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Gravity inversion in spherical coordinates using tesseroids Leonardo Uieda Valéria C. F. Barbosa
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vs Cartesian Spherical
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Existing inversion with tesseroids (Chaves and Ussami, 2013) ● Geoid height anomalies ● Space domain ● Regularization: – Depth-weighted Minimum Volume – Similarity to seismic tomography
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Adapt Planting anomalous densities (Uieda and Barbosa, 2012)
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Planting anomalous densities ● Space domain ● Multicomponent: gravity + gradients ● Non-conventional inversion – Growth algorithm – No linear systems – Efficient sensitivity computations
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Seed
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Synthetics ● Possible applications ● Advantages ● Shortcomings
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Lineament with dense rocks (magmatic) Inspired by Chad lineament model (Braitenberg et al, 2011)
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After Braitenberg et al (2011)
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After Braitenberg et al (2011)
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10º N 300 kg.m-3 2º 8km top=1 km
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gzz At 20 km
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Seeds
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observed predicted
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What if height=120 km?
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at 120 km at 20 km
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observed predicted
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at 120 km at 20 km
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Even higher height=270 km
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at 270 km at 120 km
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observed predicted
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at 270 km at 120 km
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Magmatic underplating Inspired by model of the Paraná basin by Mariani et al (2013)
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After Mariani et al (2013)
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After Mariani et al (2013)
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10º N 200 kg.m-3 15 km 5º 10º top=30 km
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gzz at 250 km
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Seed
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What if I use wrong density?
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150 kg.m-3 250 kg.m-3
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In conclusion
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for tesseroids
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Works well
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height matters 20km 250km
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correct dense correct dense
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Future ● Combinations of tensor components ● Dipping sources (subducting plate) ● Real data (open for collaboration)
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OPEN SOURCE fatiando.org github.com/leouieda/egu2014
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Extra
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(Hypothetical) Mantle Plume Inspired by synthetics in Chaves and Ussami (2013)
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After Chaves and Ussami (2013)
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top=100 km 200 km 700 km 2º -50 kg.m-3
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gzz at 250 km
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Seed
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Joint gz + gzz?
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Same seed
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gz gzz
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gzz Joint
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gzz Joint
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single vs joint