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Efforts to Monitor Geoid Change in Mexico Towards a Significant Improvement for National and Regional Geoid Solution David Avalos-Naranjo. August 2009

Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

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Page 1: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Efforts to Monitor Geoid Change in Mexico

Towards a Significant Improvement for National and Regional

Geoid Solution

David Avalos-Naranjo. August 2009

Page 2: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Contents

• Current geoid solution: GGM06

• Gravimetric network,

current state and perspective.

• Heights and its Variations• Re-construction

of the geodetic vertical control network.

• Magnitude of vertical movements detected.

Page 3: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Contents

• Current geoid solution: GGM06

• Gravimetric network, current state and perspective.

• Heights and its Variations• Re-construction

of the geodetic vertical control network.• Magnitude of vertical movements detected.

Page 4: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Geoid Solution

• Geoid solutions with free access

have been released since August 2004.

• Kind of solution from INEGI:

– Constraints: pure gravimetric

– Geoid fixed in time

– Approach: Stokes-Helmert technique (UNB)

Page 5: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Geoid Solution

• Currently recommended: GGM06

software available at: www.inegi.org.mx

Page 6: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Geoid Solution

• Last geoid solution (GGM06) used three terrain gravity sources:

– INEGI

– DMA (1993)

– PEMEX (1987)

– Sea anomalies: derived from altimetry T/P

Page 7: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Geoid Solution

• Input coverage for GGM06

Page 8: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Geoid Solution

Weaknesses detected

– Extended data voids and lack of offshore data buffer prevent an exact determination of geoidal heights.

– Regional disagreement among gravity sources can be high (10 and 20 mGal).

– Geoid accuracy has been regionally affected in dm level by some biases in gravity anomaly.

– Offshore accuracy has not been determined.

Page 9: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Geoid Solution

• Perspective:

– Strategy for improving accuracy

• Analysis of input gravity

• Removal of biases medium/long wavelength

• Insertion of recent GRACE-derived g anomalies

• Implementation of most recent software version (SHGeo, UNB)

– For next solution:

• Sought < 10 cm absolute accuracy point by point

• Assessment by improved GNSS/BM

Page 10: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Contents

• Current geoid solution: GGM06

• Gravimetric network, current state and perspective.

• Heights and its Variations• Re-construction

of the geodetic vertical control network.• Magnitude of vertical movements detected.

Page 11: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Gravimetric Network

• Gravity surveys continue to densify homogeneously throughout the country.

62,065 points IGSN71

Page 12: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Gravimetric Network

• Current densification criteria:

– 1 point per 2.5’x2.5’ cell

– all benchmarks observed

ongoing

Page 13: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Gravimetric Network

• Weaknesses detected

– Offshore-buffer gravity values missing!

– Regional and general accuracy is unknown!

– Absolute g reference missing!

– Calibration line for gravimeters missing!

Page 14: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Gravimetric Network

• Solutions for near future– Diagnosis of INEGI’s base network:

• study robustness of the current base network,

• design of reinforcement links,

• evaluate a simultaneous adjustment.

– Obtain new absolute g observations for:• assessment of network consistency,

• detecting regional biases,

• establishment of one calibration line,

• regular monitoring of time variations.

– Possible redefinition of g values for the whole net(if significant distortions were detected).

Page 15: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Gravimetric Network

• Not implemented yet:

– Airborne gravimetry

– Shipborne gravimetry

– Absolute g

Page 16: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Contents

• Current geoid solution: GGM06

• Gravimetric network, current state and perspective.

• Heights and its Variations• Re-construction

of the geodetic vertical control network.• Magnitude of vertical movements detected.

Page 17: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

• Datum adopted: NAVD88

• First order network is built in stages:

– Older network:

surveys 1949 – 2002

analog devises

– Recent observations (re-construction)

surveys 2002 – to date.

electronic devises

Vertical Control Network

Page 18: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Accumulated levelling 1949 – 2002

Vertical Control Network

Page 19: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent levelling, 2002 to date

Vertical Control Network

30,000 km25,000 benchmarks

Page 20: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Benchmarks re-observed:

Vertical Control Network

Re-levelling helps monitoring vertical deformations.

Page 21: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Vertical Control Network

Weaknesses detected:

• No rigorous modelling of some systematic errors has been applied to the network(field data is insufficient for this),

• Most of older benchmarks are destroyed.

• Reference NAVD88 heights are uncertain due to time variations.

Page 22: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Vertical Control Network

EXPECTATIONS:

• To complete the construction of a recent network within next few years,

• To organize re-observed level differences,

• To estimate time-variations in level differences along the country.

Page 23: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Contents

• Current geoid solution: GGM06

• Gravimetric network, current state and perspective.

• Heights and its Variations• Re-construction

of the geodetic vertical control network.• Magnitude of vertical movements detected.

Page 24: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

• Mexico is mostly built on deformation areas.

• Current vertical displacements are studied.

• Existing estimates come from:

– MSL tracking,

– GPS time-series,

– Re-levelling.

Page 25: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

– Point velocity from MSL records:

After D. Avalos, 2009.

Page 26: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

– Point velocity from GPS time-series:

Network: INEGI-RGNA

After D. Avalos, 2009.

Page 27: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

– Point velocity from GPS time-series:

Network: SOPAC

After D. Avalos, 2009.

Page 28: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

– Point velocity from GPS time-series:

Network: UNAM-SSN

After D. Avalos, 2009.

Page 29: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

– Relative velocity from re-levelling

-10.0

-8.0

-6.0

-4.0

-2.0

0.0

2.0

4.0

6.0

8.0

10.0

0 100 200 300 400 500 600 700 800

Distance from tide-gauge at Mazatlan [km]

Re

lative

ve

locity a

ccu

mu

late

d

[mm

/y]

MAZATLAN AGS

Detection of General Trends per ProfileAnd unstable monitoring Sites

Page 30: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

• Vertical Crustal Movements, Preliminary map:– (excluding variations of local extent)

mm/y

Page 31: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

IMPLICATIONS:

– Current displacements are significant and should be accounted for in height determination,

– Geoidal heights from GNSS/leveling could be significantly improved considering local vertical motions to achieve epoch consistency,

– Actual VCM (medium wavelength features) seems to have potential to change the geoid at 1cm level only after accumulating 20 years of motion.

Page 32: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Recent Vertical Movements

IMPLICATIONS:

– Point velocities can be highly deceiving for detecting VCM in Mexico,

– Re-leveling is potentially best (mitigation of systematic errors needs attention).

Page 33: Diapositiva 1Title: Diapositiva 1 Author: david.avalos Created Date: 10/19/2009 8:44:28 PM

Remarks

• Ongoing studies aim to improve the input for geoid computation.

• An effort in monitoring time-variations for geodetic quantities is giving preliminary results.

• Rates of Geoid change might be obtained in the future as an implication of changes in heights and gravity field.