Xu, Tingting, Shen, Xianda, Reed, Miles, West, Nicole, Ferrier, Ken L., and Arson, Chloé
This paper presents a new model for anisotropic damage in bedrock under the combined influences of biotite weathering, regional stresses, and topographic stresses. We used the homogenization theory to calculate the mechanical properties of a rock representative elementary volume made of a homogeneous matrix, biotite inclusions that expand as they weather, and ellipsoidal cracks of various orientations. With this model, we conducted a series of finite element simulations in bedrock under gently rolling topography with two contrasting spatial patterns in biotite weathering rate and a range of biotite orientations. In all simulations, damage is far more sensitive to biotite weathering than to topographic or regional stresses. The spatial gradient of damage follows that of the imposed biotite weathering rate at all times. The direction of micro‐cracks tends to align with that of the biotite minerals. Relative to the topographic and regional stresses imparted by the boundary conditions of the model, the stress field after 1,000 years of biotite weathering exhibits higher magnitudes, wider shear stress zones at the feet of hills, more tensile vertical stress below the hilltops, and more compressive horizontal stress concentrated in the valleys. These behaviors are similar in simulations of slowing eroding topography and static topography. Over longer periods of time (500 kyr), the combined effects or weathering and erosion result in horizontal tensile stress under the hills and vertical tensile stress under and in the hills. These simulations illustrate how this model can help elucidate the influence of mineral weathering on Critical Zone evolution. Plain Language Summary: In bedrock, stresses are generated through a combination of chemical weathering, topography, and tectonic forces. Together, these disaggregate minerals and redistribute stress, thereby damaging the rock. In this study, we focus on the sensitivity of rock damage to the weathering of biotite, which expands as it weathers and pushes on the surrounding minerals. We propose a micro‐mechanical model in which small cracks grow in response to biotite weathering. The mechanical properties of the bulk rock are obtained by homogenization. With this model, we conducted a series of finite element simulations in bedrock under gently rolling topography, two contrasting spatial patterns in biotite weathering rate, and a range of biotite orientations. In our simulations, the spatial distribution of rock damage always follows that of biotite weathering. This shows that crack growth is far more sensitive to biotite weathering than to the topographic or regional stresses applied in these simulations. These simulations also highlight the importance of the direction of the biotite minerals relative to the regional stress field. Together, these simulations show that biotite weathering is capable of dominating the development of bedrock damage. More generally, these simulations show that the proposed model can be used as a tool to explore the influence of mineral weathering on Critical Zone evolution. Key Points: We present a new model for anisotropic rock damage under the influences of biotite weathering, regional stresses, and topographic stressesSimulations show that under common topographic and tectonic conditions, microcrack propagation can be far more sensitive to biotite weathering than far‐field stressesBiotite weathering produces shear stress zones at the bottom of hillslopes, vertical tension below hilltops and horizontal compression in valleys [ABSTRACT FROM AUTHOR]