Depending on the user needs, it may make sense to use a central software platform to acquire and process the data from various seismic equipment. Earthworm and SeisComP are the two most popular open-source software packages out there. Antelope is a popular paid solution. Additionally, the larger seismic equipment manufacturers generally have their own software solutions. However, the software solutions created by the various equipment manufacturers may only be compatible with equipment made by the manufacturer. See the manufacturers website for details.
Earthworm (https://gitlab.com/seismic-software/earthworm/)
Earthworm is a free, open-source, modular, and extensible waveform and automatic earthquake processing software package written primarily in the C language. Originally developed by the United States Geological Survey (USGS), Earthworm has been an open-source project since 1993, with contributors from all over the world.
SeisComP (seiscomp.de)
SeisComP is seismological software for data acquisition, processing, distribution and interactive analysis that has been developed by the GEOFON Program at Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences and gempa GmbH.
Antelope (https://kinemetrics.com/post_products/antelope/)
The Antelope mission-critical data acquisition and processing software is used by the 10 largest seismic networks in the world (outside of Japan), being 100% commercially owned and supported by BRTT, Inc., a Kinemetrics strategic partner.