Since the beginning of the 21st century, the rapid advancements in micro-mechanical systems and bioengineering, along with the extensive exploration of unconventional oil and gas resources, have made fluid flow in micro-nano spaces a prominent research focus. This study investigates the flow characteristics of oil, gas, and water at the micro-nano scale using quartz capillaries and alumina channels, with a particular emphasis on unconventional oil and gas reservoirs. The research led to the development of corresponding models, including a nonlinear seepage model, a non-Newtonian fluid mechanics model, and a neural network prediction model. These models not only elucidate the complex mechanisms of fluid flow at the micro-nano scale but also provide theoretical support for practical applications.