Abstract
The problems of flow and transport in porous media present many fascinating challenges to students of mechanics: and it is surprising that, over the years, these questions have received relatively little attention at the Congresses and Symposia of IUTAM and of its predecessors. The 1964 Grenoble Symposium (Kravtchenko and Sirieys 1966) touched on certain special aspects and the 1966 Vienna Symposia (Parkus and Sedov 1968) had some relevance; but the first specific involvement of the Union with flow in porous media was a useful but limited meeting, sponsored jointly by IUTAM and IUGG, at Calgary in 1971.
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References
Benjamin, T. B., Mahony, J. J.: J. Fluid Mech. 49 (1971) 385–390.
Blasius, H.: Z. Math. u. Phys. 56 (1908) 1–37.
Bolt, G. H.: Geotechnique 6 (1956) 86–93.
Boltzmann, L.: Ann. Phys. (Leipzig) 53 (1894) 959–964.
Braester, C., Dagan, G., Neuman, S., Zaslavsky, D.: A survey of the equations and solutions of unsaturated flow in porous media. Rep. Hydrodynamics Hydr. Eng. Lab., Technion, Israel (1971).
Buckingham, E.: U.S. Dept. Agr. Bur. Soils Bull. 38 (1907).
—: Phys. Rev. Ser. 2, 4 (1914) 345–376.
Burgers, J. M.: Adv. Appl. Mech. 1 (1948) 171–199.
Childs, E. C.: Soil Sci. 97 (1964) 173–178.
—, George, N. C.: Disc. Faraday Soc. 3 (1948) 78–85.
—, Collis-George, N.: Advan. Agron. 2 (1950) 233–272.
—: Proc. Roy. Soc. A 201 (1951) 392–405.
Cole, J. D.: Proc. 6th U.S. Nat. Congr. Appl. Mechs. (1970). 3–10
Coleman, J. D., Croney, D.: Road Res. Lab. Note RN/1709/JDC.DC (unpublished) (1952).
Collis-George, N.: Soil Sci. 91 (1961) 306–311.
Cowan, I. R.: J. Appl. Ecol. 2 (1965) 221–239.
Croney, D., Coleman, J. D., Bridge, P. M.: Road Res. Tech. Paper 24 (1952).
Day, P. R., Luthin, J. N.: Soil Sci. Soc. Amer. Proc. 20 (1956) 443–447.
Drake, R. L. Ellingson, N. B.: J. Comp. Phys. 6 (1970) 200–218.
Edlefsen, N. E., Anderson, A. B. C.: Hilgardia 16 (1943) 31–299.
Fried, J. J., Combarnous, M. A.: Adv. Hydroscience 7 (1971) 169–182.
Gardner, W. R.: Soil Sci. 89 (1960) 63–73.
Gersevanov, N.M.: The foundations of dynamics of soils. Stroiizdat: Moscow-Lsningrad, 3rd Ed. (1937).
Green, W. H., Ampt, G. A.: J. Agr. Sci. 4 (1911) 1–24.
Groenevelt, P. H., Bolt, G. H.: Soil Sci. 113 (1972) 238–245.
Hartley, G. S., Crank, J.: Trans. Faraday Soc. 45 (1949) 801–818.
Hill, D.E., Parlange, J.-Y.: Soil Sci. Soc. Amer. Proc. 36 (1972) 697–702.
Holmes, J. W., Taylor, S. A., Richards, S. J.: pp. 275 — 303 of Irrigation of Agricultural Lands (eds. Hagen, R. M., Haise, H. R., Edminster, T. W.): Amer. Soc. Agronomy, Madison (1967).
Howarth, L.: Proc. Roy. Soc. A 164 (1938) 547–579.
Keen, N. A.: The physical properties of the soil. London: Longmans (1931).
Kirchhoff, G.: Vorlesungen über die Theorie der Wärme. Leipzig: Barth (1894).
Klute, A.: Soil Sci. 73 (1951) 105–116.
Knight, J. H., Philip, J. R.: On solving the unsaturated flow equation: 2. Critique of Parlange’s method. Soil. Sci. (in press) (2974).
Kravtchenko, J., Sirieys, P. M.: (eds).IUTAM Symposium Grenoble Berlin: Springer (1966).
Lane, W. R., Green, H. L.: pp. 162 — 215 of Surveys in Mechanics (eds.: Batchelor, G. K., Davies, R. M.). Cambridge: University Press (1956).
Lighthill, M. J.: pp. 250–251 of Surveys in Mechanics (eds. Batchelor, G. K., Davies, R. M.). University Press: Cambridge (1956).
Macey, R. I.: Bull. Math. Biophys. 21 (1959) 19–32.
McNabb, A.: Q. Appl. Math. 17 (1960) 337–347.
Mahony, J. J.: Bull. Australian Math. Soc. 7 (1972) 77–89.
Marshall, T. J.: Relations between water and soil. Commonwealth Agricult. Bureau: Farnham Royal (1959).
Miller, E. E., Klute, A: pp. 209–244 of Irrigation of Agricultural Lands (eds.: Hagen, R., M. Haise, H. R., Edminster, T. W). Amer. Soc. Agronomy: Madison (1967).
Miller, E. E., Miller, R. D.: J. Appi. Phys. 27 (1956) 324–332.
Molière (Poquelin, J. B.): Le Bourgeois gentilhomme. Paris: Le Monnier 1671.
Moore, R. E.: Hilgardia 12 (1939) 383–426.
Parkus, H., Sedov, L. I.: (eds.) IUTAM Symposium Vienna. Wien: Springer (1968).
Parlange, J.-Y.: Soil Sci. Ill (1971a) 134–137
—: Soil Sci. Ill (1971b) 170–174.
—: Soil Sci. 112 (1971c) 313–317.
Philip, J. R.: J. Inst. Engrs. Australia 26 (1954) 255–259.
—: Proc. Natn. Acad. Sci. India (Allahabad) 24A (1955a) 93–104.
—: Trans. Faraday Soc. 51 (1955b) 885–892.
—: Proc. 3rd. Int. Congr. Irrig. Drainage, San Francisco 8.125–8.154 (1957a).
—: Australian J. Phys. 10 (1957b) 43–53.
—: Soil Sci. 83 (1957c) 345–357.
—: Soil Sci. 83 (1957d) 435–448.
—: Soil Sci. 84 (1957e) 163–178.
—: Soil Sci. 84 (1957f) 257–264.
—: Soil Sci. 84 (1957g) 329–339.
—: J. Meteorology 14 (1957h) 354–366.
—: Proc. 2nd Australian Conf. Soil Sci. 1 (1957i) 63.1–63.9.
—: Trans. Amer. Geophys. Un. 38 (1957j) 782–784.
—: Soil Sci. 85 (1958a) 278–286.
—: Soil Sci. 85 (1958b) 333–337.
—. spec. Rep. Highway. Res. Board, Washington 40 (1958c) 147–163.
—: Australian J. Phys. 13 (1960) 1–12.
—: Symposium Wageningen, UNESCO 1 (1966a) 503–525.
—: Symposium Wageningen, UNESCO 2 (1966b) 559–564.
—: Symposium Wageningen, UNESCO 1 (1966c) 471–478.
—: Review No. 1457. Appi. Mech. Rev. 21 (1968a) 205.
—: Australian J. Soil Res. 6 (1968b) 1–19.
—: Australian J. Soil Res. 6 (1968c) 21–30.
—: Australian J. Soil Res. 6 (1968d) 249–267.
—: Water Resources Res. 4 (1968e) 1039–1047.
—: Adv. Hydroscience 5 (1969a) 214–296.
—: Australian J. Soil Res 7 (1969b) 99 — 120.
—: Australian J. Soil Res. 7 (1969c) 121–141.
—: Water Resources Res. 5 (1969d) 1070–1077.
—: pp. 25–48 of Circulatory and Respiratory Mass Transport. Symposium Ciba Fdn. (eds. Wolstenholme, G.E.W., Knight, J.) London: Churchill (1969e).
—: Australian J. Soil Res. 7 (1969f) 213–221.
—: Soil Sci. 109 (1970a) 294–298.
—: Ann. Rev. Fluid Mech. 2 (1970b) 177–204.
—: Water Resources Res. 6 (1970c) 1248–1251.
—: pp. 95 —107 of Salinity and Water Use (eds. Talsma, T, Philip, J. R.). London: Macmillan (1971a).
—: Soil Sci. Soc. Amer. Proc. 35 (1971b) 867–871.
—: Soil Sci. 113 (1972a) 294–300.
—: ZAMP 23 (1972b) 353–372.
—: ZAMP 23 (1972c) 960–968.
—: Soil Sci. Soc. Amer. Proc. 36 (1972d) 268–273.
—: Proc. 8th Int. Congr. Irrig. Drainage, Varna. C.13-C.28 (1972e).
—: On solving the unsaturated flow equation: 1. The flux-concentration relation. Soil Sci. (in press) (1973).
—, Knight, J. H.: On solving the unsaturated flow equation: 3. New quasi-analytical technique. Soil Sci. (in press) (1974).
—, de Vries, D. A.: Trans. Amer. Geophys. Un. 38 (1957) 222–232.
—, Smiles, D. E.: Australian J. Soil Res. 7 (1969) 1–19.
Pohlhausen, K.: ZAMM 1 (1921) 252–268.
Polubarinova-Kochina, P. Ya.: Theory of Ground Water Movement. Gosizdat. Tekhn.-teor. Liter.: Moscow 1952.
Prager, S.: J. Chem. Phys. 21 (1953) 1344–1347.
Raats, P. A. C.: Development of equations describing transport of mass and momentum in porous media, with special reference to soils. Doctoral thesis, Univ. of Illinois 1965.
—: Soil Sci. Soc. Amer. Proc. 34 (1970) 709–714.
—: Soil Sci. Soc. Amer. Proc. 35 (1971) 689–694.
—: Soil Sci. Soc. Amer. Proc. 36 (1972) 399–401.
Richards, L. A.: Physics 1 (1931) 318–333.
—: Soil Sci. 68 (1949) 95–112.
—: Desert Research. Res. Council Israel Spec. Rep. 2 (1965) 523–546.
Rose, C. W.: Agricultural Physics. London: Pergamon Press 1966.
— Stern, W. R., Drummond, J. E.: Australian J. Soil Res. 3 (1965) 1–9.
Schofield, R. K.: Trans. 3rd Congr. Soil Sci. 1 (1935a) 30–33.
—: Trans. 3rd Int. Congr. Soil Sci. 2 (1935 b) 37–48.
Scotter, D. R., Raats, P. A. C.: Soil Sci. 109 (1970) 170–178.
Sedov, L. I.: A Course in Continuum Mechanics, Vol. 1. Groningen: Wolters-Noordhof (1971).
Smiles, D. E., Rosenthal, M. J.: Australian J. Soil Res. 6 (1968) 237–248.
Staple, W. J., Lehane J. J.: Canadian J. Agr. Sci. 34 (1954) 329–342.
Taylor, G. I.: Proc. Roy. Soc. A 84 (1910) 371–377.
Terzaghi, K.: Sitzb. Akad. Wiss. Wien. Abt 2 a, 132 (1923) 125–138.
Truesdell, C., Noll, W.: The non-linear field theories of mechanics. Handbuch der Physik III/3. Berlin: Springer (1965).
Van Dyke, M.: Perturbation Methods in Fluid Mechanics. New York: Academic Piess (1964).
Vries, D. A. de: Trans. Amer. Geophys. Un. 39 (1958) 909–916.
Philip, J. R.: J. Geophys. Res. 64 (1959) 386–388.
Whisler, F. D., Watson, K. K.: J. Hydrol. 6 (1968) 277–296.
Wooding, R. A.: Water Resources Res. 4 (1968) 1259–1273.
Yuster, S. T.: Proc. 3rd World Petroleum Congr. The Hague II (1951) 437–445.
Zaslavsky, D.: Soil Sci. 106 (1968) 358–362.
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Philip, J.R. (1973). Flow in porous media. In: Becker, E., Mikhailov, G.K. (eds) Theoretical and Applied Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65590-6_18
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