Blending is a well-established operation that create a transition surface smoothly connects two (or more) boundary surfaces of an object. Utilizing the powerful modeling capabilities of computer aided geometric design (CAGD) to accurately add blending features to aerospace products is of great significance for enhancing the aesthetics of the model, strengthening structural safety, and improving manufacturing efficiency. This paper focuses on the topological issues involved in embedding blending surfaces into boundary representation (B-Rep) solid models, and proposes a widely applicable blending algorithm aiming to ensure the smooth implementation of blending operations in diverse model scenarios. Three key topological problems, namely termination blending, overlay blending, and global blending, are deeply investigated. Solutions to these problems are provided. At the same time, the paper presents common topological reconstruction scenarios in the process of blending operations, offering practical guidance for the effective application of blending technology in complex models.