Measuring thermal conductivity of transversely isotropic rock and error analysis

• Main Authors: Hung-Dian Shiau, 蕭弘典
• Other Authors: Yong-Ming Tien
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/29kreu

碩士 === 國立中央大學 === 土木工程研究所 === 97 === The subject of this research is using thermal probe method to measure the thermal conductivity of transversely isotropic rock while P-wave velocity at different angles is also measured. In order to improve the precision of thermal probe method, error propagation theory is used to estimate the standard deviation of measured results. A refined weighted moving average algorithm is applied to reduce the effect of noise from measuring. The value of standard deviation can be used to optimize experimental parameter for thermal probe method. For thermal conductivity, measurement noise affects the most, up to 59% rising of the standard deviation. Using a refined weighted moving average algorithm to process experimental data, the affection on the noise from measuring will reduce to 9%. The result of refined weighted moving average algorithm shows the effect of measurement noise is larger for a sample with higher thermal conductivity than a sample with lower thermal conductivity. Therefore, if a sample has higher thermal conductivity, the affection on noise must be reduced in order to maintain accuracy. For the measurement on transversely isotropic rock in the study, the thermal conductivity of parallel isotropic plane is about twice of vertical isotropic plane in transversely isotropic rock. The maximum P-wave velocity is more than twice of the minimum P-wave velocity. On measurements of a set of orthogonal directions, the ratio of thermal conductivity is almost the same with the ratio of P-wave velocity.