Lecture 8b - GNSS and space-based radar techniques

GNSS (Global Navigation Satellite Systems)

  • Generic term for satellite navigation systems (e.g., GPS).
  • GPS (Global Positioning System) is a specific system, but the term is often used casually for all such systems.
  • All GNSS systems operate on the same principle: satellites orbiting overhead broadcast radio signals, which are received and processed by receivers on the ground to determine position.
  • GNSS is used in phones to collect location data by receiving signals from multiple satellites and calculating position.
  • Positioning is based on precise timing measurements of signals from multiple satellites to calculate distances.
  • If the distance between four satellites and receiver is known then receiver's 3D positional coordinates can be estimated.
  • Coordinates are derived in a global coordinate system (WGS 84) and then converted to a local projected coordinate system (units in meters).

GNSS Receivers

  • Consumer grade receivers (phones, car satnavs) have accuracy of ~10 meters.
  • Survey grade systems are used for geophysical measurements requiring centimeter-level accuracy.
  • Survey grade systems use pairs of receivers: a static local reference (base) and a mobile rover receiver.

Differential GNSS

  • Error source: Radio signal delays in the ionosphere affect timing measurements and distance calculations.
  • Two receivers mitigate this: assume similar delays for both base and rover.
  • Differential GNSS calculates the relative position of the rover with respect to base, canceling out most errors.
  • Base receiver is stationary, allowing accuracy to improve through averaging.
  • Accuracy of differential GNSS is about 20 millimeters.
  • Vertical coordinate accuracy is generally lower than horizontal due to satellite distribution.

Applications of Survey Grade GNSS

  • Measuring instrument/electrode positions for geophysical field surveys.
  • Modern systems can receive correction signals via mobile networks, eliminating the need for a base receiver.
  • Creating topographic models by walking with a mobile receiver (increasingly replaced by laser scanning or UAS-based photogrammetry).

Continuous GNSS

  • Permanent installations make continuous measurements to increase accuracy.
  • Receivers continuously collect and forward data for processing and analysis.
  • Averaging over days can improve accuracies to a few millimeters for monitoring tectonics and volcanic deformations.
  • Equipment must be stable and resilient against wildlife.

Crustal Deformation Monitoring

  • Example: Continuous GNSS measurements in the San Francisco area around the San Andreas Fault.
  • Yearly displacement vectors represent differential measurements relative to a static base.
  • Data identifies relative crustal motion around fault segments.
  • Continuous GNSS measurements provide insight into relative crustal velocities and strain accumulation rates.

GNSS Advantages

  • Ability to make absolute measurements of 3D position globally.
  • Survey grade receivers are relatively cheap with consumer grade receivers being even cheaper.
  • Government-maintained systems are free to use.

GNSS Limitations

  • Number of visible satellites varies, affecting accuracy.
  • Multiple GNSS systems reduce this problem for many receivers.
  • Challenges remain in narrow valleys, urban settings, and dense vegetation.

INSAR (Interferometric Synthetic Aperture Radar)

  • Space-based radar technique for quantifying topographic change.
  • Synthetic aperture radar provides detailed data from a given antenna size.
  • The first global topographic model was made using synthetic aperture radar from the Space Shuttle Radar Topography Mission (SRTM).
  • Data are now freely available at 30-90 meter spatial resolution and 10 meter vertical accuracy.
  • SAR satellites generate continuous images of the ground, even through cloud cover.
  • SAR data is often interpreted in terms of image brightness.

INSAR for Topographic Change Detection

  • INSAR combines two overpasses of a satellite to measure changes in distance to the surface.
  • Measures topographic change rather than absolute topography.
  • Radar wave bouncing off the surface, if there's topographic change, the second return signal is slightly out of phase of the first signal.
  • INSAR measures this phase shift.

Interferograms

  • Results presented as interferograms, with color representing phase shift magnitude.
  • Concentric rainbow-like fringes indicate surface deformation.
  • Radars used in INSAR have wavelengths of multiple centimeters to a few tens of centimeters.
  • INSAR can measure surface changes down to millimeters.

Considerations for INSAR

  • Phase shift must be due to positional change only.
  • Changes in surface roughness can affect radar phase (decorrelation).
  • Resurfacing events like lava flows cannot be measured by INSAR.

INSAR Applications

  • Faults associated with earthquakes: example of interferogram from Italy earthquake in 2009.
  • Each fringe represents a change of distance towards the satellite, like contours of surface deformation.
  • Counting fringes indicates total deformation (in the example, half a meter).
  • Links seismic measurements to surface fault rupture.
  • Understanding how much strain is being stored is an important part of understanding seismic hazard.

Complementary measurements

  • GNSS data from San Francisco: rates of surface deformation as yellow arrows.
  • INSAR measurements complement GNSS by filling in spatial gaps.
  • Interferogram confirms fault creep in most areas (blue and red colors separated across fault).
  • Locked fault areas (blue on both sides) indicate increased stress and higher earthquake likelihood.

INSAR for Anthropogenic Changes

  • Monitoring surface deformation in London.
  • Colors represent plus or minus 2 millimeters per year (red = subsidence, blue = heave).
  • Subsidence along crossrail tunnel is expected and verified against models.
  • Broader regions of subsidence/heave indicate groundwater changes.
  • Combining space-based gravity measurements, INSAR, and GNSS gives greater insight into groundwater changes.
  • Monitoring effects of hydrocarbon withdrawal and validating subsurface activity models.

INSAR and GNSS: Complementary Methods

  • INSAR gives relative position change, repeat measurements limited by satellite overpass frequency.
  • Restricted by signal decorrelation.
  • GNSS measurements can be made frequently and provide absolute 3D positional measurements.
  • Limited to receiver locations.

Summary

  • GNSS data are integral to geophysical surveys and make direct surface deformation measurements.
  • INSAR has greater spatial coverage and provides image-style data of surface deformation.
  • INSAR values aren't absolute measurements.
  • Combining the two methods brings the best aspects of both.