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Extra resources for Well Test Analysis of a Multilayered Reservior with Formation Crossflow-gPG

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The e ect of skin factors on the wellbore response are shown in Figs. 3. 3: Reservoir Parameters for Studies of the E ect of Skin Layer case A case B case C case D case E s 10 5 0 5 10 s 0 0 5 10 5 k = kv = 100 md k = kv = 10 md 1 2 1 1 2 2 Fig. 7 shows the wellbore pressure response, and Fig. 8 shows the wellbore pressure derivative curves for various combinations of skin factors for two layered systems. 1, wellbore pressure drops suddenly at early time (pD increases) when the more permeable layer has a larger skin.

The change of order will also change the values of the 's, the parameters representing cross
ow between layers, since each layer has di erent vertical permeability. These modi ed 's will a ect intermediate and late time response of the multilayered reservoir with cross
ow. The early time response does not change because the system is behaving like a commingled system. Fig. 6. 6: Reservoir Parameters for Studies of the E ect of the Order of the Layers Case k (md) k (md) k (md) s s s A 1000 10 1000 5 1 3 B 10 1000 1000 1 5 3 C 10 1000 1000 1 3 5 1 2 3 1 2 3 Considering that the heterogeneities in permeability are 100 fold, it may be said that there is little di erence in response among the three sample cases.

Hence the average skin changes with qjD and the wellbore pressure also change with s. qjD LT 1 1 CHAPTER 3. 8 Early Time Behavior As many authors have pointed out, the early time behavior of the cross
ow system is identical to that of the commingled system. However, Ehlig-Economides and Joseph (1985) were the rst to have proved it rigorously. The Laplace transformation of the pressure drop and the production rate from each layer in a commingled system, have been solved by Lefkovits, . (1961). Their solution is for a closed system and is in dimensional form.

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