I remember having seen such type of study in context McMurray formation (for SAGD development), but unfortunately I do not have any public reference at hand. There were strong correlations which is not surprising because of the physical relationship at small scale . But the medium was very binary (sand - shale) and coverage in thermal measurements was poor.

Thanks a lot for your answer Pierre Bergey. I will investigate the case you mentioned.

Dear Amir Hossein,

I suggest studying these related articles:

1) Li, Mengyi, et al. "Numerical Investigation of Coupled Effects of Temperature and Confining Pressure on Rock Mechanical Properties in Fractured Rock Mass Using Thermal-Stress-Aperture Coupled Model." International Journal of Geomechanics 21.10 (2021): 04021195.

2)Yaşar, E., Y. Erdoğan, and H. Güneyli. "Determination of the thermal conductivity from physico-mechanical properties." Bulletin of Engineering Geology and the Environment 67.2 (2008): 219-225.

3)Elwegaa, Khalid, Hossein Emadi, and Mahdi Ramezanian. "Investigating effects of thermal shock technique on unconventional reservoir rock mechanical properties." 53rd US Rock Mechanics/Geomechanics Symposium. OnePetro, 2019.

Regards.

Thank you Mehdi Razavifar jan.