Page 300 - Introduction to Petroleum Engineering
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288                                           RESERVOIR PERFORMANCE
           14.4   A reservoir flow model is a dynamic model.

           14.5   History matching calibrates the reservoir flow model.
           14.6   A reservoir flow model should not be used in the reservoir management
                    process if a field has no production history.

           14.7   Depletion of the Wilmington Field caused subsidence in the Long Beach area.
           14.8   History matching is an essential part of green field flow modeling.
           14.9   A realization is one representation of reservoir geology.
           14.10  From a business perspective, the objectives of a reservoir model study should
                  yield a solution to an economically important problem.

           14.6.3  Exercises

           14.1  A grid block in a reservoir flow model is 275 ft wide in the x‐direction, is
                 275 ft wide in the y‐direction, and has a gross thickness of 20 ft. What is the
                 bulk volume of the grid block in cubic feet?
           14.2  A.   Suppose a well is completed in a grid block with the following prop‑
                     erties:  length = width = 100 ft,  net  thickness = 15 ft,  and  porosity = 0.25.
                     What is the pore volume of the grid block in reservoir barrels? Note:
                     1 bbl = 5.6146 ft .
                                 3
                 B.  If the well is producing 500 RB/day of fluid, what percentage of the grid
                     block pore volume is being produced each day?
           14.3  A.   A reservoir is 10 mi. long and 6 mi. wide. Define a grid with
                     Δx = Δy = 1/10 mi. What is the number of grid blocks needed to cover the
                     areal extent of the reservoir?
                 B.  If five model layers are used, what is the total number of grid blocks in
                     the model?
           14.4  A.    If initial oil saturation is 0.7, residual oil saturation is 0.25, and pore
                     volume is 961 800 RB in a grid block, what is the volume of mobile oil
                     in the grid block? Express your answer in RB.
                 B.  If a well produces 500 RB oil/day from the block, how long does it take
                     to produce all of the mobile oil in the grid block?

           14.5  A.    A geologic model is built using a grid with 300 blocks in the x‐direction
                     and 400 blocks in the y‐direction based on seismic areal resolution and
                     35 blocks in the z‐direction based on well log analysis. How many grid
                     blocks are in the static geologic model?
                 B.  A flow model is upscaled from the geologic model using a grid with 150
                     blocks in the x‐direction, 200 blocks in the y‐direction, and 10 blocks in
                     the z‐direction. How many grid blocks are in the dynamic flow model?
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