Saffman-Taylor Interfacial Karstification (达西渗流溶蚀指进与尖端分叉)

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CONCEPT

Contrasting with the dry martensitic twinning of the neighbouring plots, we simulate radial Saffman-Taylor viscous fingering through a soluble porous karst matrix under Darcy flow. Pressure gradients focus at high-curvature finger tips, driving autocatalytic tip-splitting and rhythmic Liesegang precipitation halos across the advancing meniscus.

LORE

The dry martensite sheets from adjacent shear terraces fractured under sudden hydrostatic injection. 溶蚀流体顺着相变裂隙压入碳酸盐骨架,黏性前沿在微孔隙介质中撕扯出复杂的指进网络。Where the local Darcy velocity spikes at sharp menisci, the brittle rock yields to runaway branching.

JOURNAL

Simulated radial Saffman-Taylor displacement coupled with matrix dissolution $K \propto \phi^3$ and curvature-dependent tip destabilization. The dynamic pressure solver avoids trivial DLA branching by maintaining a finite capillary length; tip-splitting emerges naturally at critical velocity gradients. The Liesegang precipitation concentric rings successfully stabilize the outer frame, keeping density around 0.395 with high edge activity (0.469) without over-concentrating dense glyphs (`█` capped at 0.18%).