# gmKriger
<b>gmKriger</b>: A Kriging-based ground motion intensity measure (GMIM) calculator. <b>gmKriger</b> computes GMIMs for past earthquake events given a site's location (latitude and longitude) and the site's Vs30. gmKriger uses Ordinary Kriging interpolation and the spatial correlation models functional forms proposed by Bodenmann et al. (2023) developed using a Bayesian approach and ground motion data.
## Installation
Need the following packages:
```Python
pip install nvector
pip install torch
pip install geopy
pip install shapely
pip install nvector
pip install geostats
pip install gmms
pip install pygmm
pip install gmKriger
```
## How to use
### Inputs
<b>site:</b><br>Site ID(s) or site name(s).<br><br>
<b>latitude:</b><br>Site's latitude(s).<br><br>
<b>longitude:</b><br>Site's longitude(s).<br><br>
<b>Vs30:</b><br>Time-average shear-wave velocity in the top 30 m for the site(s).<br><br>
<b>earthquake:</b><br>Event from the available models (e.g., '1989 M6.9 Loma Prieta').<br><br>
<b>model:</b><br>
- ***realizations:*** To use 1000 spatial correlation models.<br>
- ***MAP:*** To use the maximum a posteriori spatial correlation model.<br>
- ***all:*** To use all the 1000 and the maximum a posteriori spatial correlation models.<br>
<b>gmim:</b><br>Ground motion intensity measure from the available models (e.g., 'PGA').
### Run
```Python
import gmKriger
site = ['Alameda Naval Air Station', 'Treasure Island', 'Alameda Bay Farm Island', 'Farris Farm', 'POO7']
latitude = [37.785748,37.8261394,37.73380567,36.91026828,37.805242]
longitude = [-122.309346,-122.3712351,-122.250101,-121.7437891,-122.339702]
Vs30 = [186.2,181.1,230.7,209.5,223]
earthquake = '1989 M6.9 Loma Prieta'
model = 'realizations'
gmim = 'PGA'
gmKriger.get_Kgmim(site,latitude,longitude,Vs30,earthquake,model,gmim)
```
| Site | Lat (deg) | Lon (deg) | PGA (g) | sigma_PGA (ln) |
|:--------------------------|------------:|------------:|----------:|-----------------:|
| Alameda Naval Air Station | 37.7857 | -122.309 | 0.189312 | 0.386172 |
| Treasure Island | 37.8261 | -122.371 | 0.135361 | 0.273654 |
| Alameda Bay Farm Island | 37.7338 | -122.250 | 0.151978 | 0.429026 |
| Farris Farm | 36.9103 | -121.744 | 0.458404 | 0.494209 |
| POO7 | 37.8052 | -122.339 | 0.154422 | 0.350264 |
<br>Run this example using this code: [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_1.ipynb).
## Models available
Get them using [this code](https://github.com/RPretellD/gmKriger/blob/main/Examples/Get_models.ipynb).
The spatial correlation models for the events and ground motion intensity measures below are accessible via [DesignSafe](https://www.designsafe-ci.org/data/browser/public/designsafe.storage.published/PRJ-4022v2) (Pretell et al. 2023).
| Earthquake | PGA | PGV | Ia | CAV | CAVdp | PSA(0.100) | PSA(0.300) | PSA(0.600) | PSA(1.000) | PSA(3.000) | PSA(6.000) | PSA(10.000) |
|--------------------------------|----------|----------|----------|----------|----------|------------|------------|------------|------------|------------|------------|-------------|
| 1968 M8.2 Tokachi-Oki | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 1971 M6.6 San Fernando | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1978 M7.7 Miyagiken-Oki | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 1979 M6.5 Imperial Valley | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1980 M6.3 Victoria | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1981 M5.9 Westmorland | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1983 M7.7 Nihonkai-Chubu | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 1983 M6.8 Nihonkai-Chubu | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 1987 M6.5 Superstition Hills | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1989 M6.9 Loma Prieta | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1993 M7.6 Kushiro-Oki Hokkaido | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 1994 M6.7 Northridge | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1994 M8.3 Toho-Oki Hokkaido | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 1995 M6.9 Kobe | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1999 M7.5 Kocaeli | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 1999 M7.6 Chi-Chi | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2000 M6.6 Tottori | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2002 M5.0 Au Sable Forks | No | No | No | No | No | No | No | No | No | No | No | No |
| 2003 M8.3 Tokachi | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 2007 M6.8 Chuetsu-oki | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2010 M7.2 El Mayor-Cucapah | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2010 M7.0 Darfield | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2010 M8.8 Maule | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 2011 M6.2 Christchurch | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2011 M5.0 Christchurch | Yes | No | No | No | No | No | No | No | No | No | No | No |
| 2011 M6.0 Christchurch | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2011 M5.9 Lyttleton | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2011 M9.1 Tohoku-Oki | No | No | Yes | Yes | No | No | No | No | No | No | No | No |
| 2012 M6.1 Emilia | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2012 M6.0 Emilia | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2019 M7.06 Ridgecrest | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2019 M6.48 Ridgecrest | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2020 M7.0 Samos | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |
| 2023 M7.81 Pazarcik | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 2023 M7.74 Kahramanmaras | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 2023 M6.81 Nurdagi | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| 2023 M6.37 Yayladagi | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
## Ground motion intensity measures (GMIMs) and units
| GMIM | Key | Unit |
|---------------------------------------|-------------|------|
| Peak ground aceleration | PGA | g |
| Peak ground velocity | PGV | cm/s |
| Arias intensity | Ia | m/s |
| Cumulative absolute velocity | CAV | m/s |
| Damage-potential CAV | CAVdp | g-s |
| Pseudo-spectral acceleration @ 0.1 s | PSA(0.100) | g |
| Pseudo-spectral acceleration @ 0.3 s | PSA(0.300) | g |
| Pseudo-spectral acceleration @ 0.6 s | PSA(0.600) | g |
| Pseudo-spectral acceleration @ 1.0 s | PSA(1.000) | g |
| Pseudo-spectral acceleration @ 3.0 s | PSA(3.000) | g |
| Pseudo-spectral acceleration @ 6.0 s | PSA(6.000) | g |
| Pseudo-spectral acceleration @ 10.0 s | PSA(10.000) | g |
## Examples
- <b>Example 1:</b> Compute PGA for the 1989 Loma Prieta Earthquake using all the 1000 spatial correlation models. [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_1.ipynb).
- <b>Example 2:</b> Compute several ground motion intensity measures for the 2023 M7.8 Pazarcik Earthquake using the maximum aposteriori spatial correlation model. [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_2.ipynb).
- <b>Example 3:</b> Compute several ground motion intensity measures for the 1987 M6.5 Superstition Hills Earthquake all the 1000 and the maximum aposteriori spatial correlation model. [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_3.ipynb).
## Acknowledgements
- The implementation of gmKriger greatly benefitted from discussions with Scott J. Brandenberg and Jonathan P. Stewart.
## Citation
If you use these codes, please cite:<br>
> Pretell, R. (2023). RPretellD/gmKriger: Initial release (0.2.0). Zenodo. https://doi.org/10.5281/zenodo.10399419<br>
> Pretell, R., Brandenberg, S.J., and Stewart, J.P. "Optimizing ground motion intensity measures for soil liquefaction case histories." (In preparation).
> Pretell, R., Brandenberg, S., and Stewart, J. (2023) "Consistently computed ground motion intensity measures for liquefaction triggering assessment." DesignSafe-CI. https://doi.org/10.17603/ds2-6vj1-t096 v2
[](https://zenodo.org/doi/10.5281/zenodo.10399418)
## Contact
For any questions or comments, contact Renmin Pretell at rpretell@unr.edu.
Raw data
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"description": "# gmKriger\r\n\r\n<b>gmKriger</b>: A Kriging-based ground motion intensity measure (GMIM) calculator. <b>gmKriger</b> computes GMIMs for past earthquake events given a site's location (latitude and longitude) and the site's Vs30. gmKriger uses Ordinary Kriging interpolation and the spatial correlation models functional forms proposed by Bodenmann et al. (2023) developed using a Bayesian approach and ground motion data. \r\n\r\n\r\n## Installation\r\n\r\nNeed the following packages:\r\n```Python\r\npip install nvector\r\npip install torch\r\npip install geopy\r\npip install shapely\r\npip install nvector\r\n\r\npip install geostats\r\npip install gmms\r\npip install pygmm\r\npip install gmKriger\r\n```\r\n\r\n\r\n## How to use\r\n\r\n### Inputs\r\n<b>site:</b><br>Site ID(s) or site name(s).<br><br>\r\n<b>latitude:</b><br>Site's latitude(s).<br><br>\r\n<b>longitude:</b><br>Site's longitude(s).<br><br>\r\n<b>Vs30:</b><br>Time-average shear-wave velocity in the top 30 m for the site(s).<br><br>\r\n<b>earthquake:</b><br>Event from the available models (e.g., '1989 M6.9 Loma Prieta').<br><br>\r\n<b>model:</b><br>\r\n- ***realizations:*** To use 1000 spatial correlation models.<br>\r\n- ***MAP:*** To use the maximum a posteriori spatial correlation model.<br>\r\n- ***all:*** To use all the 1000 and the maximum a posteriori spatial correlation models.<br>\r\n\r\n<b>gmim:</b><br>Ground motion intensity measure from the available models (e.g., 'PGA').\r\n\r\n\r\n### Run\r\n```Python\r\nimport gmKriger\r\n\r\nsite = ['Alameda Naval Air Station', 'Treasure Island', 'Alameda Bay Farm Island', 'Farris Farm', 'POO7']\r\nlatitude = [37.785748,37.8261394,37.73380567,36.91026828,37.805242]\r\nlongitude = [-122.309346,-122.3712351,-122.250101,-121.7437891,-122.339702]\r\nVs30 = [186.2,181.1,230.7,209.5,223]\r\n\r\nearthquake = '1989 M6.9 Loma Prieta'\r\nmodel = 'realizations'\r\ngmim = 'PGA'\r\n\r\ngmKriger.get_Kgmim(site,latitude,longitude,Vs30,earthquake,model,gmim)\r\n```\r\n| Site | Lat (deg) | Lon (deg) | PGA (g) | sigma_PGA (ln) |\r\n|:--------------------------|------------:|------------:|----------:|-----------------:|\r\n| Alameda Naval Air Station | 37.7857 | -122.309 | 0.189312 | 0.386172 |\r\n| Treasure Island | 37.8261 | -122.371 | 0.135361 | 0.273654 |\r\n| Alameda Bay Farm Island | 37.7338 | -122.250 | 0.151978 | 0.429026 |\r\n| Farris Farm | 36.9103 | -121.744 | 0.458404 | 0.494209 |\r\n| POO7 | 37.8052 | -122.339 | 0.154422 | 0.350264 |\r\n\r\n<br>Run this example using this code: [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_1.ipynb).\r\n\r\n\r\n## Models available\r\n\r\nGet them using [this code](https://github.com/RPretellD/gmKriger/blob/main/Examples/Get_models.ipynb).\r\n\r\nThe spatial correlation models for the events and ground motion intensity measures below are accessible via [DesignSafe](https://www.designsafe-ci.org/data/browser/public/designsafe.storage.published/PRJ-4022v2) (Pretell et al. 2023).\r\n\r\n| Earthquake | PGA | PGV | Ia | CAV | CAVdp | PSA(0.100) | PSA(0.300) | PSA(0.600) | PSA(1.000) | PSA(3.000) | PSA(6.000) | PSA(10.000) |\r\n|--------------------------------|----------|----------|----------|----------|----------|------------|------------|------------|------------|------------|------------|-------------|\r\n| 1968 M8.2 Tokachi-Oki | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1971 M6.6 San Fernando | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1978 M7.7 Miyagiken-Oki | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1979 M6.5 Imperial Valley | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1980 M6.3 Victoria | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1981 M5.9 Westmorland | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1983 M7.7 Nihonkai-Chubu | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1983 M6.8 Nihonkai-Chubu | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1987 M6.5 Superstition Hills | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1989 M6.9 Loma Prieta | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1993 M7.6 Kushiro-Oki Hokkaido | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1994 M6.7 Northridge | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1994 M8.3 Toho-Oki Hokkaido | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1995 M6.9 Kobe | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1999 M7.5 Kocaeli | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 1999 M7.6 Chi-Chi | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2000 M6.6 Tottori | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2002 M5.0 Au Sable Forks | No | No | No | No | No | No | No | No | No | No | No | No |\r\n| 2003 M8.3 Tokachi | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2007 M6.8 Chuetsu-oki | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2010 M7.2 El Mayor-Cucapah | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2010 M7.0 Darfield | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2010 M8.8 Maule | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2011 M6.2 Christchurch | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2011 M5.0 Christchurch | Yes | No | No | No | No | No | No | No | No | No | No | No |\r\n| 2011 M6.0 Christchurch | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2011 M5.9 Lyttleton | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2011 M9.1 Tohoku-Oki | No | No | Yes | Yes | No | No | No | No | No | No | No | No |\t\r\n| 2012 M6.1 Emilia | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2012 M6.0 Emilia | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2019 M7.06 Ridgecrest | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2019 M6.48 Ridgecrest | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2020 M7.0 Samos | Yes | Yes | Yes | Yes | No | No | No | No | No | No | No | No |\r\n| 2023 M7.81 Pazarcik | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |\r\n| 2023 M7.74 Kahramanmaras | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |\r\n| 2023 M6.81 Nurdagi | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |\r\n| 2023 M6.37 Yayladagi | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |\r\n\r\n\r\n## Ground motion intensity measures (GMIMs) and units\r\n\r\n| GMIM | Key | Unit |\r\n|---------------------------------------|-------------|------|\r\n| Peak ground aceleration | PGA | g |\r\n| Peak ground velocity | PGV | cm/s |\r\n| Arias intensity | Ia | m/s |\r\n| Cumulative absolute velocity | CAV | m/s |\r\n| Damage-potential CAV | CAVdp | g-s |\r\n| Pseudo-spectral acceleration @ 0.1 s | PSA(0.100) | g |\r\n| Pseudo-spectral acceleration @ 0.3 s | PSA(0.300) | g |\r\n| Pseudo-spectral acceleration @ 0.6 s | PSA(0.600) | g |\r\n| Pseudo-spectral acceleration @ 1.0 s | PSA(1.000) | g |\r\n| Pseudo-spectral acceleration @ 3.0 s | PSA(3.000) | g |\r\n| Pseudo-spectral acceleration @ 6.0 s | PSA(6.000) | g |\r\n| Pseudo-spectral acceleration @ 10.0 s | PSA(10.000) | g |\r\n\r\n\r\n## Examples\r\n- <b>Example 1:</b> Compute PGA for the 1989 Loma Prieta Earthquake using all the 1000 spatial correlation models. [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_1.ipynb).\r\n- <b>Example 2:</b> Compute several ground motion intensity measures for the 2023 M7.8 Pazarcik Earthquake using the maximum aposteriori spatial correlation model. [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_2.ipynb).\r\n- <b>Example 3:</b> Compute several ground motion intensity measures for the 1987 M6.5 Superstition Hills Earthquake all the 1000 and the maximum aposteriori spatial correlation model. [here](https://github.com/RPretellD/gmKriger/blob/main/Examples/Example_3.ipynb).\r\n\r\n\r\n## Acknowledgements\r\n- The implementation of gmKriger greatly benefitted from discussions with Scott J. Brandenberg and Jonathan P. Stewart.\r\n\r\n\r\n## Citation\r\nIf you use these codes, please cite:<br>\r\n\r\n> Pretell, R. (2023). RPretellD/gmKriger: Initial release (0.2.0). Zenodo. https://doi.org/10.5281/zenodo.10399419<br>\r\n\r\n> Pretell, R., Brandenberg, S.J., and Stewart, J.P. \"Optimizing ground motion intensity measures for soil liquefaction case histories.\" (In preparation). \r\n\r\n> Pretell, R., Brandenberg, S., and Stewart, J. (2023) \"Consistently computed ground motion intensity measures for liquefaction triggering assessment.\" DesignSafe-CI. https://doi.org/10.17603/ds2-6vj1-t096 v2\r\n\r\n[](https://zenodo.org/doi/10.5281/zenodo.10399418)\r\n\r\n\r\n## Contact\r\nFor any questions or comments, contact Renmin Pretell at rpretell@unr.edu.\r\n",
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