Deep beneath the surface of a Belgian forest, a silver-colored sphere of niobium metal floats in a vacuum that is only slightly warmer than the temperature in outer space, suspended by a magnetic field that exactly balances the force of Earth’s gravity. Small fluctuations in the gravitational field pull and tug on the sphere, shifting its position ever so slightly, perturbing the magnetic field and sending electrical signals to nearby sensors.
This has been going on for the past 22 years—a new world record for the longest continuous gravitational measurement in the same location using this type of instrument. What’s more, it’s also the longest levitation of a superconducting mass.
The niobium sphere, about the size of a ping-pong ball, is encased in a metal cylinder, which in turn is attached to vacuum lines and a tank of liquid helium that serves as a refrigerant. As long as the temperature inside the container is kept below 9.2 K, niobium’s superconducting transition temperature, magnetic field lines flow around, rather than through, the sphere, keeping it suspended in the center of its little chamber. Niobium wire coils, also kept at this low temperature, offer no resistance to the electrical current that flows through them, producing the perfectly stable magnetic field that levitates the niobium sphere.
This otherworldly setup is the basis of an instrument called a superconducting gravimeter (SG). The SG measures fluctuations in Earth’s gravitational field with a sensitivity far greater than previously possible using older instruments, which used reference weights attached to mechanical springs. For more than 2 decades, the SG in Belgium has faithfully recorded mass shifts caused by groundwater movements, the weight of storm surge water on the surface, and other phenomena that affect the nearby gravitational field [Van Camp et al., 2017].
A Record for Longevity
Last September, the SG C021, an instrument located at the Membach seismological station in eastern Belgium, set records for the longest continuous time spent measuring gravity variations using a single SG in the same place, as well as the longest superconducting levitation of an artifact (Figure 1). On 18 September 2017, this instrument, which began operation 4 August 1995, had monitored gravity changes continuously for 8,081 days—22 years and 45 days. The previous record (8,080 days) was held by the SG T020, which measured at the Metsähovi station, Finland, from 10 August 1994 to 23 September 2016.
The SG measurement principle is based on monitoring the levitation of a 4-gram superconducting niobium sphere. As far as we know, no object has ever been levitated for such a long time. In 1995, currents were injected into the superconducting coils, causing the sphere to levitate. More than 22 years later, the currents persist. This isn’t new physics—in theory, a superconducting current can flow forever—but it is at least worthy of a place in the “cabinet of curiosities” of solid-state physics.
Relative and Absolute Measurements
Best practices in the science of gravity measurement require maintaining reference stations where gravity is monitored continuously for the long term. Operating high-quality observatory stations such as Membach at the state of the art has given scientists a thorough knowledge of the instrument. The resulting excellent measurements have proven useful in retrieving elusive geophysical and geodetic signals.
On average, one absolute gravity measurement is performed every month at the Membach station to complement the SG data, which measure changes in gravity. Absolute gravity is measured by repeatedly dropping a test mass inside a vacuum chamber and tracking its free fall using a laser interferometer.
These numerous absolute data points, combined with data from the SG, enabled the study of the uncertainties associated with the setup of an absolute gravimeter (AG) [Van Camp et al., 2005].
The SG provides voltage variations (caused by the movement of the sphere), which are then calibrated into an acceleration expressed in nanometers per square second (nm/s²) or microgals (1 µGal = 10 nm/s², or one billionth of the standard gravitational acceleration g). In 1996, Membach scientists compared data from the SG C021 with an FG5 ballistic AG, determining the calibration factor at the parts per thousand level [Francis, 1997]. This precision is required to assess solid Earth tidal models, which simulate the Moon’s and Sun’s gravitational effects on the solid parts of Earth.
Signal Drift or Geophysical Trend?
The gravimeter’s sensitivity to signals is defined using a mathematical transfer function, which can be experimentally determined from the size of the sensor’s response to specific signals of known strength. The first determination of an SG transfer function was performed in Membach [Van Camp et al., 2000]. SGs drift by a few billionths of g per year. We determined this tiny drift by comparing the SG C021 to the frequent AG measurements [Francis, 1997].
We had originally assumed that the SG instrumental drift was linear; even then, we could separate the instrumental drift from actual geophysical trends. Later, when more AG and SG data became available, Van Camp and Francis  found a nonlinear, exponentially decreasing drift of the SG, most likely caused by the aging capacitance bridge, magnetic variations, gas adsorption onto the surface of the levitating sphere (which floats in a small amount of residual helium), and/or helium gas pressure variations within the sensing unit, which is kept immersed in liquid helium.
From Evaporating Dew to Earthquakes and Storm Surges
Long-term fluctuations in gravity records remain poorly understood (Figure 2) despite their importance for geodesists. Long-period gravity changes are most likely induced by climatic or hydrogeological variations. Membach was one of the first SG sites where a comprehensive hydrogeological investigation could clearly show and quantify the influence of changes in groundwater within the unsaturated zone [Van Camp et al., 2006]. The effect is about 50 nm/s² (5 × 10−9 g) over the course of a year.
Using rainfall modeling at the Vienna and Membach stations, Meurers et al.  improved solid Earth tidal analysis by 10%. The Membach SG is also able to measure the diurnal evapotranspiration from the deciduous forest above the station: Van Camp et al.  identified average daily changes in gravity smaller than 1 nm/s² (10−10 g), equivalent to a depletion of 1.7 millimeters of water per sunny summer day, which is at the limit of the resolution of terrestrial gravity measurements in the time domain.
On the large end of the scale, after a large earthquake, seismic waves interfere and cause Earth to ring like a bell at frequencies between 0.3 and 20 mHz. The spectra of Earth’s bell-like normal vibrational modes provide valuable information on the structure of the planet. SGs outperform the outstanding long-period STS-1 model seismometers at vibrational frequencies below 10 millihertz (mHz). For the lowest-frequency modes (below 1.5 mHz), correcting for atmospheric pressure effects can improve resolution still further. The Membach instrument could demonstrate that SGs could outperform the STS-1 seismometers [Van Camp, 1999]. In the same spirit of innovation, the SG C021 was the first to stream real-time data to the Incorporated Research Institutions for Seismology (IRIS) seismic data center [Van Camp et al., 2008].
Storm surges in the North Sea also affect local gravity by loading Earth’s crust, depressing it as much as a few centimeters along the coastlines. Instruments at the Membach station, 200 kilometers away from the coast, successfully measured an increase in gravity of about 20 nm/s² associated with one such storm [Fratepietro et al., 2006]. Such a wind-stressed effect was first observed along the Baltic Sea by an SG in Finland [Virtanen and Mäkinen, 2003]. In both cases, the phenomena were later confirmed using geodetic measurements from GPS.
Twenty-Two Years and Counting
Despite providing numerous results of time-varying gravity, the ever-young SG C021 is not willing to retire. Many scientific laboratories maintain an interest in the long-term monitoring of gravity. The staunch SG C021 is still contributing to numerous projects, including understanding long-period gravity variations and relative seismic velocity deviations caused by groundwater changes [see also Lecocq et al., 2017].
We are grateful to the editor, two anonymous reviewers, O. de Viron, M. Hendricks, and A. Watlet for fruitful comments; to the staff of the Royal Observatory of Belgium and Air Products for their ongoing support; and to the researchers for using the data from Membach, ensuring a broad diffusion of the know-how of the SG C021. We thank J. Hale of the University of Luxembourg for reading and correcting the draft. The SG (made by GWR Instruments) was bought using a grant from the Belgian National Lottery. We also thank Etienne Coveliers for taking the photographs of the superconducting gravimeter and the Membach underground station for this article.
Francis, O. (1997), Calibration of the C021 superconducting gravimeter in Membach (Belgium) using 47 days of absolute gravity measurements, in Gravity, Geoid and Marine Geodesy, Int. Assoc. Geod. Symp., vol. 117, edited by J. Segawa, H. Fujimoto, and S. Okubo, pp. 212–219, Springer, Berlin.
Fratepietro, F., T. F. Baker, S. D. P. Williams, and M. Van Camp (2006), Ocean loading deformations caused by storm surges on the northwest European shelf, Geophys. Res. Lett., 33, L06317, https://doi.org/10.1029/2005GL025475.
Lecocq, T., et al. (2017), Monitoring ground water storage at mesoscale using seismic noise: 30 years of continuous observation and thermo-elastic and hydrological modeling, Sci. Rep., 7(1), 14241, https://doi.org/10.1038/s41598-017-14468-9.
Meurers, B., M. Van Camp, and T. Petermans (2007), Correcting superconducting gravity time-series using rainfall modelling at the Vienna and Membach stations and application to Earth tide analysis, J. Geod., 81(11), 703–712, https://doi.org/10.1029/2005GL025475.
Van Camp, M. (1999), Measuring seismic normal modes with the GWR C021 superconducting gravimeter, Phys. Earth Planet. Inter., 116(1–4), 81–92, https://doi.org/10.1016/S0031-9201(99)00120-X.
Van Camp, M., and O. Francis (2007), Is the instrumental drift of superconducting gravimeters a linear or exponential function of time?, J. Geod., 81(5), 337–344, https://doi.org/10.1007/s00190-006-0110-4.
Van Camp, M., et al. (2000), Accurate transfer function determination for superconducting gravimeters, Geophys. Res. Lett., 27(1), 37–40, https://doi.org/10.1029/1999GL010495.
Van Camp, M., S. D. P. Williams, and O. Francis (2005), Uncertainty of absolute gravity measurements, J. Geophys. Res., 110, B05406, https://doi.org/10.1029/2004JB003497.
Van Camp, M., et al. (2006), Hydrogeological investigations at the Membach station, Belgium, and application to correct long periodic gravity variations, J. Geophys. Res., 111, B10403, https://doi.org/10.1029/2006JB004405.
Van Camp, M., et al. (2008), Connecting a Quanterra data logger Q330 on the GWR C021 superconducting gravimeter, Seismol. Res. Lett., 79(6), 785–796, https://doi.org/10.1785/gssrl.79.6.785.
Van Camp, M., et al. (2016), Direct measurement of evapotranspiration from a forest using a superconducting gravimeter, Geophys. Res. Lett., 43(19), 10,225–10,231, https://doi.org/10.1002/2016GL070534.
Van Camp, M., et al. (2017), Geophysics from terrestrial time-variable gravity measurements, Rev. Geophys., 55, https://doi.org/10.1002/2017RG000566.
Virtanen, H., and J. Mäkinen (2003), The effect of the Baltic Sea level on gravity at the Metsähovi station, J. Geodyn., 35(4–5), 553–565, https://doi.org/10.1016/S0264-3707(03)00014-0.
Michel Van Camp (email: email@example.com), Seismology-Gravimetry Directorate, Royal Observatory of Belgium, Brussels; Olivier Francis, Geophysics Laboratory, University of Luxembourg, Luxembourg; and Thomas Lecocq, Seismology-Gravimetry Directorate, Royal Observatory of Belgium, Brussels
Correction, 2 January 2018: An earlier version of this article incorrectly stated the effects of groundwater above the superconducting gravimeter on the gravitational field recorded by this instrument. This has been corrected.
Van Camp, M.,Francis, O., and Lecocq, T. (2017), Recording Belgium’s gravitational history, Eos, 98, https://doi.org/10.1029/2017EO089743. Published on 29 December 2017.
Text © 2017. The authors. CC BY-NC-ND 3.0
Except where otherwise noted, images are subject to copyright. Any reuse without express permission from the copyright owner is prohibited.