By Bill J Mitchell
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Additional info for Advanced Oil Well Drilling Engineering
In interference testing at least two wells are used: one well (the “active” well) is put on production or injection, and in the second “observational” well the pressure changes are observed during production (injection) and shut-in of the first well. The pressure response in the “observational” well enables estimation of the thickness (h)—formation permeability (k) product (reservoir transmissivity) and the hydraulic diffusivity of formations (J). After the value of J is determined the formation porosity—total compressibility product can be estimated.
2016 by Taylor & Francis Group, LLC Designing an Interference Well Test in a Geothermal Reservoir 53 For r = R and t > tp ⎡ ⎛ D ⎛ D⎞ pi − pws ( R, t ) = M ⎢ − Ei ⎜ − ⎟ + Ei ⎜ − ⎜ ⎝ t ⎠ ⎢⎣ ⎝ t − tp ⎞⎤ ⎟⎟ ⎥ , ⎠ ⎥⎦ (7-4) where pws is the bottom-hole pressure at the “observational” well after shut-in of the “active” well. Below we will also show that the time derivative of pws can be utilized in designing an interference test. The differentiation of the last equation yields • pws ( R, t ) = ⎛ dpws M D = exp ⎜ − ⎜ dt t − tp ⎝ t − tp ⎞ M ⎛ D⎞ ⎟⎟ − exp ⎜ − ⎟ .
The reservoir, well and oil properties data are presented in Table 4-1. Table 4-1. Reservoir and well data for two oil wells (McDonald 1983). Well IS-21, PT-1. 21 Well IS-7, PT-1. 1 Oil well IS-21, PT-1 A pressure buildup test was conducted in this well; the duration of the shut-in period was 48 hours. Using the type-curve matching approach it was determined that the start of the Horner straight line to begin after approximately 30 hours shut-in time. As mentioned by McDonald (1983): “Therefore, the straight line drawn through the latetime data on the Horner plot (Figure 4-1), although not well defined, still should be correct Horner straight line”.