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Gravity inversion in spherical coordinates using tesseroids
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Leonardo Uieda
May 01, 2014
Science
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Gravity inversion in spherical coordinates using tesseroids
Leonardo Uieda
May 01, 2014
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Transcript
Gravity inversion in spherical coordinates using tesseroids Leonardo Uieda Valéria
C. F. Barbosa
vs Cartesian Spherical
Existing inversion with tesseroids (Chaves and Ussami, 2013) • Geoid
height anomalies • Space domain • Regularization: – Depth-weighted Minimum Volume – Similarity to seismic tomography
Adapt Planting anomalous densities (Uieda and Barbosa, 2012)
Planting anomalous densities • Space domain • Multicomponent: gravity +
gradients • Non-conventional inversion – Growth algorithm – No linear systems – Efficient sensitivity computations
None
Seed
None
None
None
None
None
None
None
None
None
None
None
Synthetics • Possible applications • Advantages • Shortcomings
Lineament with dense rocks (magmatic) Inspired by Chad lineament model
(Braitenberg et al, 2011)
After Braitenberg et al (2011)
After Braitenberg et al (2011)
10º N 300 kg.m-3 2º 8km top=1 km
gzz At 20 km
Seeds
observed predicted
None
What if height=120 km?
at 120 km at 20 km
observed predicted
at 120 km at 20 km
Even higher height=270 km
at 270 km at 120 km
observed predicted
at 270 km at 120 km
Magmatic underplating Inspired by model of the Paraná basin by
Mariani et al (2013)
After Mariani et al (2013)
After Mariani et al (2013)
10º N 200 kg.m-3 15 km 5º 10º top=30 km
gzz at 250 km
Seed
None
What if I use wrong density?
150 kg.m-3 250 kg.m-3
In conclusion
None
for tesseroids
Works well
height matters 20km 250km
correct dense correct dense
Future • Combinations of tensor components • Dipping sources (subducting
plate) • Real data (open for collaboration)
OPEN SOURCE fatiando.org github.com/leouieda/egu2014
Extra
(Hypothetical) Mantle Plume Inspired by synthetics in Chaves and Ussami
(2013)
After Chaves and Ussami (2013)
top=100 km 200 km 700 km 2º -50 kg.m-3
gzz at 250 km
Seed
None
Joint gz + gzz?
Same seed
gz gzz
gzz Joint
gzz Joint
single vs joint