MODEL OF WATER INFLUX TO A PERFECT
WELL WITH ALLOWANCE FOR THE WATER
LOSS BY THE OVERLYING CLAY LAYER

N. B. Pleshchinskii, M. G. Khramchenkov,
and É. M. Khramchenkov

UDC 552.52,624.131.54

Consideration is given to a mathematical model of water 
influx to a perfect well drilling in a homogeneous water-bearing stratum. 
The novelty of the problem is in the method of allowing for the additional 
water influx from the overlying swelling clay layer to the stratum. 
The model of water loss by a swelling clay layer, proposed by the 
authors earlier, is used for calculation of the water influx. This 
model is based on the generalization of filtration-consolidation theory 
to the case where the mass of the solid phase of a porous skeleton 
changes due to the fluid crossflow during the processes of swelling 
and shrinkage under the action of osmotic pressure.

Scientific-Research Institute of Mathematics and Mechanics, 
Kazan' State University, 17 Universitetskaya Str., Kazan', 420008, 
Russia; email: Maxim.Khramchenkov@ksu.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 80, No. 3, pp. 81-85, May-June, 2007. Original 
article submitted October 3, 2005; revision submitted May 18, 2006.