Creating controllable fractures in geothermal wells with deep crystal structures is challenging due to rock strength. Radial Jet Drilling (RJD), which creates micro holes through rock, could stimulate these wells. However, it is challenging to implement RJD when drilling hard magmatic formations that are difficult to jet. Several factors influence RJD's effectiveness, including the jetting bit design, fluid properties, circulation rate, injection pressure, stress state in the formation, borehole pressure, and temperature. These factors determine RJD's performance parameters, such as jet stagnation pressure, jet hydraulic power, and maximum lateral hole length. This study aims to develop a generalized model for optimizing RJD's application in geothermal wells with hard formations. A unique feature of the study is the coupling of a hydraulic model with jetting criteria (threshold conditions) developed for evaluating jet-rock interactions under high-pressure conditions.This study introduces an advanced hydraulic model for RJD application, distinct from classical models that rely on field measurements and typically analyze only horizontally oriented nozzles. Our model encompasses a broader scope of operational and design parameters, facilitating the optimization of RJD in challenging geothermal environments without necessitating direct field data. Key performance metrics such as jet stagnation pressure, jet hydraulic power, and maximum lateral hole length are evaluated, emphasizing the critical role of each in overcoming the inherent challenges of hard rock formations, which require stagnation pressure of more than 100 MPa and jet hydraulic power of more than 5.2 KW. The findings reveal that achieving these conditions requires carefully balancing injection pressure, fluid flow rate, and equipment capabilities. Notably, the model underscores the necessity for robust equipment capable of high-pressure operations, including flexible tubing, compact downhole pressure intensifiers, and more advanced inclination and azimuth detection systems for lateral hole trajectory measurement and control.According to the new model, the RJD technique can be optimized by varying the densities of flexible tubes, the inclination angles of the lateral hole, and the number of back-jetting (BJ) nozzles. Results demonstrate that using an aluminum tube or adjusting the lateral hole to an inclination of 74° can enhance the maximum lateral hole length (MHL) by up to four times for the baseline case. Furthermore, increasing BJ nozzles from four to six can lead to an eightfold improvement in the MHL for the baseline scenario. Overall, the study enhances our understanding of RJD's potential in geothermal well stimulation. It offers a comprehensive framework for effectively implementing it in hard rock settings, creating a scenario for more efficient and economically viable geothermal energy production.