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substituted in equation of connection, and that’s how
dimensional uniformity is achieved. We will show this on the
example of Darcy’s law.
Let’s suppose, without knowing the law, according to
which fluid moves through the reservoir, basing on practical
data it is possible to predict dependence of filtration rate υ on
the permeability coefficient k, dynamic viscosity coefficient μ
and pressure gradient grad p. Then dependence in the form of a
degree polynomial looks like:
  
  k  grad p 
or through dimension quantities:
 1 2   1  1   2  2 
LT  L (ML T ) (ML T ) .
Equations for parameters L, T, M are respectively:
  21    2

 1    2

 0    
From the system of equations we find, that
  , 1    , 1   . 1 Then:

1 k
  k grad p  grad p .

Task 2.2
By using appropriate ratios, determine dimensions of
physical quantities: area, power, volumetric flow rate of fluid,
hidroconduction, coefficient of well productivity.

3 Similarity of phenomena and processes. Criteria of
similarity

During the studies of exploitation of oil and gas fields,
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