TECHNICAL PAPERS
Feb 1, 2005

Computing Pit Excavation Volume

Publication: Journal of Surveying Engineering
Volume 131, Issue 1

Abstract

The estimation of borrow pit volumes is common in many surveying and highway applications. The trapezoidal method (rectangular or triangular prisms), classical cross sectioning (trapezoidal, Simpson, and average formula), and improved methods (Simpson-based, cubic spline, and cubic Hermite formula) have been presented in the literature. The purpose of this paper is to compare volumes determined by the existing methods with volumes calculated by rectangular prisms using the gridding method of natural neighbor on example 2 in a paper by Chen and Lin, which was also used in a work by Easa. The multiquadric and minimum curvature gridding methods tested in Yanalak and Baykal are also applied to this example. For these volumes, excavation height values in a 1m grid are interpolated using gridding methods of natural neighbor, multiquadric, and minimum curvature. Then, excavation volume is determined as rectangular prisms. The results are compared with the existing volumes in a paper by Easa.

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References

Anderson, J. M., and Mikhail, E. M. (1998). Surveying: Theory and practice, 7th Ed., McGraw-Hill, New York.
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Easa, S. M. (1988). “Estimating pit excavation volume using nonlinear ground profile.” J. Surv. Eng., 114(2), 71–83.
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Sukumar, N., Moran, B., Semenov, A. Y., and Belikov, B. B. (2001). “Natural neighbour Galerkin methods.” Int. J. Numer. Methods Eng., 50, 1–27.
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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 131Issue 1February 2005
Pages: 15 - 19

History

Received: Feb 15, 2002
Accepted: Apr 7, 2004
Published online: Feb 1, 2005
Published in print: Feb 2005

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M. Yanalak
PhD, Istanbul Technical Univ., Civil Engineering Faculty, Geodesy and Photogrammetric Engineering Dept., 34469 Istanbul, Turkey.

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