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Description
We have simulated a one dimensional capillary fiber bundle model with fracking events while acted between a certain pressure gradient. The hydraulic fractures are incorporated through a dynamic threshold corresponding to each tube that decreases with each fracking event, which are stochastic in nature and replicates the increase in pore space. An increment in flow rate is evident through the evolved rheology we observe in our study. Analytical approaches for certain limits are adopted to understand the rheology which matches well with the numerical results. The total volume flux of liquid increases with pressure gradient as well as the fracking amplitude. This combined with the
early onset of linear Darcy flow increases the quality of the fluid extraction. We successfully point towards an optimum pressure gradient at which the fracking events are most effective - maximum fluid extracting with a maximum rate. We have also explored the local flow rates and the fluctuation within in order to correlate them with the global rheology. The maximum fluctuation in flow rates for a single configuration can be connected to to the global non-linear to Darcy transition point reducing the computational cost extensively. Moreover, the relative change in Shannon entropy with respect to the fracking amplitude points towards the pressure associated with the maximum extractivity. An extension of this work in relatively complicated and realistic model like dynamic pore network model can be really useful to connect the fracking events with the industry scale.
| References | 1. Anjali Vajigi and Subhadeep Roy, Dynamics of active paths during two-phase flow through the capillary fiber bundle model, Phys. Rev. E 111, 065102 (2025). 2. Subhadeep Roy, Santanu Sinha, Alex Hansen, Effective Rheology of Two-Phase Flow in a Capillary Fiber Bundle Model, Front. Phys. 7, 00092 (2019). |
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| Country | India |
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