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
510
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
100
Fatiando a Terra: construindo uma base para ensino e pesquisa de geofísica
leouieda
0
990
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
310
Rapid 3D inversion of gravity and gravity gradient data to test geologic hypotheses
leouieda
1
350
Inversão 3D de campos potenciais em coordenadas esféricas - Parte 1: Modelagem direta
leouieda
2
130
Other Decks in Science
See All in Science
2025-06-11-ai_belgium
sofievl
1
130
メール送信サーバの集約における透過型SMTP プロキシの定量評価 / Quantitative Evaluation of Transparent SMTP Proxy in Email Sending Server Aggregation
linyows
0
930
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
500
データマイニング - グラフデータと経路
trycycle
PRO
1
140
MoveItを使った産業用ロボット向け動作作成方法の紹介 / Introduction to creating motion for industrial robots using MoveIt
ry0_ka
0
500
科学で迫る勝敗の法則(名城大学公開講座.2024年10月) / The principle of victory discovered by science (Open lecture in Meijo Univ. 2024)
konakalab
0
350
CV_5_3dVision
hachama
0
140
機械学習 - SVM
trycycle
PRO
1
840
データベース03: 関係データモデル
trycycle
PRO
1
120
SciPyDataJapan 2025
schwalbe10
0
240
高校生就活へのDA導入の提案
shunyanoda
0
300
SpatialBiologyWestCoastUS2024
lcolladotor
0
140
Featured
See All Featured
Understanding Cognitive Biases in Performance Measurement
bluesmoon
29
1.8k
VelocityConf: Rendering Performance Case Studies
addyosmani
331
24k
Six Lessons from altMBA
skipperchong
28
3.9k
Gamification - CAS2011
davidbonilla
81
5.3k
Intergalactic Javascript Robots from Outer Space
tanoku
271
27k
Build your cross-platform service in a week with App Engine
jlugia
231
18k
The Pragmatic Product Professional
lauravandoore
35
6.7k
The Illustrated Children's Guide to Kubernetes
chrisshort
48
50k
Exploring the Power of Turbo Streams & Action Cable | RailsConf2023
kevinliebholz
34
5.9k
[RailsConf 2023] Rails as a piece of cake
palkan
55
5.6k
How to Ace a Technical Interview
jacobian
277
23k
Why Our Code Smells
bkeepers
PRO
337
57k
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