Soumyajit Mukherjee, OT Manjusha

Improved carbon sequestration (CCS) models with rocks as sinks require incorporation of uncertainty into the models. In such cases of uncertain geoscientific problems, fuzzy graph theory can be useful. Brittle shear plane network with indistinct shear planes is common in natural sheared rocks, and can be targeted for CCS. Due to non-unique possibility of continuity of P-planes, it is not possible to represent such networks as crisp graphs. We present few natural examples of the former type of P-planes in shear zones, and how fuzzy graph theory can represent the fracture network and fluid flow. The process involves assigning some sample numerical probability to represent the connectedness between the underdeveloped P-planes and the Y-planes. The presentation is a geometric exercise and does not extend to the genesis of the shear zones.