Measuring
tight-rock properties, in particular, permeability, is
very important in a wide range of engineering applications from radioactive
waste disposal and CO2 storage to production from unconventional
hydrocarbon reservoirs. The steady-state method of permeability measurement
is currently known to be impractical for tight rocks due to the long
time needed to reach stabilized pressure and flowrate. In contrast
to experimental results, the diffusivity equation predicts the steady
state to happen much faster when a constant injection flowrate is
used as a boundary condition. In this paper, we investigate the reason
behind the inconsistency between the modeled and measured equilibrium
time. We modify the boundary condition of the diffusivity equation
based on an analogy from the well-testing models. We propose a semi-analytical
solution for a more general diffusivity equation with a modified boundary
condition. The results show that the main reason that makes the steady-state
method time-consuming is the accumulator “storage effect”.
When dealing with low-permeability rocks, the compressibility-induced
flowrate, which is pressure-dependent, could be in the order of pump
flowrate and makes the permeability measurement time-consuming. We
modify the conventional coreflooding device to reduce the time of
permeability measurement, making the steady-state method practical
for tight-rock samples. The modified device is used to measure the
permeability of a tight-rock sample, and the model can match the measured
data with a very good accuracy. Reducing the volume of the accumulator
vessel from 500 cc to around 10 cc causes a 50-fold decrease in the
time required for steady-state establishment.