Advertisement

Bulletin Géodésique

, Volume 56, Issue 4, pp 300–311 | Cite as

An evaluation of orthometric height accuracy using bore hole gravimetry

  • William E. Strange
Article

Abstract

Errors are introduced in orthometric height computations by the use of standard formulas to estimate mean gravity along the plumb line. Direct measurements of gravity between the Earth’s surface and sea level from bore hole gravimetry were used to determine the magnitude of these errors. For the seven cases studied, errors in orthometric height, due to the use of the Helmert method for computing mean gravity along the plumb line, were generally small (<2 cm). However, in one instance the error was substantial, being9.6 cm. The results verified the general validity of the Poincaré-Prey approach to estimation of gravity along the plumb line and demonstrated that the suggestion byVanicek (1980) that the air gradient is more appropriate is incorrect. With sufficient topographic information to compute terrain corrections, and density estimates from surface gravity, errors in mean gravity along the plumb line should contribute no more than 3cm to orthometric height computation.

Keywords

Gravity Gradient Plumb Line Open File Report Orthometric Height Terrain Correction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.A. BEYER (1980): Bore hole gravity program at the U.S. Geological Survey (1963 to 1975)—brief history and basic data, Open file report 80-903, 76 p., U.S. Geological Survey, Denver, Colorado.Google Scholar
  2. L.A. BEYER and F.G. CLUTOM (1978a): Density and porosity of oil reservois and overlying formations from bore hole gravity measurements, Gebo Oil Field, Hot Sorings County, Wyoming, Oil and Gas Investigations Chart OC-88, U.S. Geological Survey Reston, Virginia.Google Scholar
  3. L.A. BEYER and F.G. CLUTSOM (1978b): Bore hole gravity survey in the Dry Piney Oil and Gas field, Big Piney—La Barge area Sublette County, Wyoming, Oil and Gas Investigations Chart OC-84, U.S. Geological Survey, Reston Virginia.Google Scholar
  4. W.A. HEISKANEN and H. MORITZ (1967):Physical Geodesy, 364 p., W. H. Freeman and Company, San Francisco, California.Google Scholar
  5. B.A. KOSOSKI and S.L. ROBBINS (1979): In situ bulk density and porosity estimates from bore hole gravity data in limestones of the Madison Group, Test Well no. 1, Crook County, Wyoming, Open file report 79-1514 12 p., U.S. Geological Survey, Reston, Virginia.Google Scholar
  6. B.A. KOSOSKI, S.L. ROBBINS and J.W. SCHOMOKER (1978a): Principal facts for bore hole gravity stations in stratigraphic test well ERDA No. 9, Eddy County, New Mexico, Open file report 78-696, 12 p., U.S. Geological Survey, Reston, Virginia.Google Scholar
  7. B.A. KOSOSKI, S.L. ROBBINS and J.W. SCHOMOKER (1978b): Principal facts for bore hole gravity stations in test well Ue 19z, exploratory drill hole PM-1, and water well 5a, Nevada Test Site, Nye County, Nevada, Open file report 78-983, 17 p., U.S. Geological Survey, Reston, Virginia.Google Scholar
  8. E.J. KRAKIWSKY (1965): Heights, M.S. Thesis, 157 p., Dept. of Geodetic Science, The Ohio State University, Columbus, Ohio.Google Scholar
  9. K. MADER (1954): Die orthometrische Schwerekorrektion des Prazisions—Nivellements in den Hoken Tauern. Osterreischische Zeitschrift für Vermessungswesen, Sonderheft 15.Google Scholar
  10. J. NEITHAMMER (1932): Nivellement und Schwere als Mittel zur Berechnung wahrer Meereshohen, Schweizerische Geodätische Kommission.Google Scholar
  11. R.R. RAPP (1961): The Orthometric Height, M.S. Thesis, 115 p., Dept. of Geodetic Science, The Ohio State University, Columbus, Ohio.Google Scholar
  12. S.J. ROBBINS, R.J. MARTINEZ, and D.L. SMITH (1979): Principal facts for bore hole gravity stations in wells DC-3, DC-5, and DC-7, at the Hanford Site, Washington and in well RSH no. 1 in Rattlesnake Hills, Washington, Open file report 79 849, 29 p., U.S. Geological Survey, Reston, Virginia.Google Scholar
  13. P. VANICEK (1980): Heights based on observed gravity,in Proceedings, Second International Symposium on Problems Related to the Redefinition of North American Vertical Geodetic Networks, p. 553–566, The Canadian Institute of Surveying, Ottawa, Canada.Google Scholar

Copyright information

© Bureau Central de L’Association Internationale de Géodésie 1982

Authors and Affiliations

  • William E. Strange
    • 1
  1. 1.National Geodetic Survey National Ocean SurveyNOAARockville

Personalised recommendations