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Title: Linear permeability evolution of expanding conduits due to feedback between flow and fast phase change: Linear Permeability Evolution of Conduit

Conduits are ubiquitous and critical pathways for many fluids relevant for geophysical processes such as magma, water, and gases. Predicting flow through conduits is challenging when the conduit geometry coevolves with the flow. We theoretically show that the permeability (k) of a conduit whose walls are eroding due to fast phase change increases linearly with time because of a self-reinforcing mechanism. This simple result is surprising given complex feedbacks between flow, transport, and phase change. The theory is congruent with previous experimental observations of fracture dissolution in calcite. Supporting computational fracture dissolution experiments showed that k only slightly increases until the dissolution front reaches the narrowest conduit constriction, after which the linear evolution of k manifests. Finally, the theory holds across multiple scales and a broad range of Peclet and Damkohler numbers and thus advances the prediction of dynamic mass fluxes through expanding conduits in various geologic and environmental settings
Authors:
ORCiD logo [1] ; ORCiD logo [1]
  1. Univ. of Texas, Austin, TX (United States). Geological Sciences
Publication Date:
Grant/Contract Number:
SC0001114
Type:
Accepted Manuscript
Journal Name:
Geophysical Research Letters
Additional Journal Information:
Journal Volume: 44; Journal Issue: 9; Journal ID: ISSN 0094-8276
Publisher:
American Geophysical Union
Research Org:
Univ. of Texas, Austin, TX (United States); Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; permeability; conduit; fracture; fluid flow; reactive transport; phase change
OSTI Identifier:
1465351
Alternate Identifier(s):
OSTI ID: 1389661

Wang, Lichun, and Cardenas, M. Bayani. Linear permeability evolution of expanding conduits due to feedback between flow and fast phase change: Linear Permeability Evolution of Conduit. United States: N. p., Web. doi:10.1002/2017GL073161.
Wang, Lichun, & Cardenas, M. Bayani. Linear permeability evolution of expanding conduits due to feedback between flow and fast phase change: Linear Permeability Evolution of Conduit. United States. doi:10.1002/2017GL073161.
Wang, Lichun, and Cardenas, M. Bayani. 2017. "Linear permeability evolution of expanding conduits due to feedback between flow and fast phase change: Linear Permeability Evolution of Conduit". United States. doi:10.1002/2017GL073161. https://www.osti.gov/servlets/purl/1465351.
@article{osti_1465351,
title = {Linear permeability evolution of expanding conduits due to feedback between flow and fast phase change: Linear Permeability Evolution of Conduit},
author = {Wang, Lichun and Cardenas, M. Bayani},
abstractNote = {Conduits are ubiquitous and critical pathways for many fluids relevant for geophysical processes such as magma, water, and gases. Predicting flow through conduits is challenging when the conduit geometry coevolves with the flow. We theoretically show that the permeability (k) of a conduit whose walls are eroding due to fast phase change increases linearly with time because of a self-reinforcing mechanism. This simple result is surprising given complex feedbacks between flow, transport, and phase change. The theory is congruent with previous experimental observations of fracture dissolution in calcite. Supporting computational fracture dissolution experiments showed that k only slightly increases until the dissolution front reaches the narrowest conduit constriction, after which the linear evolution of k manifests. Finally, the theory holds across multiple scales and a broad range of Peclet and Damkohler numbers and thus advances the prediction of dynamic mass fluxes through expanding conduits in various geologic and environmental settings},
doi = {10.1002/2017GL073161},
journal = {Geophysical Research Letters},
number = 9,
volume = 44,
place = {United States},
year = {2017},
month = {5}
}