The Kamchatka earthquake occurred because the Pacific Plate is continuously moving beneath the Okhotsk microplate region along the Kuril–Kamchatka trench system. Over long periods of time, stress accumulates as the tectonic plates become mechanically locked. When the accumulated stress exceeds the frictional resistance holding the plates together, the fault suddenly ruptures.

During the rupture process, sections of the ocean floor rapidly shift vertically. This vertical displacement transfers enormous energy into the overlying water column. Unlike ordinary wind-driven surface waves, tsunami waves involve movement through the full depth of the ocean. This creates extremely long wavelengths, high propagation speeds, and the ability to travel across entire ocean basins with relatively little energy loss.

The event generated a Pacific-wide tsunami field because the rupture occurred offshore and involved significant vertical motion. Deep-ocean tsunami amplitudes can appear deceptively small in open water, yet the wave energy remains immense. As the tsunami approaches continental shelves and coastlines, the wave slows, compresses, and amplifies due to decreasing water depth and shoreline geometry.

These equations form the mathematical backbone of the VillaTerras Ocean Wave Engine III runtime. The simulator uses GPU ping-pong framebuffers to evolve the water-height and velocity fields through time, allowing the wave to propagate, refract, reflect, and dissipate dynamically across the simulated Pacific basin.

The simulator displayed on this page is not a simple expanding ring animation. The runtime uses a physically inspired shallow-water GPU solver where the wave state evolves frame-by-frame using WebGL shader programs. Each simulation frame stores water height and directional velocities inside GPU textures, allowing the system to model ocean propagation behavior in real time.

The ocean itself becomes the computational surface. Bathymetry textures define where deep ocean exists versus continental shelves. Ocean-mask textures prevent energy from traveling over land. Coastline signed-distance-field textures create damping and reflection effects near shorelines, enabling the wave to bend, weaken, or rebound depending on local geometry.

The rupture source itself is modeled as an elongated fault injection field rather than a single point source. This creates directional energy focusing, which is critical for realistic trans-Pacific tsunami propagation patterns.

The tsunami propagated outward from the Kamchatka source region across the Pacific Ocean basin. Due to the deep-water environment of the North Pacific, modeled wave speeds exceeded several hundred kilometers per hour. The earliest exposure zones included the Kuril Islands, northern Japan, and the Aleutian region of Alaska. Hawaii, British Columbia, and the west coast of North America were subsequently exposed as the wavefield expanded across the basin.

As the tsunami approached continental shelves and harbor systems, local amplification became increasingly important. Regions such as Crescent City, California historically exhibit enhanced resonance due to offshore bathymetry and harbor geometry. The simulator models this through local damping/reflection behavior and harbor weighting coefficients.

The VillaTerras runtime should therefore be interpreted as a scientific visualization and analytical propagation environment. It is designed to explain and simulate ocean-wave mechanics, trans-Pacific travel behavior, and coastal amplification logic in an interactive GPU environment.