relative to the stress released during an earthquake (often 0.1% to 1%), so it's not at all clear how they could be a significant trigger of earthquakes.\n",
"\n",
"Earthquakes in general are a fairly difficult topic to study. They are brief and unplanned, making them hard to capture. They start thousands of meters underneath the surface, and may not reach the surface at all, making direct observation difficult. They don't last long and they're incredibly violent, so when they do hit you're better off running for cover than grabbing your camera. So understanding the conditions under which a small perturbation like a coseismic stress change can drastically affect a much larger system can hopefully tell us a lot about the system that we can't infer directly.\n",
"\n",
"In this blog post, we'll explore some ideas about earthquake triggering using the mathematical and statistical physics concepts of 'sync' to try and replicate some of the basic observations of earthquake clustering. If we're successful, we'll have learned a bit about earthquakes, and in the future we'll work on further clarifying the physics of the process, as well as demonstrating how earthquake clustering and related phenomena affect societal risk and vulnerability. This is the GEM Foundation, after all.\n",
"\n",
"[c-it-seq]: https://www.emsc-csem.org/Earthquake/250/M6-1-CENTRAL-ITALY-on-October-26th-2016-at-19-18-UTC\n",
"\n",
"[csc]: https://en.wikipedia.org/wiki/Coulomb_stress_transfer"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Stress and the earthquake cycle\n",
"\n",
"Faults go through a cyclic process of loading (in which shear stress accumulates on the fault) and unloading (in which shear stress is released during an earthquake), which is often referred to as 'the earthquake cycle'. The loading portion of the cycle is very slow, hundreds to tens of thousands of years, while the earthquakes last seconds.\n",
"\n",
"Because we don't have a lot of evidence for tectonic plates speeding up and slowing down over earthquake cycle timescales, it's often assumed that the increase in stress (due to plate tectonic processes loading the faults) is linear. This has lead to a view of the earthquake cycle that looks like this, which we'll call the 'sawtooth pattern':\n",
"\n",
"![sawtooth earthquake cycle](eq_cycle_sawtooth.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"However, there is a problem with this simple model of the earthquake cycle. As pointed out by several researchers (including [Gomberg et al. (1998)][gb98] and [Scholz (2010)][s10]), if the 'phase' of the earthquake cycle (shear stress divided by frictional strength) increases linearly, then the an earthquake can only trigger another earthquake via a small coseismic perturbation (say 1% of the total stress cycle) if the second fault is already >99% of the way through its cycle. This is inconsistent with evidence of earthquake clusters on faults with very different recurrence intervals, for example faults around Seattle, Washington ([Sherrod and Gomberg, 2014][sg14]).\n",
"\n",
"Therefore, something about the loading cycle must be nonlinear. Gomberg et al. (1998) suggest that the frictional strength of faults changes throughout the earthquake cycle. This is possible and supported by laboratory friction experiments which show that faults strengthen with time after failure.\n",
"\n",
"Scholz (2010), on the other hand, suggests that the stress loading on the fault is nonlinear due to viscoelastic relaxation in the lower crust and upper mantle below the faults, and that this effect is much larger than time-dependent changes in frictional strength.\n",
"\n",
"[gb98]: http://onlinelibrary.wiley.com/doi/10.1029/98JB01125/full\n",
"[s10]: http://www.bssaonline.org/content/100/3/901.full.pdf\n",
"[sg14]: http://onlinelibrary.wiley.com/doi/10.1002/2013JB010635/full"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Simulating fault interaction and clustering\n",
"\n",
"In this post, we will make some models of faults that interact over the earthquake cycle. We'll look at the effects of fault reloading, and of how differences in earthquake recurrence intervals on interacting faults affect the amount of clustering.\n",
"\n",
"We will keep the models pretty basic at this point, and not bring in much realistic geophyics. In the future, once we know a little better what to focus on, we can start bringing in more complexities and realism. For now, though, we'll keep it simple.\n",
"\n",
"Please note that this post is done in a [Jupyter notebook] and can be [downloaded][] and executed on your computer if you have the basic scientific Python packages.\n",
"\n",
"First, let's import the important modules."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Now, we're going to make a simple `Fault` class that does a couple of things. It has some intrinsic characteristics (the recurrence interval), and some changing characteristics (the `phase` of the fault, or where it is in the earthquake cycle). The fault loads progressively with time, either linearly or nonlinearly, and when the phase reaches about 1 (there is some randomness; it is the earth after all), an earthquake occurs and the phase drops down to zero. When the earthquake occurs, it sends a little push of 0.01 phase units to other faults."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class Fault(object):\n",
" def __init__(self, nat_rec_int, n_yrs=int(1e5), start_phase=0., other_faults=list()):\n",
" self.phase = start_phase\n",
" self.phase_time_series = np.zeros(n_yrs)\n",
" self.phase_max = 1.\n",
" self.eq_list = []\n",
" self.nat_rec_int = nat_rec_int\n",
" self.dp = 1 / self.nat_rec_int\n",
" self.other_faults = [other_faults]\n",
" self.load_constant = 5 / self.nat_rec_int\n",
" self.elapsed_time = 0.\n",
" \n",
" def linear_advance(self, year):\n",
" self.phase += self.dp\n",
" self.phase_time_series[year] = self.phase\n",
" \n",
" if self.phase > self.phase_max:\n",
" self.earthquake(year)\n",
" self.phase_max = 1 + np.random.normal() * 0.05\n",
" \n",
" def nonlinear_advance(self, year):\n",
" self.phase += nl_load(self.elapsed_time, self.nat_rec_int) \n",
" self.phase_time_series[year] = self.phase\n",
" \n",
" self.elapsed_time += 1.\n",
" \n",
" if self.phase > self.phase_max:\n",
" self.earthquake(year)\n",
" self.phase_max = 1 + np.random.normal() * 0.05\n",
" \n",
" def eq_advance(self, year, push=0.01):\n",
" self.phase += push\n",
" \n",
" if self.phase > 1:\n",
" self.earthquake(year)\n",
" \n",
" def earthquake(self, year):\n",
" self.eq_list.append(year)\n",
" \n",
" self.elapsed_time = 0.\n",
" self.phase = 0.\n",
" \n",
" if len(self.other_faults) > 0:\n",
" for fault in self.other_faults:\n",
" fault.eq_advance(year)\n",
" \n",
" \n",
"def nl_load(elapsed_time, nat_rec=100):\n",
" load_const = 5 / nat_rec\n",
" lin_load = 1 / nat_rec\n",
" \n",
" nl = 2/3 * load_const * np.exp(-load_const * elapsed_time)\n",
" lin = 1/3 * lin_load\n",
" \n",
" return nl + lin"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(Hopefully that wasn't too bad, the code is self-explanatory, and the lack of comments doesn't bother you. Sorry! But right now I just want to focus on the science, not the code.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear fault reloading\n",
"\n",
"Our first experiment will be looking at two faults that load linearly, and have somewhat different recurrence intervals (400 and 700 years, respectively). Other than the recurrence intervals, they're identical.\n",
"\n",
"When each fault ruptures, it affects the other one, pushing its phase forward by 0.01.\n",
"\n",
"Let's simulate 1,000,000 years of the earthquake cycle:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# experiment setup\n",
"\n",
"n_yrs = int(1e6)\n",
"yrs = np.arange(n_yrs, dtype=int)\n",
"\n",
"fault1 = Fault(400, n_yrs=n_yrs)\n",
"fault2 = Fault(700, n_yrs=n_yrs)\n",
"\n",
"fault1.other_faults = [fault2]\n",
"fault2.other_faults = [fault1]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Now start the clock\n",
"\n",
"for yr in yrs:\n",
" fault1.linear_advance(yr)\n",
" fault2.linear_advance(yr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's look at part of the history:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
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1XwSS0op7aLsJqNtnehMSSTGjphifcchsrGmno2gImPlI2vb5gSP3WtseKhiD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7CGi7VcNXPbGRFQ+dDKDeNOLpANw50B3cObEBxS6qqQFGzqQ++rMK3n1wsDekRjGlKvJNjWIS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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f48852fe940>"
]
},
"metadata": {
"image/png": {
"height": 317,
"width": 610
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,5))\n",
"\n",
"plt.plot(yrs[:5000], fault1.phase_time_series[:5000], \n",
" label='fault1')\n",
"plt.plot(yrs[:5000], fault2.phase_time_series[:5000], \n",
" label='fault1')\n",
"\n",
"plt.legend(loc='best')\n",
"\n",
"plt.xlabel('years')\n",
"plt.ylabel('phase')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So it looks like the earthquakes overlap a little bit, sometimes, but in general it doesn't look like the faults have a dramatic effect on one another.\n",
"\n",
"One way to tell is to look at the time difference between the events; if there is a high frequency of small times between events, this is a sign of clustering."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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FIACZeQNwzIh5+898NNNWAcfV1/qo+xxKECJJkiSJCesDIkmSJGmyTeQZEEmS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\nzhiASJIkSeqMAYgkSZKkzhiASJIkSeq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ORQcCZwO3AN8BdsvXabqk/YrXqQl7ArcCC4Ar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\nM7PKuAFiZmZmZmaV+X8rTR34HHIZCwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f48852ccef0>"
]
},
"metadata": {
"image/png": {
"height": 277,
"width": 400
}
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(np.diff(np.sort(fault1.eq_list + fault2.eq_list)), \n",
" bins=20, normed=True)\n",
"\n",
"plt.xlabel('time between ruptures')\n",
"plt.ylabel('relative freq.')\n",
"\n",
"plt.title('Earthquake recurrence times, two linear faults')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well, that's not very promising for the linear loading model.\n",
"\n",
"\n",
"### Nonlinear fault reloading\n",
"\n",
"Let's try a nonlinear loading pattern and see what happens. Here is the nonlinear loading function; it's 1/3 linear (representing tectonic stress increase throughout the crust, which is probably linear) and 2/3 nonlinear (exponentially-decreasing), representing viscoelastic relaxation of the lower crust and upper mantle. (This is not meant to accurately represent the physics involved--we'll save that for a later post.)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9EEREREQkQTjnWL/7AIsLS1hS4HUU3rbvyP4BofJ7Z9YFAdPzssnL6YqZNVou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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4885153ac8>"
]
},
"metadata": {
"image/png": {
"height": 277,
"width": 387
}
},
"output_type": "display_data"
}
],
"source": [
"cycle_len = 400\n",
"cycle = np.arange(cycle_len)\n",
"\n",
"plt.plot(cycle, np.cumsum(nl_load(cycle, cycle_len)))\n",
"\n",
"plt.xlabel('years')\n",
"plt.ylabel('phase')\n",
"plt.title('Nonlinear loading function, 400 year EQ cycle')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, so let's run the experiment again, changing only the loading functions of the fault:"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_yrs = int(1e6)\n",
"yrs = np.arange(n_yrs, dtype=int)\n",
"\n",
"fault3 = Fault(400, n_yrs=n_yrs)\n",
"fault4 = Fault(700, n_yrs=n_yrs)\n",
"\n",
"fault3.other_faults = [fault4]\n",
"fault4.other_faults = [fault3]"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"for yr in yrs:\n",
" fault3.nonlinear_advance(yr)\n",
" fault4.nonlinear_advance(yr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's look at the beginning of the time series. Fault 3 is on top, Fault 4 is on bottom. When Fault 3 has an earthquake, it's a red line Fault 4's time series, and vice versa."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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2enFczi6RXbO0gHAE6w/HI1TStPuzeYMdYlOqvpo4cfh03mA0v0EfLF6DW8nh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32zdb8rOVPNE2YYwGrRv/LxgR6HjirM7fR4HeN8tX11mCcV3cabxsvGjVKIxpO4spDN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G2j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\n+0iTlbanTvfmvQmYBfWuNDI+UXJ8sp6VXw5f7FdfuG7E6rZGbe5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"text/plain": [
"<matplotlib.figure.Figure at 0x7f48855da5c0>"
]
},
"metadata": {
"image/png": {
"height": 317,
"width": 833
}
},
"output_type": "display_data"
}
],
"source": [
"f, (ax0, ax1) = plt.subplots(2, sharex=True, figsize=(14,5))\n",
"\n",
"yr_lim = 10000\n",
"\n",
"ax0.plot(yrs[:yr_lim], fault3.phase_time_series[:yr_lim])\n",
"ax0.set_ylabel('fault 3 phase')\n",
"for eq in fault4.eq_list:\n",
" if eq < yr_lim:\n",
" ax0.axvline(eq, color='r')\n",
" \n",
"ax1.plot(yrs[:yr_lim], fault4.phase_time_series[:yr_lim])\n",
"ax1.set_ylabel('fault 4 phase')\n",
"for eq in fault3.eq_list:\n",
" if eq < yr_lim:\n",
" ax1.axvline(eq, color='r') \n",
" \n",
"plt.xlabel('years')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It looks like the earthquakes coincide a bit more here. Again, let's look at a histogram of the time between earthquakes and see if there is a spike at very low values:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SnoHdODOfnJlPpjQkhkdfLajrd9VqLmmq/2ALjHg1JWBYRXk+dmvK8+OPr22/yyYo/yeM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\nIEmSJKmXQYMkSZKkXv8fBjfPXPuo698AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f487f634940>"
]
},
"metadata": {
"image/png": {
"height": 277,
"width": 390
}
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(np.diff(np.sort(fault3.eq_list + fault4.eq_list)), bins=25)\n",
"\n",
"plt.xlabel('time between ruptures')\n",
"plt.ylabel('relative freq.')\n",
"\n",
"plt.title('Earthquake recurrence times, two nonlinear faults')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's pretty dramatic; we're definitely seeing clusters. I think that this is particularly impressive given that the faults only change each others' phase *by 1%*.\n",
"\n",
"One of the interesting things about this type of interaction between oscillating objects is that given nonlinear reloading and *relatively* similar oscillation periods (earthquake recurrence intervals in this case), they should progressively become more synchronized with time. This means that it's not super important how out of phase they were in the beginning, sync will eventually occur.\n",
"\n",
"Let's look at the end of the time series we just ran and see if the faults appear more synchronized:"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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pGhT+v6R6XEV/37CKb1MsxtjA4v4DEFjW2xLiLEmFm1PEWBhjWLrjMvou2YPvBMxi+dzm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\nvL0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n2CLzUt3Yhrc3y0USv5mdhjCL+h968fm+AhRUSQm7yGB/3E0JO0OwI6dC1W360Gzz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\naUhjE1OSgjAySzsYFFyqA7G5BLleK/HCudnOFdz7fkUbkDn3lZmrTpbnW3q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"text/plain": [
"<matplotlib.figure.Figure at 0x7f487f767b38>"
]
},
"metadata": {
"image/png": {
"height": 317,
"width": 840
}
},
"output_type": "display_data"
}
],
"source": [
"f, (ax0, ax1) = plt.subplots(2, sharex=True, figsize=(14,5))\n",
"\n",
"yr_lim = 10000\n",
"\n",
"ax0.plot(yrs[-yr_lim:], fault3.phase_time_series[-yr_lim:])\n",
"ax0.set_ylabel('fault 3 phase')\n",
"for eq in fault4.eq_list:\n",
" if eq > (1e6 - yr_lim):\n",
" ax0.axvline(eq, color='r')\n",
" \n",
"ax1.plot(yrs[-yr_lim:], fault4.phase_time_series[-yr_lim:])\n",
"ax1.set_ylabel('fault 4 phase')\n",
"for eq in fault3.eq_list:\n",
" #if eq < yr_lim:\n",
" if eq > (1e6 - yr_lim):\n",
" ax1.axvline(eq, color='r') \n",
" \n",
"plt.xlabel('years')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And indeed they do, at least at a simple glance."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Effects of recurrence intervals\n",
"\n",
"The existing literature on the topic (both by Scholz and by the mathematicians and statistical physicists who developed these concepts in the late 20th century) is largely concerned with more or less perfect synchronization. In this blog post, I've only been seeking to reproduce earthquake clusters some of the time, rather than all the time.\n",
"\n",
"However, even with very different slip rates (400 and 700 years) we saw that the two faults in the last experiment became more synchronized with time. The research on the topic suggests that, all else equal, oscillators with more similar periods (i.e. faults with more similar recurrence intervals) will have an easier time becoming synchronized.\n",
"\n",
"Let's adjust the recurrence intervals a bit and see what happens. Now we have faults with a 10% different recurrence interval:"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"fault5 = Fault(500, n_yrs=n_yrs)\n",
"fault6 = Fault(550, n_yrs=n_yrs)\n",
"\n",
"fault5.other_faults = [fault6]\n",
"fault6.other_faults = [fault5]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"for yr in yrs:\n",
" fault5.nonlinear_advance(yr)\n",
" fault6.nonlinear_advance(yr)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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DsUgHTl/FCzu092utmzpha4Af3t57WuHILFNJuQrPbIvA3+fSbv/NdEvX80owfV0wLqQV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zEG5fkpKozIeTR0D6GmQ+oFuXyqs6tD1VRN7+Yqw9eSOOOqHK7thjtQLVSWnYiidHtWs9R0DKKp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\ne9gt7k93uDaj1d7SpFXLSEsdBa7d6NHWuuV7ffa0t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hJhi4e5YOEL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\nqmQkYWN93f5LfbjUPQIAKM7LpjSmxbxypR+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0rCAYCuM/FclY2i/O4BsP4PnG7ui1Vysm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"text/plain": [
"<matplotlib.figure.Figure at 0x7f4885373828>"
]
},
"metadata": {
"image/png": {
"height": 317,
"width": 951
}
},
"output_type": "display_data"
}
],
"source": [
"f, (ax0, ax1) = plt.subplots(2, sharex=True, figsize=(16,5))\n",
"\n",
"yr_lim = 10000\n",
"\n",
"ax0.plot(yrs[-yr_lim:], fault5.phase_time_series[-yr_lim:])\n",
"ax0.set_ylabel('fault 5 phase')\n",
"for eq in fault6.eq_list:\n",
" if eq > (1e6 - yr_lim):\n",
" ax0.axvline(eq, color='r')\n",
" \n",
"ax1.plot(yrs[-yr_lim:], fault6.phase_time_series[-yr_lim:])\n",
"ax1.set_ylabel('fault 6 phase')\n",
"for eq in fault5.eq_list:\n",
" #if eq < yr_lim:\n",
" if eq > (1e6 - yr_lim):\n",
" ax1.axvline(eq, color='r') \n",
" \n",
"plt.xlabel('years')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well, this is definitely far more synchronization that we've seen, but it's still not perfect. I'm going to claim this is because of the randomness involved in the earthquake threshold (it's not perfectly 1), but I'm not sure. Maybe in the future I will investigate."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### More faults\n",
"\n",
"For our last experiment, let's look to see what happens with more faults, of very different recurrence intervals. This more accurately characterizes many regions, as earthquakes tend to occur on a few highly active faults and the other regional faults are subsidiary. These systems often display clusters as well."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"fault01 = Fault(1000, n_yrs=n_yrs)\n",
"fault02 = Fault(5500, n_yrs=n_yrs)\n",
"fault03 = Fault(800, n_yrs=n_yrs)\n",
"fault04 = Fault(1750, n_yrs=n_yrs)\n",
"\n",
"fault01.other_faults = [fault02, fault03, fault04]\n",
"fault02.other_faults = [fault01, fault03, fault04]\n",
"fault03.other_faults = [fault01, fault02, fault04]\n",
"fault04.other_faults = [fault01, fault03, fault02]"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"for yr in yrs:\n",
" fault01.nonlinear_advance(yr)\n",
" fault02.nonlinear_advance(yr)\n",
" fault03.nonlinear_advance(yr)\n",
" fault04.nonlinear_advance(yr)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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rm+dWttZuTfLW8eHLp9rMPf79sd5cm81J3j3u71eXee4AANCNmQX5qto/ySlJ3tVau2I7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\nkrPGh4dNbDoqyd5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"text/plain": [
"<matplotlib.figure.Figure at 0x7f4885784a20>"
]
},
"metadata": {
"image/png": {
"height": 250,
"width": 377
}
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(np.diff(np.sort(fault01.eq_list + fault02.eq_list + fault03.eq_list + fault04.eq_list)), bins=25)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"This is the most clustered yet, despite the large range of recurrence intervals present."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary\n",
"\n",
"The simple numerical experiments we've done illustrate a few important things:\n",
"1. *Very small perturbations to faults can cause earthquake clusters*. This means that we can't rule out Coulomb stress changes as a cause, despite their miniscule magnitude.\n",
"1. *Earthquake clustering is inconsistent with linear stress reloading on faults.* This means that elastic, and therefore linear, models of fault systems will fail to capture important fault interactions. The exact source of nonlinearity (i.e. time or phase dependence of some sort) is still unclear, although viscoelastic relaxation in the lower crust and upper mantle is a likely candidate. Modeling these systems is quite challenging, but needs to be done.\n",
"2. *Even faults with very different slip rates can still sometimes rupture synchronously.* Clusters are ubiquitous but not the rule in instrumental and paleoseismic datasets. Very different faults can, and do, talk to each other but it takes very similar faults to march completely in step.\n",
"3. *More faults in a region means more clustered seismicity.* This is a big one especially for hazard analysis--the potential for ongoing seismicity in an area, even with very slow faults, is quite high after an earthquake.\n",
"\n",
"These results are quite encouraging, demonstrating that we can reproduce important seismic phenomena with some simple models, and we can home in on the important factors (nonlinear reloading) and ignore others (recurrence interval discrepancies, the small magnitude of Coulomb stress changes) in continued work on fault interaction and clustering.\n",
"\n",
"As time permits, I will add more and more realistic physics and geology to see how the story plays out. Stay tuned!"
]
}
],
"metadata": {
"anaconda-cloud": {},
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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