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  Theoretical Relationship between Q-system and Electrical Resistivity: Derivation and Field Application

  The construction of underground infra-structure elements in urban areas is increasinglyrequired. A lack of space on the surface and at shallow depths makes tunnels and underground structures, such as subways and cable tunnels, viable in bed-rock regions. Evaluating the rock conditions around underground structures is important for successful construction in a rock mass. However, typical methods of evaluating rock conditions are not quantitative but subjective. In this paper, the Q-value system, a commonly used rock evaluation method, along with electrical resistivity values are theoretically correlated using an electrical resistivity equation for a jointed rock mass to obtain a reasonable Q-value. Also, the probabilistic relationship between Q-value and electrical resistivity was obtained using field data. Field tests were performed to verify the theoretical correlation, and meaningful results were obtained.

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