Author(s): K. Kosorin; P. Kuerak
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Keywords: No Keywords
Abstract: Estimating the groundwater flow dynamics on the basis of information from"in situ"observations we may proceed according to known(standard)methods intwo ways: i.In case of general three-dimensional flow in non-homogeneous medium it is necessary to determine(by means of measurement in discrete points)thefield of the pressure function P(x,y,z,t)=p/gP +y +const.,in whichp(x,y,z,t) is the pressure and y is the vertical coordinate of therespective point.If P(x,y,z,t)is known,then the dynamics of seepage flow i.e.the vector velocity field of flow q is the matter of numerical expression of the gradient P(q=-k grad P,see for instance 3]).ii.In a more simple case,when the filtration medium is homogeneous,andthe flow meets so called assumptions of shallow water(Dupuit, Boissinesq),the vertical flow component is neglected and the horizontal (constant alongthe vertical)velocity field may be approximately defined only from the course(regime)of free water surface z =h(x,y,t)of groundwater (q(x,y,t)=-kgrad.h).Since in situ water surface monitoring is much easier than monitoringof the variable pressure function P along the height,it is to be decided,whether the knowledge of the free water surface is not sufficient for thedetermination o 3-D velocity filtration field also in a general case,whenthe assumptions of the shallow water theory are not satisfied. Positive decision follows from the methodological consequencies of thehydrodynamic theory of boundaries [5].This method has been applied in thisstudy for determination of 3-D velocity field of steady seepage innon-homogeneous medium (along the vertical),when free water surface wascharacterized by isolines.
Year: 1993