Estimation of soil thermal properties using in-situ temperature measurements in the active layer and permafrost

D. Nicolsky, V. Romanovsky, G. Panteleev

Bibliography

Alifanov, O., 1994. Inverse Heat Transfer Problems. Springer, Berlin.

Alifanov, O., Artyukhin, E., Rumyantsev, S., 1996. Extreme Methods for Solving Ill-Posed Problems with Application to Inverse Heat Transfer Problems. Begell House, New York.

Andersland, O., Anderson, D., 1978. Geotechnical Engineering for Cold Regions. McGraw-Hill.

Anderson, D., Morgenstern, N., 1973. Physics, chemistry and mechanics of frozen ground: A review. In: Proceedings Second International Conference on Permafrost. Yakutsk, USSR, pp. 257-288.

Anderson, T., Thomson, G., 1992. The Inverse Problem of the Calculus of Variations for Ordinary Differential Equations. American Mathematical Society, Providence.

Arnold, C., Dey, C., 1986. Observing systems simulation experiments: past, present, and future. Bulletin American Meteorological Society 67, 687-695.

Beck, A., 1988. Handbook of Terrestrial Heat Flow Density Determination. Kluwer, Dordrecht, Ch. Methods for determining thermal conductivity and thermal diffusivity, pp. 87-124.

Beck, J., 1964. The optimum analytical design of transient experiments for simultaneous determinations of thermal conductivity and specific heat. Ph.d. thesis, Michigan State University.

Beck, J., Arnold, K., 1977. Parameter Estimation in Engineering and Science. Wiley, New York.

Beck, J., Clair, C. S., Blackwell, B., 1985. Inverse Heat Conduction: Ill-Posed Problems. Wiley, New York.

Bengtsson, L., Ghil, M., Källén, E., 1981. Dynamic Meteorology: Data Assimilation Methods. Springer, New York.

Birch, F., 1950. Flow of heat in the front range, colorado. Geological Society of American Bulletin 61, 567-630.

Blackmon, M., Lee, Y., Wallace, J., 1984. Horizontal structure of 500-mb height fluctuations with long, intermediate and short-time scales. Journal of the Atmospheric Sciences 41 (6), 961-979.

Boike, J., Roth, K., 1997. Time domain reectometry as a field method for measuring water content and soil water electrical conductivity at a continuous permafrost site. Permafrost and Periglacial Processes 8, 359-370.

Carslaw, H., Jaeger, J., 1959. Conduction of heat in solids. Oxford Univ. Press, London.

Carson, J., 1963. Analysis of soil and air temperatures by fourier techniques. Journal Geophysical Research 68, 2217-2232.

Da-Xin, L., 1986. Non-linear fitting method of finding equilibrium temperature from bht data. Geothermics 15, 657-664.

Dalhuijsen, A., Segal, A., 1986. Comparison of finite element techniques for solidification problems. Int.j .numer.methods eng. 23, 1807-1829.

de Vries, D., 1963. W.R. van Wijk (editor) Physics of the plant environment. North-Holland, Amsterdam, Ch. Thermal Properties of Soils.

Duchateau, P., 1996. Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology. Kluwer, Dordrecht.

Fletcher, R., 2000. Practical methods of optimization. John Wiley & Sons.

Galushkin, Y., 1997. Numerical simulation of permafrost evolution as a part of sedimentary basin modeling: permafrost in the pliocene-holocene climate history of the urengoy field in the west siberian basin. Canadian Journal of Earth Sciences 34, 935-948.

Gardner, W., 1986. Methods of Soil Analysis, Part 1: Physical and Mineralogical Methods, 2nd Edition. American Society of Agronomy, Soil Science Society of America, Madison, WI, Ch. Water content, pp. 493-544.

Ghil, M., Malanotte-Rizzoli, P., 1991. Data assimilation in meteorology and oceanography. Advances in Geophysics 33, 141-266.

Gladwell, G., 1993. Inverse Problems in Scattering: An Introduction. Kluwer, Dordrecht.

Herzen, R. V., Maxwell, A., 1959. The measurement of thermal conductivity of deep-sea sediments by a needle-probe method. Jounral Geophysical Research 64, 1557-1563.

Hinkel, K. M., 1997. Estimating seasonal values of thermal diffusivity in thawed and frozen soils using temperature time series. Cold Reg. Sci. Technol. 26, 1-15.

Hinzman, L., Kane, D., Gleck, R., Everett, K., 1991. Hydrological and thermal properties of the active layer in the alsakan arctic. Cold Region Science and Technology 19, 95-110.

Hurley, S., Wiltshire, R. J., 1993. Computing thermal diffusivity from soil temperature measurements. Comput. Geosci. 19, 475-477.

Jarny, Y., Özisik, M., Bardon, J., 1991. General optimization method using adjoint equation for solving multidimensional inverse heat conduction. International Journal Heat and Mass Transfer 34 (2911-2919).

Kane, D., Hinkel, K., Goering, D., Hinzman, L., Outcalt, S., 2001. Non-conductive heat transfer associated with frozen soils. Global and Planetary Change 29, 275-292.

Kersten, M., 1949. Thermal properties of soils. Bulletin 28, University of Minnesota, Engineering Experiment Station.

Kudryavtsev, V., 1978. Obshcheye merzlotovedeniya (General permafrost science). Moscow University Editions, Moscow, in Russian.

Lachenbruch, A., Marshall, B., 1986. Changing climate: geothermal evidence from permafrost in the alaskan arctic. Science 234, 689-696.

Lachenbruch, A., Sass, J., Marshall, B., Moses, T., 1982. Permafrost, heat flow, and the geothermal regime at prudhoe bay, alaska. Journal Geophysical Research 87 (B11), 9301-9316.

Lide, D., 1999. Handbook of Chemistry and Physics, 79th Edition. CRC.

Lovell, C., 1957. Temperature effects on phase composition and strength of partially frozen soil. Highway Res. Board Bull. 168, 74-95.

Lunardini, V., 1987. Freezing of soil with an unfrozen water content and variable thermal properties. CRREL Report 88-2, National Technical Information Service.

Marchuk, G., 1995. Adjoint equations and analysis of complex systems. Kluwer Academic Publication.

McGaw, R. W., Outcalt, S. I., Ng, E., 1978. Thermal properties of wet tundra soils at barrow, alaska. Proceedings of 3rd International Conference on Permafrost 1, 47-53, nat. Res. Counc. of Can., Ottawa,Canada.

Murio, D., 1993. The Mollification Method and the Numerical Solution of Ill-Posed Problems. Wiley, New York.

Muzylev, N. V., 1985. The uniqueness of a solution to an inverse nonlinear heat conduction problem. Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki 25, 1346-1352, in Russian.

Nagler, R., 1965. Transient techniques for determining the thermal conductivity of homogeneous polymeric materials at elevated temperatures. Journal of Applied Polymer Sciences 9, 801-819.

Nicolsky, D., Romanovsky, V., Tipenko, G., 2007. Estimation of thermal properties of saturated soils using in-situ temperature measurements. The Cryosphere 1, 41-58.

Osterkamp, T., Romanovsky, V., 1996. Characteristics of changing permafrost termperatures in the alaskan arctic, usa. Arctic and Alpine research 28, 267-273.

Osterkamp, T., Romanovsky, V., 1997. Freezing of the active layer on the coastal plain of the alaskan arctic. Permafrost and Periglacial Processes 8 (1), 23-44.

Ouyang, T., 1992. Analysis of parameter estimation heat conduction problems with phase change using the finite element method. International Journal for Numerical Methods in Engineering 33 (10), 2015-2037.

Panteleev, G., deYoung, B., Reiss, C., Taggart, C., 2004. Passive tracer reconstruction as a least squares problem with a semi-lagrangian constraint: an application to fish eggs and larvae. Journal of Marine Research 62, 787-814.

Pavlov, A., Permyakov, P., Stepanov, A., 1980. Determination of the thermophysical characteristics of alternatively freezing and thawing dispersed media by the method of solving inverse problems of heat conduction. Journal of Engineering Physics and Thermophysics 39, 885-889.

Permyakov, P., 2004. Methods of determining the characteristics of dispersed media at a phase transition. Russian Physics Journal.

Romanovsky, V., Osterkamp, T., 1995. Interannual variations of the thermal regime of the active layer and near-surface permafrost in northern alaska. Permafrost and Periglacial Processes 6, 313-335.

Romanovsky, V., Osterkamp, T., 1997. Thawing of the active layer on the coastal plain of the alaskan arctic. Permafrost and Periglacial processes 8, 1-22.

Romanovsky, V., Osterkamp, T., 2000. Effects of unfrozen water on heat and mass transport processes in the active layer and permafrost. Permafrost and Periglacial Processes 11, 219-239.

Romanovsky, V., Osterkamp, T., 2001. Permafrost: Changes and Impacts, in: R. Paepe and V. Melnikov (eds.). Kluwer Academic Publishers, Ch. Permafrost Response on Economic Development, Environmental Security and Natural Resources, pp. 297-315.

Sass, J., Lachenbruch, A., Munroe, R., 1971. Thermal conductivity of rocks from measurements on fragments and its application to heat-flow determinations. Journal of Geophysical Research 76 (14), 3391-3401.

Schröter, J., 1989. In D.L. Anderson and J. Willebrand, Oceanic Circulation Models: Combining Data and Dynamics. Kluwer Academic, Ch. Driving of nonlinear time dependent ocean models by observation of transient tracers - A problem of constrained optimization., pp. 257-285.

Silliman, S., Neuzil, C., 1990. Borehole determination of formation thermal conductivity using a thermal pulse from injected fluid. Journal of Geophysical Research 95 (B6), 8697-8704.

Somerton, W., 1992. Thermal properties and temperature-related behavior of rock/fluid systems. No. 37 in Developments in Petroleum Science. Elsevier, Amsterdam.

Thacker, W., 1989. The role of the hessian matrix in fitting models to measurements. Journal of Geophysical Research 94, 6177-6196.

Thacker, W., Long, R., 1988. Fitting dynamics to data. Journal of Geophysical Research 93 (2), 1227-1240.

Tikhonov, L., Leonov, A., 1996. Nonlinear Ill-Posed Problems. Vol. 14 of Applied Mathematics and Mathematical Computation Series. Chapman and Hall, London.

Topp, G., Ferre, P., 2002. Methods of Soil Analysis Part 4, Physical Methods. SSSA Book Series No. 5. Soil Science Society of America, Madison, WI, Ch. Water content, pp. 417-545.

Topp, G. C., Davis, J. L., Annan, A. P., 1980. Electromagnetic determination of soil water content: measurements in coaxial transmission lines. Water Resources Research 16, 574-582.

Watanabe, K., Mizoguchi, M., 2002. Amount of unfrozen water in frozen porous media saturated with solution. Cold Regions Science and Technology 34, 103-110.

Wilhelm, H., 1990. A new approach to the borehole temperature relaxation method. Geophysical Journal International 103 (2), 469-481.

Williams, P., 1967. Properties and behaviour of freezing soils. Tech. Rep. 72, Norwegian Geotechnical Institute.

Wunsch, C., 1996. The Ocean Circulation Inverse Problem. Cambridge University Press, Cambridge.

Yershov, E., 1998. General Geocryology. Cambridge University Press, New York.

Yoshikawa, K., Overduin1, P., Harden, J., 2004. Moisture content measurements of moss (sphagnum spp.) using commercial sensors. Permafrost and Periglacial Processes 15, 309-318.

Zhang, T., 1993. Climate, seasonal snow cover and permafrost temperatures in alaska north of the brooks range. Ph.d. dissertation, University of Alaska.

Zhang, T., Osterkamp, T. E., 1995. Considerations in determining the thermal diffusivity from temperature time series using finite difference methods. Cold Reg. Sci. Technol. 23, 333-341.

Zienkiewicz, O., Taylor, R., 1991. The finite element method, 4th Edition. Vol. 1,2. McGraw-Hill, London.

Copyright 2007-2008 - Permafrost Laboratory - All Rights Reserved