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ABSTRACT
We solve the problem of water flow into a soil cavity, as an auger hole or any cylindrically shaped hole, e.g., a vertical root hole or a large circular pit, in a surrounding water-saturated, homogeneous, porous medium. We consider the top boundary of the saturated flow medium to be a water table, with the assumption that drawdown of the water table about the auger hole during flow is small. We consider flow when (i) there is an impermeable barrier at a finite distance below the auger hole and (ii) there is an artesian source at a finite distance below the auger hole. By letting the finite distance become large in (i) and (ii) we solve the problem of a finite auger hole in a medium of infinite depth. The analysis yields, both for finite depth of soil below the auger hole and infinite depth of soil below the auger hole, a table of shape factors C. When a shape factor C is multiplied by an observed rate of rise of water in the hole, the multiplication gives the hydraulic conductivity of the soil. We compare our work, when applicable, with that of others. Our C values agree in the main with earlier C values for their limited range.
1 Journal Paper no. J-6752 of the Iowa Agr. & Home Econ. Exp. Sta., Ames, Iowa, Project no. 1653. Supported, in part, with funds provided by the National Science Foundation, Grant no. GK-4012 and in part by the Office of Water Resources Research, under Public Law 88-379. Presented, in part, before Div. S-1, Soil Science Society of America, New Orleans, La., November 1968, and Detroit, Mich., November 1969.
2 Former Research Assistant, and Professor of Agronomy and Physics, Iowa State Univ., Ames, Iowa. The senior author is now at the Dept. of Agronomy, Univ. of Illinois, Urbana.
Received for publication October 16, 1970. Accepted for publication February 2, 1971.
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