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
ほたるのひかり/RayTracingCamp10
kugimasa
1
710
高校生就活へのDA導入の提案
shunyanoda
0
260
アナログ計算機『計算尺』を愛でる Midosuji Tech #4/Analog Computing Device Slide Rule now and then
quiver
1
180
テンソル分解による糖尿病の組織特異的遺伝子発現の統合解析を用いた関連疾患の予測
tagtag
2
190
Lean4による汎化誤差評価の形式化
milano0017
1
220
証明支援系LEANに入門しよう
unaoya
0
1.1k
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
230
データベース09: 実体関連モデル上の一貫性制約
trycycle
PRO
0
680
システム数理と応用分野の未来を切り拓くロードマップ・エンターテインメント(スポーツ)への応用 / Applied mathematics for sports entertainment
konakalab
1
330
データベース11: 正規化(1/2) - 望ましくない関係スキーマ
trycycle
PRO
0
640
データマイニング - グラフデータと経路
trycycle
PRO
1
130
mathematics of indirect reciprocity
yohm
1
140
Featured
See All Featured
It's Worth the Effort
3n
185
28k
Designing for Performance
lara
609
69k
The Cost Of JavaScript in 2023
addyosmani
51
8.4k
Keith and Marios Guide to Fast Websites
keithpitt
411
22k
Being A Developer After 40
akosma
90
590k
What’s in a name? Adding method to the madness
productmarketing
PRO
23
3.5k
Visualizing Your Data: Incorporating Mongo into Loggly Infrastructure
mongodb
46
9.6k
Exploring the Power of Turbo Streams & Action Cable | RailsConf2023
kevinliebholz
33
5.9k
Writing Fast Ruby
sferik
628
61k
The Power of CSS Pseudo Elements
geoffreycrofte
77
5.8k
4 Signs Your Business is Dying
shpigford
184
22k
[RailsConf 2023] Rails as a piece of cake
palkan
55
5.6k
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