hvsrpy - A Python package for horizontal-to-vertical spectral ratio processing

Joseph P. Vantassel, jpvantassel.com

Table of Contents

• About hvsrpy
• Why use hvsrpy
• A Comparison of hvsrpy with Geopsy
• Getting Started
• Additional Comparisons between hvsrpy and Geopsy
  • Multiple Windows
  • Single Window

About hvsrpy

hvsrpy is an open-source Python package for performing horizontal-to-vertical spectral ratio (HVSR) processing of microtremor and earthquake recordings. hvsrpy was developed by Joseph P. Vantassel with contributions from Dana M. Brannon under the supervision of Professor Brady R. Cox at The University of Texas at Austin. hvsrpy continues to be developed and maintained by Joseph P. Vantassel and his research group at Virginia Tech.

Citation

If you use hvsrpy in your research or consulting, we ask you please cite the following:

Vantassel, J.P. (2025). "hvsrpy: An Open‐Source Python Package for Microtremor and Earthquake Horizontal‐to‐Vertical Spectral Ratio Processing". Seismological Research Letters. 96 (4): 2671–2682, https://doi.org/10.1785/0220240395

Joseph Vantassel. (2020). jpvantassel/hvsrpy: latest (Concept). Zenodo. http://doi.org/10.5281/zenodo.3666956

For software, version specific citations should be preferred to general concept citations. To generate a version specific citation for hvsrpy, please use the citation tool on the hvsrpy archive.

References to Implemented Work

hvsrpy implements the work of many others. We strongly encourage users to cite original work alongside hvsrpy. Below we list key features and their associated citation.

Lognormal statistics and fully-automated frequency-domain window-rejection algorithm.

Cox, B. R., Cheng, T., Vantassel, J. P., & Manuel, L. (2020). "A statistical representation and frequency-domain window-rejection algorithm for single-station HVSR measurements. Geophysical Journal International, 221(3), 2170–2183. https://doi.org/10.1093/gji/ggaa119

Statistical approach to incorporate azimuthal variability.

Cheng, T., Cox, B. R., Vantassel, J. P., and Manuel, L. (2020). "A statistical approach to account for azimuthal variability in single-station HVSR measurements." Geophysical Journal International, 223(2), 1040–1053. https://doi.org/10.1093/gji/ggaa342

Statistical approach to incorporate spatial variability.

Cheng, T., Hallal, M. M., Vantassel, J. P., and Cox, B. R., (2021). "Estimating Unbiased Statistics for Fundamental Site Frequency Using Spatially Distributed HVSR Measurements and Voronoi Tessellation. J. Geotech. Geoenviron. Eng. 147, 04021068. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002551

SESAME clarity and reliability criteria for microtremor HVSR.

SESAME. (2004). Guidelines for the Implementation of the H/V Spectral Ratio Technique on Ambient Vibrations Measurements, Processing, and Interpretation. European Commission - Research General Directorate, 62, European Commission - Research General Directorate.

Computation of HVSR under the diffuse field assumption.

Sánchez-Sesma, F.J., Rodríguez, M., Iturrarán-Viveros, U., Luzón, F., Campillo, M., Margerin, L., García-Jerez, A., Suarez, M., Santoyo, M.A., Rodríguez-Castellanos, A. (2011). A theory for microtremor H/V spectral ratio: application for a layered medium: Theory for microtremor H/V spectral ratio. Geophysical Journal International 186, 221–225. https://doi.org/10.1111/j.1365-246X.2011.05064.x

Power spectral density (PSD) calculation.

Welch, P., (1967). The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Transactions on audio and electroacoustics, 15(2), pp.70-73.

New high noise model (NHNM) and new low noise model (NLNM).

Peterson, J., (1993). Observation and Modeling of Seismic Background Noise (Open-File Report No. 93–322). U.S. Geologic Survey, Albuquerque, New Mexico.

hvsrpy would not exist without the help of many others. As a display of our gratitude, we thank them individually here.

Why use hvsrpy

hvsrpy contains features not currently available in any other commercial or open-source software, including:

• Support of a broad range of microtremor and earthquake data formats including: MiniSEED, SAF, MiniShark, SAC, GCF, and PEER.
• Multiple methods to combine the horizontal components including: arithmetic_mean, squared-average, quadratic-mean, geometric-mean, total-horizontal-energy, vector-summation, maximum-horizontal-value, rotD50, or single-azimuth.
• Ability to use a lognormal distribution for the site resonant frequency (fn) so the uncertainty in fn can be represented consistently in frequency and period.
• Direct access to the raw HVSR data from each time window and azimuth (i.e., not only the mean/median curve) through Python objects and cross-platform text-based output format.
• Calculate statistics on fn that incorporates azimuthal variability.
• Ability to develop rigorous and unbiased spatial statistics to combine spatially distributed HVSR measurements.
• Multiple automated window rejection algorithms including the frequency-domain window-rejection algorithm by Cox et al. (2020).
• Automated checking of the SESAME (2004) peak reliability and clarity criteria.
• A command line interface (CLI) for parallel batch-style processing using multiprocessing.

Example output from hvsrpy when considering the geometric-mean of the horizontal components

| | Lognormal Median | Lognormal Standard Deviation | |--------------------|------------------|------------------------------| | Site Frequency, fn | 0.67 | 0.09 | | Site Period, Tn | 1.50 | 0.09 |

Example output from hvsrpy when considering azimuthal variability

| | Lognormal Median | Lognormal Standard Deviation | |-----------------------|------------------|------------------------------| | Site Frequency, fn,az | 0.67 | 0.07 | | Site Period, Tn,az | 1.50 | 0.07 |

Example output from hvsrpy when considering spatial variability

| | Lognormal Median | Lognormal Standard Deviation | |-----------------------|------------------|------------------------------| | Site Frequency, fn,xy | 0.58 | 0.15 | | Site Period, Tn,xy | 1.74 | 0.15 |

A comparison of hvsrpy with Geopsy

Some of the functionality available in hvsrpy overlaps with the popular open-source software geopsy. Therefore, to encourage standardization, wherever their functionality coincides we have sought to ensure consistency. Two such comparisons are shown below. One for a single time window (top) and one for multiple time windows (bottom). Additional examples are provided at the end of this document. Additional examples and the code to reproduce all of the examples shown are provided in the gallery.

Getting Started

Installing or Upgrading hvsrpy

1. If you do not have Python 3.8 or later installed, you will need to do so. A detailed set of instructions can be found here.

2. If you have not installed hvsrpy previously, you can install it with pip via the command pip install hvsrpy. If you are not familiar with pip, a useful tutorial can be found here. If you have an earlier version and would like to upgrade to the latest version of hvsrpy use pip install hvsrpy --upgrade.

3. Confirm that hvsrpy has installed/updated successfully by examining the last few lines of the text displayed in the console.

Using hvsrpy

1. Download the contents of the examples directory to any location of your choice.

2. Launch the Jupyter notebook (example_mhvsr_traditional.ipynb) in the exam