The ionosphere is characterized by a high concentration of ionized particles, plays a critical role in the propagation characteristics of radio signals in the upper atmosphere. During major geological events, such as earthquakes and volcanic eruptions, the ionosphere often exhibits anomalous disturbances. In the event of an earthquake, energy accumulated within the Earth's crust is released and propagates along fault lines, generating waves—including Rayleigh waves, acoustic waves, and gravity waves—that ascend into the ionosphere and induce fluctuations in Total Electron Content (TEC). This study investigates ionospheric disturbances associated with the magnitude 7.8 earthquake that impacted the Kaikōura region of New Zealand on November 13, 2016. Drawing on observational data from the Geo-Net Data Center, derived from New Zealand's network of Continuously Operating Reference Stations (CORS), this research examines ionospheric TEC and its rate of change (dTEC) in response to the earthquake. Two-dimensional dTEC distribution maps and distance-time plots are generated to evaluate the spatiotemporal characteristics and propagation dynamics of ionospheric disturbances during the event. By analyzing the propagation characteristics of ionospheric disturbances across multiple time intervals, this study identifies the presence and unique propagation patterns of various seismic wave phenomena transmitted through the ionosphere. The results contribute to a deeper understanding of the mechanisms underlying earthquake-induced ionospheric disturbances and present new insights and methodologies for monitoring and predicting such events.