Speaker
Description
We will build upon two recently developed methods of non-Newtonian porosimetry: Based on the capillary-bundle idealization of porous medium (an oversimplification, which can hopefully be relaxed later), the yield-stress method (YSM) and the so-called ANA method determine the functional pore size distribution (fPSD) of porous medium using a set of saturated flow experiments with non-Newtonian fluids, namely the yield-stress or shear-thinning fluids. While these methods have been established in the natural setting of uniform unidirectional flows, we will discuss implications of considering steady radial flow instead, similarly to the flow generated by borehole injection.
After providing a unified formulation for both methods, reviewing their principles and differences, we will discuss the corresponding inverse problems for steady radial flows. While the ANA method (for power-law fluids) can be generalized directly to this case, the same is not possible for fluids of more complex rheology. Nevertheless, a simplified numerical strategy can still be attempted. For Herschel–Bulkley fluids, while the full analogy of the approach used in the YSM is not possible, we have proposed and implemented a simplified radial-flow yield-stress method and demonstrated a successful fPSD inversion using simulated observation data. This encourages a further research in various directions...
| Country | Czechia |
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