Every day there are tens of earthquakes causing small to severe ground shaking. Only a few of these can be felt immediately by people in the vicinity of the epicenter. Many more earthquakes can be located only using a sensitive, global, network of instruments.
Here we describe how earthquakes are located by our instruments and quantified here at GEOFON.
When an earthquake ruptures it radiates seismic energy in the form of seismic waves. These waves propagate away from the earthquake source at wave speeds that depend on the mechanical properties of the rocks that the seismic waves travel through. If the earthquake and hence the energy of the seismic waves is large enough, the waves may be registered as a signal at a distant seismic sensor.
Since earthquake waves travel at a finite speed the signals are recorded at seismic stations with a delay, which depends on the wave type and the path the wave has travelled. Compressional waves, so-called P waves, are the fastest and travel with speeds ranging from about 6 km/s in the Earth's crust to up to about 14 km/s in the mantle. P waves are the signals most commonly used in earthquake location.
The distribution of the seismic wave speeds is relatively well known for most parts of the Earth, allowing a prediction of the arrival time for any point on Earth for any earthquake hypocenter and time. By measuring the arrival times at many stations and comparing these with the times predicted for certain hypocenter locations and times, the latter can be estimated quite accurately. This is the principle of earthquake location.
Using sensitive modern digital broadband seismometers deployed at seismic stations, recording the ground motion continuously, seismic waves radiated from earthquakes can be detected anywhere on Earth, provided the earthquake signal amplitude is sufficiently above the background noise. As a rule of thumb, earthquakes above a magnitude of about 5, sometimes a bit less, can be recorded at quiet sites world-wide. Smaller earthquakes are normally recorded at shorter distances only. For instance a magnitude 3 earthquake in Central Europe is usually well recorded up to distances of about 100-200 km.
We use the SeisComP open source observatory software for most of the tasks, from data acquisition to automatic and manual picking and earthquake location, described in the following in more detail.
Before the arrival times of seismic phases can be measured, the waveform data must reach the GEOFON data center at Potsdam. Nowadays, real-time data telemetry is standard for permanent seismic stations. Often stations are installed in very remote areas, where there is no other means than satellite connection. In other places, permanent internet connections, or mobile phone networks, can be used. To keep operating costs to a minimum, GEOFON stations are connected to the GEOFON data center by the technology that provides the best reliability at the lowest possible cost. At stations within Europe where the infrastructure is excellent, costly satellite telemetry can mostly be avoided. In contrast, in the Indian Ocean region, VSAT is often the only option, not only because of the lack of land-based alternatives, but also because data must remain available immediately after major earthquakes, when Internet connections or mobile phone lines may have failed. Often a combination of VSAT and terrestrial Internet connections are used: VSAT connects the remote station site to a regional satellite hub, from where the data are streamed through terrestrial Internet connections to Potsdam. A protocol called SeedLink, developed by our group in 2001, is used to cope with the diversity of possible data transport links [1] .
In addition to the approximately 80 stations currently active in its own network, GEOFON acquires data from selected open and partner networks, which are included in our processing. This increases the number of stations available in real time to form a virtual network of over 1000 stations and ensures good global coverage with stations. Even at times when some stations or even whole networks are unavailable due to technical problems, there are always enough stations providing data to allow reliable earthquake monitoring.
Once the data arrive at the GEOFON data center they are analyzed in real time. At the same time, they are archived permanently and made available to the scientific community. At the first stage, seismic arrivals [?] must be detected and timed [2] . By comparing the short-term average amplitude to the long-term average amplitude, sudden amplitude increases can be detected quite reliably. The time of the onset of the amplitude increase is then taken as the arrival time of the seismic phase. This procedure is normally referred to as "phase picking". P waves are the fastest seismic waves and usually provide the best defined onset times, so normally the vertical component of ground motion is used for phase picking, where the P wave can be observed best. The continuously flowing waveform data produces frequent phase picks with as many as hundreds of candidate picks per hour at some stations. The vast majority of these picks do not correspond to seismic phase onsets i.e. actual earthquakes, but represent noise generated by human activities (e.g., mining, traffic) or weather phenomena (e.g., thunderstorms). It is important to prevent these from being misinterpreted as seismic phase onsets. The software that analyses the phase picks in real time has to recognize picks corresponding to the same event while at the same time it has to keep the wrong picks out of the solution. The more picks are available for a given seismic event, the better this distinction will work, because questionable or inconsistent picks can be identified more easily.
Internally an earthquake is often located within a few minutes of its occurrence; we use the IASP91 earth model (see Kennett and Engdahl (1991)) for location. Much of the delay is due to the time for seismic waves to reach enough stations to form a rough initial location. As more picks are received from stations further away from the epicenter, the initial location is refined. In parallel to locating the earthquake, amplitudes are measured, which are then used to compute the magnitude of the event. Once a certain publication threshold is reached, usually defined by the number of picks contributing to the location, the information on the earthquake is published. As the automatic analysis continues, updated solutions---both in terms of location and magnitude---are provided immediately on the GEOFON earthquake bulletin web site, through FDSN web services (API access), and the RSS feed. Other dissemination channels (email, Telegram, our Forum) are slightly delayed in order to ensure that more accurate solutions are sent out, as some, e.g. email, are only sent once, even if the estimated magnitude is subsequently adjusted. The GEOFON publication criteria are chosen to ensure a reasonable quality of the solution, but it is recommended to check the GEOFON earthquake bulletin website for the latest updates.
Moment tensors are computed by iteratively fitting filtered waveforms with synthetic seismograms. The period range is usually between 40 and 600 s, depending on the magnitude of the event. Only stations up to 10000 km are used. A delta spike is assumed as the source-time function and no full centroid search is performed. Derived parameters include the deviatoric moment tensor elements and depth. However, depending on the station geometry and noise, the depth can be poorly resolved. In that case a depth determination is attempted using depth phases, which are waves reflected at the Earth's surface near the earthquake and recorded like an echo [?]. Depth phases often allow the most accurate depth determination.
Up to this point in the processing chain, the analysis and publication is fully automatic. This ensures that within a short time after an important earthquake, the main parameters epicenter location, depth and magnitude are made available on the GEOFON website day and night, seven days a week. Automatic solutions, however, are subject to uncertainties. One parameter which is often difficult to determine with good accuracy is the focal depth. Especially for shallow earthquakes where a difference of 10 km in depth might make a big difference in terms of expected damage. For major or significant events, revision of the aoutmatic solutions by an experienced analyst can substantially improve accuracy. This involves hand-picking the depth phases when they are available. At GEOFON this is not done around the clock, and many smaller events are never reviewed. We are actively exploring use of automated pickers using machine learning techniques to improve the situation.
This protocol has become a de facto standard for reliable data transmission from the stations to the data centers but also amongst data centers. Data transmission is very fast, with delays typically in the range of 5-30 seconds. ^1
General knowledge FAQ on earthquakes and earthquake analysis: https://www.eskp.de/en/basic-knowledge/natural-hazards/questions-and-answers-on-the-subject-of-earthquakes/. Auf Deutsch: https://www.eskp.de/grundlagen/naturgefahren/fragen-und-antworten-zum-thema-erdbeben-935251/
Kennett, B. L. N. and Engdahl, E. R. (1991). Traveltimes for global earthquake location and phase identification, Geophys. J. Int. 105, 429-465. DOI:10.1111/j.1365-246X.1991.tb06724.x