The most important method to realize visualization geotechnical test based on similarity theory is the configuration method which can ensure the stable physical and mechanical properties of transparent cemented soil. Therefore, Fused quartz particles (coarse aggregate), Nanoscale hydrophobic fumed silica powder (binder) and N-dodecane mixed 15# white oil (pore fluid) are selected as the basic materials, and orthogonal experiments with 2 factors and 3 levels are designed to complete the influence conditions of "Particle size of quartz sand" and "Cemental-stone ratio (Mass ratio of nanoscale silica to quartz sand)". The main physical and mechanical parameters (Unit weight γ, Internal friction Angle φ, Cohesion force c) of transparent cemented soil were determined. Furthermore, through the fitting of the original test data, the multiple nonlinear regression equation which can be directly used to guide the material configuration is derived, and the rationality of the equation is proved according to the mathematical statistics knowledge. The test results show that: (1) the unit weight is between 16.13 kN/m3~12.53 kN/m3, the internal friction Angle is between 27.07°~14.82°, and the cohesion is between 31 kPa~2.3 kPa. In addition, the characteristics of the shear stress-deformation curve are similar to irregular sandstone and mud-stone. (2) The series connection method was used to perform regression analysis on the test data. The regression equations of three mechanical parameters, namely, the unit weight γ, the internal friction Angle φ and the cohesion force c. It can be used to determine the mixing ratio of raw materials that meet the parameter requirements. Meanwhile, the Multiple R values of the three equations are all greater than 0.88, and the Significance F value is close to 0. This proves that the regression equation obtained is valid. (3) Under the premise of reasonable parameter range, if the regression equations of unit weight γ and internal friction Angle φ are simultaneous, the particle size and cemental-stone ratio of quartz sand can be obtained. Then, the regression equation of cohesion force c can be obtained by substituting the obtained particle size of quartz sand and the ratio of gelatine. The cohesion force c can be solved, and the geometric similarity constant can be obtained by taking the ratio with the cohesion force of the original formation. The research results can provide theoretical support and data reference for the selection of a similar ratio of transparent soil model test.