Evaluation of the range of horizontal stresses in the earth's upper crust by using a collinear crack model |
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| Affiliation: | 1. Department of Earth and Atmospheric Sciences, NIT Rourkela, Rourkela 769008, India;2. Department of Applied Geology-IIT(ISM), Dhanbad 826004, India;1. Section 2.6 Seismic Hazard and Stress Field, GFZ - German Research Centre for Geosciences, Telegrafenberg, Potsdam 14473, Germany;2. Golder Associates Hungary, Hűvösvölgyi út 54, Budapest 1021, Hungary;3. Section 6.2 Geothermal Energy Systems, GFZ - German Research Centre for Geosciences, Telegrafenberg, Potsdam 14473, Germany;1. Department of Oral and Maxillofacial Surgery, Peking University School and Hospital of Stomatology, Beijing 100081, China;2. Central laboratory, Peking University School and Hospital of Stomatology, Beijing 100081, China |
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| Abstract: | Vertical stresses in the earth's upper crust may be evaluated by the depth times the average unit weight of the overlying rock mass; however, the horizontal stress is difficult to obtain. Rock usually contains joints or cracks, and its fracture toughness is limited. If the horizontal stress acting on a cracked rock body exceeds a certain range, the crack will propagate and lead to rock fracture; and if a cracked rock is stable, the horizontal stress must be within a certain range. Therefore, from the stability condition of cracks, the range of horizontal stress can be evaluated. In this paper, a collinear crack model is employed to establish the cracked rock stability condition, and our theoretical results generally agree with the in-situ measurement results. The theoretical results can well explain the phenomenon that the ratio of horizontal stress to vertical stress near crust surface is scattered in a wide range, but in deep zone, it is scattered in a narrow range. |
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