Pete 401 Exam 1 Questions & Answers 2024/2025
One way to derive an explicit approximation of the reservoir simulation equation is to use central differences for spatial derivatives, and forward differences for time derivatives. - ANSWERSTrue, Blah
A Material Balance Model for a Volumetric U...
One way to derive an explicit approximation of the reservoir simulation equation is to use central
differences for spatial derivatives, and forward differences for time derivatives. - ANSWERSTrue, Blah
A Material Balance Model for a Volumetric Undersaturated Oil Reservoir neglects reservoir flow effects
and assumes constant permeability - ANSWERSFalse, it...
Because the Partial Differential Equation (PDE) of the reservoir simulation flow equation is non-linear,
you have to what use what type of procedure to solve it. - ANSWERSIterative, this is...
A consequence of discretization is that the reservoir is sub-divided into - ANSWERSBoth spatial and
temporal units, becuase
The finite-difference form of the simulation equation becomes what that can be solved easily -
ANSWERSAn Algebraic equation, this is due to
One advantage of the Explicit Formulation is unstable error growth for larger values of delta t (change in
time) - ANSWERSFalse,
Which of the following are valid finite difference methods? - ANSWERSForward Difference, Backward
Difference, Central Difference.
The Partial Differential Equation (PDE) used to model reservoir flow is non-linear. This is because some of
the coefficients of the derivative (dp/dx) are function of p. - ANSWERSTrue,
Which method is used to approximate the partial differential equation of reservoir flow - ANSWERSFinite
Difference,
, A stable model means the error growth rate is constant, while an unstable model means you have
exponential error growth. - ANSWERSTrue
Which of the following is an advantage of the Explicit Formulation - ANSWERSThe Solution is quick and
easy (due to), There is only one unknown at each level (Blah), and it can be solved explicitly in terms of
known pressures at the known time, tn. (Blah)
One advantage of the implicit formulation of the PDE for reservoir simulation is that it is unconditionally
stable for all delta x (change in x) - ANSWERSFalse, blah
The consequences of discretization include which of the following - ANSWERSTruncation Error (blah),
Roundoff Error (blah), Stability (blah)
One way to derive an explicit approximation of the reservoir simulation equation is to use central
differences for spatial derivatives, and forward differences for time derivatives - ANSWERSTrue, blah
One advantage of the Explicit Formulation is unstable error growth for larger value of delta t (change in
time) - ANSWERSFalse, blah
Although direction solution methods solve all unknowns in a single pass, roundoff error can be a
problem for large sets of equations - ANSWERSTrue, blah
Roundoff error arises from the use of computers to solve flow equations - ANSWERSTrue, blah
A stable Model means the error growth is constant, while an unstable model means you have
exponential error growth - ANSWERSTrue, blah
Stability is a joint property of the differential equation and the solution method. Which of the following -
ANSWERSInstability is a feedback process, where errror feed on errors in the numerical solution
The implicit approximation of the reservoir simulation PDE uses the same finite differencing scheme as
the explicit formulation. - ANSWERSFalse, blah
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