Dissolution, precipitation, and chemical reactions between fluids and solids can slowly change the structure and composition of rocks-sometimes opening new pathways for fluid flow, and other times blocking existing ones. This creates a two-way feedback: the flowing fluid shapes the rock, and the evolving rock structure, in turn, affects how the fluid moves. These coupled processes play a key role in shaping porous materials over long timescales. To investigate this dynamic interplay between flow, transport, and reaction, we use a numerical model in which the porous medium is represented as a network of interconnected pipes, with their diameters evolving locally in response to reactant consumption. This setup allows us to explore various growth regimes, ranging from uniform transformation of the solid matrix to spontaneous channel formation. Remarkably, even when the precipitated phase has a larger molar volume than the dissolved one, the system can remain permeable thanks to the continuous creation of new flow paths. Our results highlight how coupled dissolution-precipitation processes can lead to self-organized structures that sustain transport despite the risk of clogging. These insights are particularly relevant for applications such as mineral carbonation, where maintaining permeability is crucial for long-term effectiveness.