david avalos-naranjo venice, italy, 2012

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David Avalos-Naranjo Venice, Italy, 2012.

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David Avalos-Naranjo

Venice, Italy, 2012.

• Contents

– Mexico’s gravimetric network and models.

– Gravimetric geoid 2010.

– Views for future modeling.

– Collaboration with North America.

– Collaboration with Central America and Caribbean.

Mexico’s gravimetric network and models

• Surveying program continues alive since 1981.

• 8 relative gravimeters.

• Ref. frame: IGSN71.

INEGI’s gravity observations,

September 2012

71,314

• A series of 10 models and charts for Mexico

is ready for publication:

– Gravity acceleration

– Free air anomaly

– Spherical terrain correction

– Complete Bouguer anomaly

– Direct topographical effect

– Direct atmospherical effect

– Primary indirect topographical effect

– Secondary indirect topographical effect

– Surface anomalous density effect

– Helmert anomaly on the topography

Mexico’s gravimetric network and models

• Characteristics:

Reference frame: IGSN71

Resolution: 2.5’ x 2.5’

cell averages

Coverage: Lat 14 to 33,

Lon 86 to 119.

General accuracy: comparing point values vs modeled mean values

Sample statistics

of free air anomaly

Mean = -1.316

Std. Dev. = 7.475

Max = 101.757

Min = -194.537

Total terrestrial data: 167,005

Mexico’s gravimetric network and models

Gravimetric Geoid 2010

• GGM10

– Reference frame: ITRF2008

– Resolution: 2.5’

– Coverage: Lat 14 to 33,

Lon 86 to 119.

– Gravimetric solution.

– Stokes-Helmert technique.

• General information in english:

www.inegi.org.mx/geo/contenidos/geodesia/ggm_em.aspx

Gravimetric Geoid 2010

• Input data selected

– Gravimetric models 2010

– Ocean gravity: EGM2008 (GRACE based)

– Reference field: EIGEN-GRACE02S deg. 40/40

– DEM local: CEM1 (INEGI),

NED (USGS),

SRTM (NASA).

– DEM global: JGPM95

Needs work on accuracy determination.

The image shows leveling datum distortion,

time variations in height and geoid error.

0.6

-0.9

0

m

NGPS/BM – NGGM10

Views for future modeling

• INEGI is improving is coordinating efforts with most countries in the region.

• Wo = 62,636,856.0 is considered a convenient reference for Mexico.

• A significantly improved geoid model must be based on datasets of improved confidence level (gravimetric and DEMs).

• Main concern: heterogeneous quality in terrestrial gravimetry and may be regionaly biased frame (IGSN71).

• A strategy: – modernize the reference frame,

– modernize processing technique for propagation,

– obtain a gravity dataset of homogeneous quality.

– DEMs from lidar and satellite imaging.

Views for future modeling

• Strategy to improve the gravity field determination.

(2010-2015)

Redefinition of reference frame by:

a) revision and recovery of historical gravity data surveyed within a fundamental network;

b) training;

c) design and survey of a renewed/robust fundamental network based on relative gravity determination;

d) generate ties between the new network and AG sites;

e) re-adjustment of the basic network from historic + recent data considering time variations

(approach: Pagiatakis and Salib, 2003).

Relative tie observations on funfamental frame,

September 2012

5,400

Views for future modeling

• Strategy to improve gravity field determination:

(2010-2015?)

Following steps:

- re-determine gravity values for the entire national network,

- mitigate methodological problems and re-process models.

Collaboration with North America

• Regional collaboration with Canada, USA, Greenland.

Joint work

leads to conventional Wo=62,636,856.00,

representative to the region,

coincident with IERS recommendation.

- Mexico will consider such Wo as reference for the national geoid model.

- So far the national models fit as follows:

models mean dif. std. dev. dif.

vs 0 cm 4 cm

vs 18 cm 21 cm

vs GOCE 17 cm 51 cm

Central America and Caribbean

• INEGI initiative

Main objective: • Model and monitor geoidal heights in the region

through the stablishment of custom strategies.

MEXICO

GUATEMALA

EL SALVADOR NICARAGUA

COSTA RICA PANAMA

DOMINICANA

HONDURAS

Central America and Caribbean

• INEGI initiative

MEXICO

GUATEMALA

EL SALVADOR NICARAGUA

COSTA RICA PANAMA

DOMINICANA

HONDURAS

Particular targets:

• Creation of an inter-institutional network of specialists on geoid and gravity field.

• Impulse capacity building in geoid computation.

• Generate agreements on standards: parameters, models, data administration and exchange.

Central America and Caribbean

• Realization: PAIGH-INEGI 3 years project.

– Activities held on 2011:

a) Invitations issued for national cartographic institutions.

b) Coordinated preparation of initial reports.

c) Geoid workshop in Aguascalientes, Mexico, Sep-2011.

– Activities held on 2012:

a) Editing a regional diagnostic of geodetic infrastructure.

b) Meeting at distance, Apr-2012.

•Dominicana

•Haiti

•Colombia

•Panama

•Costa Rica

•Nicaragua

•Honduras

•El Salvador

•Guatemala

•Belize

•Cuba

•Mexico

•National reports on existing geodetic infrastructure;

•Training: theory on gravimetric data treatment and Stokes-Helmert.

•Special participation: Daniel Roman and Petr Vanicek.

•National reports on improving gravimetric infrastructure.

Central America and Caribbean

• PAIGH-INEGI project: first results.

The relevance of gravimetry for national development has been pointed.

Situation in federal gravimetry before the project:

active

few obstacles

many obstacles

MEXICO

GUATEMALA

EL SALVADOR

NICARAGUA

COSTA RICA

PANAMA

DOMINICANA

HONDURAS

Recent change!

EL SALVADOR

PANAMA

Central America and Caribbean

• PAIGH-INEGI project.

Of concern:

• Financial support for annual workshop as well as for trans-national surveys is not guarantied.

Workshop 2012 canceled.

• The lack of gravimeters and poor or outdated training, plus reduced budget prevents the feasibility of giving impulse to gravimetry in some geographic institutes.

Central America and Caribbean

• PAIGH-INEGI project.

– Yet to come:

– Presentation of renewed national databases

and opening of surveying programs.

– Normalization of the available:

– terrestrial gravimetry,

– space gravimetry,

– DEM,

– leveling.

– Training on handling scientific software.

– Adoption of standards.

– Tackle the issue of geoid monitoring.

Summary

• Mexico’s gravimetric models and geoid are released: see www.inegi.org.mx

• Actions to improve accuracy of the models are being taken through re-definition of the gravimetric reference frame and revision of the methodology.

• Future geoid modeling will be based on the regional Wo convention.

• Coordinated work in Central America and Caribbean has begun with enthusiastic acceptance. Advances in training, and gravimetric surveying are paramount for geoid modeling in Central America.

• Advertisement:

Attend session

Trans-natonal gravity field determination and regional height systems.

Department of the geoid

[email protected]

Because we provide

information for everybody…

01 800 111 46 34

www.inegi.org.mx

[email protected]

¡México counts with the INEGI!