Natural sciences are now enlarging the width and depth of understanding the world, together with rapid developing observation facilities and mathematical basis of data-driven sciences with machine learning. In earth sciences, the satellite observation, global network observation of seismicity, positioning, geodesical displacement, geomagnetic variation, oceanic and atmospheric climate changes, and celestial mechanics variation are monitored in wide and narrow bands’ scales. The physics of geochemical mechanics in this book introduces mechanisms combining geochemical, geological, seismological, and global tectonic processes based on the data-driven and numerical sciences.