1 2 Journal of Geophysical Research – Solid Earth 3 Supporting Information for 4 Intraplate rotational deformation induced by faults 5 Neta Dembo1,2, Yariv Hamiel2, Roi Granot1 6 7 8 1Department of Geological and Environmental Sciences, Ben-Gurion University of the Negev, Beer-Sheva, Israel, 2Geological Survey of Israel, Jerusalem, Israel. 9 10 11 12 13 14 Contents of this file 15 Introduction 16 17 18 The supporting information presented in Text S1 discusses the robustness of our elastic modeling approach Text S2 provides a detailed description of the interseismic modeling parameters and results. 19 20 Figure S1 provides a comparison between the rotational patterns predicted by an elastic halfspace solution to those of both elastic and elasto-plastic finite element models. 21 22 Figure S2 provides the same figures as in figure 2a-b in the main article, but for a right lateral strike-slip fault. 23 24 25 Figure S3 provides 40Ar/39Ar step heating results used to determine basalt ages. Dating measurements and analysis were performed by the New Mexico Geochronological Research Laboratory at the New Mexico Institute of Mining and Technology. Text S1 and S2 Figures S1 to S3 26 27 28 29 30 31 32 33 1 34 Text S1. 35 To assess the viability of our elastic modeling approach we compared the results of the long- 36 term rotational patterns predicted by an elastic half-space solution to the results of both elastic 37 and elasto-plastic finite element models. 38 We modeled a synthetic left-lateral strike slip fault extending to a length of 100 km using a slip 39 rate of 2.5 mm/yr. The elastic half-space solution was modeled using a Poisson ratio of 0.25 40 and given a fault extending from the surface downwards to a depth of 1000 km (in order to 41 mimic infinite fault width). The finite element modeling is done using COMSOL commercial 42 software. The computational domain that mimics the lithosphere used for the finite element 43 models has a size of 200 x 200 x 100 km3 with element length of ~2 km near fault and 44 increasing towards the block boundaries. Boundary conditions include tangential 45 displacements at the outermost lateral boundaries, which are parallel to the fault, and zero 46 displacement at the bottom of the block. A Poisson ratio of 0.25 and a Young’s modulus of 75 47 Mpa are used for the elastic finite element model. The same elastic moduli are used in the 48 elasto-plastic model until a yield stress of 150 MPa. After this yield stress an effective Young’s 49 modulus of 25 Mpa is defined. 50 Comparison between the deformation fields predicted by the three models resulted in similar 51 rotation patterns (Figure S1). Therefore, the results from our synthetic modeling suggest that 52 our approach using an elastic half-space dislocation model can be used to simulate patterns of 53 permanent deformation near faults. 54 55 2 56 57 58 Text S2. 59 rate of 4.9 mm/yr (in the range of 3.8-4.9 mm/yr) and locking depth of 15.9 km (in the range of 60 14.1-15.9 km) along the DSF segment found south of the junction with the CGFS (Figure 8) to a 61 slip rate of 3.8 mm/yr (in the range of 3.8-4.9 mm/yr) and locking depth of 14.1 km (in the range 62 of 14.1-15.9 km) along the DSF segment north of this junction. Due to small number of GPS 63 stations in the eastern side of this junction, we cannot point to an exact location where this 64 change in slip occurs, also we cannot rule out the idea that this transition is gradual. Our best fitting interseismic model for the DSF in northern Israel shows a decrease from a slip 65 66 Our study confirms Sadeh et al. [2012] slip rate of 1.1±0.4 mm/yr along the Carmel Fault, which 67 is also consistent with the decrease in slip along the DSF (slip direction is in azimuth of ~6˚). We 68 infer a best fitted locking depth of 5 km (in the range of 5-15 km) for this fault. The model also 69 indicates a locking depth of 5 km (in the range of 5-15 km) along the Gilboa Fault together with 70 a slip rate of 0.75±0.75 mm/yr (slip direction in azimuth of ~31˚), which is in agreement with 71 geological slip rates reported for this fault by Hatzor and Reches [1990]. 72 73 Based on our modeling, interseismic rotations are relatively insensitive to locking depths 74 confined between 5 and 16 km and to the range of examined slip rates along the DSF (3.8-4.9 75 mm/yr) and CGFS (up to 1.5 mm/yr). However, the RMS value of the best fitting model of the 76 DSF fault alone is still higher than the RMS of the model including both DSF and CFS faults. 77 This indicates that by adding the CFS faults to the model the fit to the GPS data improves, 78 which also strengthens the theory of slip portioning from the DSF to CGFS. 79 80 81 82 3 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 Figure S1. Rotation rates predicted by: (a) elastic half space model, (b) elastic finite element model, (c) elasto-plastic finite element model. A detailed description of the models setup is found in Text S1 of the auxiliary material. 4 117 118 119 120 121 122 123 124 125 126 127 128 129 130 Figure S2. Surface vertical axis rotation rates caused in response to motion of synthetic faults. (a) An interseismic model of a vertical right-lateral strike slip fault locked to 15 km depth. (b) A total deformation slip model of a vertical right-lateral strike slip fault that slips up to the surface. Both faults were arbitrary set to a length of 200 km using a slip rate of 5 mm/yr. The parameters were chosen to best reflect and emphasize the differences between the different styles of deformation. 131 5 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 Figure S3. 40Ar/39Ar step heating of Neogenic basalts. Arrows show the steps included by the plateau age calculation. Dating measurements and analysis were performed by the New Mexico Geochronological Research Laboratory at the New Mexico Institute of Mining and Technology. MSWD stands for the mean sum weighted deviates. 6