###### Abstract  
Rock mechanical properties play an important role in the exploration and development of shale oil reservoirs. To study the rock mechanical properties continuously distributed along the longitudinal direction of the formation, physical and mechanical property data of shales from the Permian Lucaogou Formation of the Junggar Basin were gathered through experimental tests. The regression analysis method was applied to obtain relationships between physical properties and rock mechanical properties. Based on this, new empirical relationships between rock mechanical properties were established. The results show that the uniaxial compressive strength (_UCS_) ranged from 48.40 to 147.86 MPa, the Young's modulus (\(E_{\mathrm{s}}\)) was between 3.02 and 20.63 GPa, the Poisson's ratio (\(v_{\mathrm{s}}\)) ranged from 0.13 to 0.36, the cohesive force (C) ranged from 14.65 to 34.60 MPa, and the internal friction angle (\(\varphi\)) was between 27.61 and 46.94\({}^{\circ}\). The rock mechanical properties were more sensitive to the P-wave interval transit time (\(\Delta\)t\({}_{\mathrm{c}}\)) and bulk density (\(DEN\)). Among them, the _UCS_ was more sensitive to \(\Delta\)t\({}_{\mathrm{c}}\), while the \(C\), \(E_{\mathrm{s}}\), and \(v_{\mathrm{s}}\) were more sensitive to \(\Delta\)t\({}_{\mathrm{c}}\)/\(DEN\). For _UCS_ and \(E_{\mathrm{s}}\), an exponential function correlation is more reliable than linear expression and power function, whereas for C and \(v_{\mathrm{s}}\), power function and linear expression were adopted for higher accuracy, respectively. Compared with the empirical equations presented in the literature, the empirical equations established in the paper are more accurate and reliable, making them applicable to the Permian Lucaogou Formation shale oil reservoirs in the Jimusar Sag of the Junggar Basin. J imusar Sag; Lucaogou Formation; shale oil reservoir; mechanical properties; P-wave interval transit time; density 2023  
29 September 202326 November 202326 November 202327 November 2023330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 20230 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 202330 November 20233030 November 20233030 November 202 gas resources. The Permian Lucaogou Formation is the most important source rock in the Jimusar Sag, Junggar Basin, which is the primary exploration target for shale oil [4; 5]. Many studies have been carried out on the Permian Lucaogou Formation shale oil reservoirs, producing meaningful results about its geological and geochemical characteristics [5; 6; 7; 8]. These results suggest that shale oil reservoirs from the Lucaogou Formation in the Jimusar Sag have lower permeability characteristics, indicating that the shale oil reservoir from the Lucaogou Formation needs to adopt hydraulic fracturing technology to achieve reservoir stimulation. Rock mechanical properties play very important roles in the fracturing design. Furthermore, rock mechanical properties are of great interest relating to wellbore stability issues and the optimization of drilling operations [9; 10]. Therefore, the evaluation of rock mechanical properties is of great importance for the exploitation and development of oil and gas reservoirs. However, studies on the mechanical properties of the shale oil reservoirs in the Permian Lucaogou Formation of the Junggar Basin are still limited. There has been abundant research on the rock mechanical properties of different formations [11; 12; 13; 14]. These studies showed that laboratory tests are an important means to obtain the rock mechanical properties, including the deviatoric stress vs. axial strain curve, elastic modulus, Poisson's ratio, rock strength parameters, etc.