Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
Gravity inversion in spherical coordinates usin...
Search
Leonardo Uieda
May 01, 2014
Science
0
520
Gravity inversion in spherical coordinates using tesseroids
Leonardo Uieda
May 01, 2014
Tweet
Share
More Decks by Leonardo Uieda
See All by Leonardo Uieda
PhD defense
leouieda
0
1.6k
Inversão gravimétrica do relevo da Moho em coordenadas esféricas
leouieda
0
110
Fatiando a Terra: construindo uma base para ensino e pesquisa de geofísica
leouieda
0
1k
Modelagem e inversão em coordenadas esféricas na gravimetria
leouieda
0
110
Modelagem gravimétrica em coordenadas esféricas
leouieda
0
150
3D magnetic inversion by planting anomalous densities
leouieda
1
450
Iron ore interpretation using gravity-gradient inversions in the Carajás, Brazil
leouieda
0
320
Rapid 3D inversion of gravity and gravity gradient data to test geologic hypotheses
leouieda
1
360
Inversão 3D de campos potenciais em coordenadas esféricas - Parte 1: Modelagem direta
leouieda
2
130
Other Decks in Science
See All in Science
05_山中真也_室蘭工業大学大学院工学研究科教授_だてプロの挑戦.pdf
sip3ristex
0
620
機械学習 - 授業概要
trycycle
PRO
0
230
安心・効率的な医療現場の実現へ ~オンプレAI & ノーコードワークフローで進める業務改革~
siyoo
0
320
KH Coderチュートリアル(スライド版)
koichih
1
45k
Masseyのレーティングを用いたフォーミュラレースドライバーの実績評価手法の開発 / Development of a Performance Evaluation Method for Formula Race Drivers Using Massey Ratings
konakalab
0
190
Symfony Console Facelift
chalasr
2
460
データベース05: SQL(2/3) 結合質問
trycycle
PRO
0
790
Agent開発フレームワークのOverviewとW&B Weaveとのインテグレーション
siyoo
0
330
データベース01: データベースを使わない世界
trycycle
PRO
1
770
Gemini Prompt Engineering: Practical Techniques for Tangible AI Outcomes
mfonobong
2
150
データベース09: 実体関連モデル上の一貫性制約
trycycle
PRO
0
980
凸最適化からDC最適化まで
santana_hammer
1
280
Featured
See All Featured
Building Better People: How to give real-time feedback that sticks.
wjessup
368
19k
The Success of Rails: Ensuring Growth for the Next 100 Years
eileencodes
46
7.6k
CoffeeScript is Beautiful & I Never Want to Write Plain JavaScript Again
sstephenson
161
15k
Code Reviewing Like a Champion
maltzj
525
40k
Building an army of robots
kneath
306
46k
Music & Morning Musume
bryan
46
6.8k
Rails Girls Zürich Keynote
gr2m
95
14k
Gamification - CAS2011
davidbonilla
81
5.4k
Facilitating Awesome Meetings
lara
55
6.5k
Learning to Love Humans: Emotional Interface Design
aarron
273
40k
[Rails World 2023 - Day 1 Closing Keynote] - The Magic of Rails
eileencodes
36
2.5k
Bootstrapping a Software Product
garrettdimon
PRO
307
110k
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