Purpose In the present study, the effect of gravity, memory dependent and temperature-dependent parameter on a nonlocal poro-thermoelastic medium were display to address this problem. Methods In this research, analytical expressions of the physical quantities are derived using normal mode method. Numerical outcomes provided depicted graphically upon application force. Results The model is demonstrated within the framework of the Green-Lindsay theory. Solutions of the physical quantities are obtained through normal mode method and depicted graphically. Conclusions Comparative outcomes from the graphs have been analyzed, offering an estimation of the impacts of gravity, temperature-dependent parameter, and the locality on the behavior of all the physical fields.