Currently, Service-Oriented Architecture (SOA) may be considered as a state of the art approach for the complex software design and implementation because of high-level of operability and reusability of system components. Accordingly, we are applying the SOA-patterns to the creating the Tsunami Wave Propagation Modeling Environment because of complexity and versatility of tsunami modeling methods and tools. Our approach is followed an original Virtual Model-View-Controller pattern (VMVC) that is an adaptation of the traditional MVC to SOA. It is demarcating a Functional (View) and an Implementation (Model) task by inducing an Integrator (Controller) that encapsulates non-functional activities such as security, reliability, scalability, and routing. The presented paper is devoted to developing the Tsunami Modeling System components named Application Engines that are functioning at the Model layer. Accordingly, we are distinguishing the following main application engines: Tsunami Wave Propagation/Inundation, and Impaction Engines each of which reflects a corresponding stage of modeling process (tsunami wave propagation, inundation and impaction). We are also focusing on the developing the Tsunami Visualizing Engine (TVE) allowing to transform the digital results of modeling to the human-centered data representation.