02 - Hydraulically Fractured Wells

02 - Hydraulically Fractured Wells - Hydraulically...

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Hydraulically Fractured Wells 1
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Hydraulically Fractured Wells 2
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Hydraulically Fractured Wells 3
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Hydraulically Fractured Wells 6 During fracture linear flow, the pressure transient is moving down the length of the fracture. The pressure transient has not moved into the reservoir. The pressure transient has not yet reached the end of the fracture.
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Hydraulically Fractured Wells 7 The pressure drop for fracture linear flow is given by the first equation. Since the pressure drop for linear flow is proportional to the square root of time, on a log-log diagnostic plot, both the pressure and the pressure derivative response during fracture linear flow will appear as straight lines with a slope of 1/2. Fracture linear flow lasts until a dimensionless time given by the second equation. Fracture linear flow occurs at times that are too early to have any practical application.
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Hydraulically Fractured Wells 8 Bilinear flow occurs only for low conductivity fractures, where C r < 100. During bilinear flow, the pressure transient is simultaneously moving down the length of the fracture and out into the formation. The pressure transient has not yet reached the end of the fracture.
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Hydraulically Fractured Wells 9 The pressure drop for bilinear flow is given by the first equation. Since the pressure response during bilinear flow is proportional to the 4th root of time, on a log-log diagnostic plot, both the pressure and the pressure derivative response during bilinear flow will appear as straight lines with a slope of 1/4. The duration of bilinear flow depends on the dimensionless fracture conductivity. The final three equations shown here may be used to estimate the duration of bilinear flow. From data in the bilinear flow period, the fracture conductivity wk f may be estimated if the formation permeability k is known. Data in the bilinear flow period cannot be used to estimate fracture half-length, except perhaps to place a lower bound on L f .
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Hydraulically Fractured Wells 10 Formation linear flow occurs only in high-conductivity fractures, where C r > 100. In formation linear flow, the pressure transient is moving linearly
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02 - Hydraulically Fractured Wells - Hydraulically...

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