World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Reconstructing Bottom Water Temperatures from Measurements of Temperature and Thermal Diffusivity in Marine Sediments : Volume 11, Issue 4 (09/07/2015)

By Miesner, F.

Click here to view

Book Id: WPLBN0004020273
Format Type: PDF Article :
File Size: Pages 13
Reproduction Date: 2015

Title: Reconstructing Bottom Water Temperatures from Measurements of Temperature and Thermal Diffusivity in Marine Sediments : Volume 11, Issue 4 (09/07/2015)  
Author: Miesner, F.
Volume: Vol. 11, Issue 4
Language: English
Subject: Science, Ocean, Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Müller, C., Lechleiter, A., & Miesner, F. (2015). Reconstructing Bottom Water Temperatures from Measurements of Temperature and Thermal Diffusivity in Marine Sediments : Volume 11, Issue 4 (09/07/2015). Retrieved from

Description: Zentrum für Technomathematik, University of Bremen, Bremen, Germany. Continuous monitoring of oceanic bottom water temperatures is a complicated task, even in relatively easy-to-access basins like the North or Baltic seas. Here, a method to determine annual bottom water temperature variations from inverse modeling of instantaneous measurements of temperatures and sediment thermal properties is presented. This concept is similar to climate reconstructions over several thousand years from deep borehole data. However, in contrast, the presented method aims at reconstructing the recent temperature history of the last year from sediment thermal properties and temperatures from only a few meters depth. For solving the heat equation, a commonly used forward model is introduced and analyzed: knowing the bottom water temperature variations for the preceding years and the thermal properties of the sediments, the forward model determines the sediment temperature field. The bottom water temperature variation is modeled as an annual cosine defined by the mean temperature, the amplitude and a phase shift. As the forward model operator is non-linear but low-dimensional, common inversion schemes such as the Newton algorithm can be utilized. The algorithms are tested for artificial data with different noise levels and for two measured data sets: from the North Sea and from the Davis Strait. Both algorithms used show stable and satisfying results with reconstruction errors in the same magnitude as the initial data error. In particular, the artificial data sets are reproduced with accuracy within the bounds of the artificial noise level. Furthermore, the results for the measured North Sea data show small variances and resemble the bottom water temperature variations recorded from a nearby monitoring site with relative errors smaller than 1 % in all parameters.

Reconstructing bottom water temperatures from measurements of temperature and thermal diffusivity in marine sediments

Chouinard, C., Fortier, R., and Mareschal, J.-C.: Recent climate variations in the Subarctic inferred from three borehole temperature profiles in Northern Quebec, Canada, Earth Planet. Sc. Lett., 263, 355–369, 2007.; Clauser, C.: Geothermal energy, in: Landolt-Börnstein, Group VIII: Advanced Materials and Technologies, vol. 1: Energy Technologies, Subvol. C: Renewable Energies, edited by: Heinloth, K., Springer Verlag, Heidelberg-Berlin, 493–604, 2006.; Davis, E. E., Wang, K., Becker, K., and Yashayaev, I.: Deep-ocean temperature variations and implications for errors in sea floor heat flow determinations, J. Geophys. Res., 108, 2034, doi:10.1029/2001JB001695, 2003.; Dillon, M., Müller, C., and Usbeck, R.: Acquiring thermal conductivity data from shear-resistant sediments, Sea Technol., 53, 57–61, 2012.; Beardsmore, G. R. and Cull, J. P.: Crustal Heat Flow: a Guide to Measurement and Modelling, Cambridge University Press, New York, 336 pp., 2001.; Brakelmann, H. and Stammen, J.: Thermal Analysis of Submarine Cable Routes: LSM or FEM?, IEEE-conference PECon, Putra Jaya, Malaysia, 560–565, 2006.; Bullard, E. C.: Heat Flow in South Africa, Proc. R. Soc. Lond. A, 173, 474–502, 1939.; Bundesamt für Seeschifffahrt und Hydrographie: MARNET-Messnetz, available at: (last access: 6 June 2014), 2014.; Evans, L. C.: Partial Differential Equations, American Mathematical Society, Providence, 663 pp., 2010.; Hamamoto, H., Yamano, M., and Goto, S.: Heat flow measurement in shallow seas through long-term temperature monitoring, Geophys. Res. Lett., 32, L21311, doi:10.1029/2005GL024138, 2005.; Hanke-Bourgeois, M.: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, Vieweg+Teubner, Wiesbaden, 840 pp., 2009.; Hartmann, A. and Villinger, H.: Inversion of marine heat flow measurements by expansion of the temperature decay function, Geophys. J. Int., 148, 628–636, 2002.; Hyndman, R. D., Davis, E. E., and Wright, J. A.: The measurement of marine geothermal heat flow by a multipenetration probe with digital acoustic telemetry and insitu thermal conductivity, Mar. Geophys. Res., 4, 181–205, 1979.; Jaupart, C. and Mareschal, J.-C.: Heat Generation and Transport in the Earth, Cambridge University Press, New York, 464 pp., 2011.; Lowrie, W.: Fundamentals of Geophysics, Cambridge University Press, New York, 381 pp., 2007.; Müller, C, Miesner, F., Usbeck, R., and Schmitz, T.: 2 K-criterion: measuring and modelling temperatures and thermal conductivities/diffusivities in shallow marine sediments, Conference on Maritime Energy 2013, TUHH, Hamburg, 475–490, 2013.; Omstedt, A. and Axel, L. B.: Modelling the seasonal, interannual, and long-term variations of salinity and temperature in the Baltic proper, Tellus A, 50, 637–652, 1998.; Ribergaard, M. H.: Oceanographic Investigations off West Greenland 2011, Danish Meteorological Institute Centre for Ocean and Ice, Copenhagen, 2011.; Rhode, J., Tett, P., and Wulff, F.: The Baltic and North Seas: a regional review of some important physical-chemical-biological interaction processes, in: The Seas, vol. 14, chap. 26, edited by: Robinson, A. R. and Brink, K. H., Harvard University Press, 1029–1071, 2004.; Rieder, A.: On the regularization of nonlinear ill-posed problems via inexact Newton iterations, Inverse Probl., 15, 309–327, 1999a.; Rieder, A.: On convergence rates of inexact Newton regularizations, Numer. Math., 88, 347–365, 1999b.; Rieder, A.: Keine Probleme mit Inversen Problemen: Eine Einführung in stabile Lösungen, Vieweg+Teubner Verlag, Wiesbaden, 2003.; Shen, P. Y. and Beck, A. E.: Least Squares Inversion of Borehole Temperature Measurements in Functional Space, J. Geop


Click To View

Additional Books

  • The Shallow Meridional Overturning Circu... (by )
  • Role of Cabbeling in Water Densification... (by )
  • Coastal Observing and Forecasting System... (by )
  • Ventilation of the Mediterranean Sea Con... (by )
  • The Role of Atmosphere and Ocean Physica... (by )
  • Circulation, Eddies, Oxygen, and Nutrien... (by )
  • Assimilating Globcolour Ocean Colour Dat... (by )
  • On Contribution of Horizontal and Intra-... (by )
  • On the Indonesian Throughflow in the Occ... (by )
  • In Situ Determination of the Remote Sens... (by )
  • Investigation of Model Capability in Cap... (by )
  • Biogeography of Planktonic Bacterial Com... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from World Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.