THE MODEL COUPLING FLUID FLOW IN THE RESERVOIR WITH FLOW IN THE HORIZONTAL
WELLBORE .
Liu Xiangping et al.(Tsinghua University)
In this paper,the 3D
steady state pressure distribution of oil flow in a reservoir due to a horizontal well is derived for
several cases of common reservoir type and a new formula of calculating pressure drop along
the horizontal wellbore is also derived based on the principle of conservation of matter and
momentum theorem.The effect of influx into the horizontal wellbore from the reservoir on
pressure drop in the wellbore has been considered in the formula.A mathematical model
coupling fluid flow in the reservoir with the flow in the horizontal wellbore is developed and the
method for solving the model is presented.Example calculations showed that the precision of
calculating productivity using the model is high,that performance of the well can be influenced
by pressure drop in the horizontal wellbore,that the total well rate does not increase with
increasing well length for lengths exceeding a certain value and that production index per unit
length for every interval along horizontal well axis is not equal.
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