This paper addresses a significant gap in the targeting process for fault-controlled geothermal systems by introducing a novel rule-based expert system called the ZEYBEK-2 Model. The model uses explicit geometric rules to identify the only geometrically permissible location for a geothermal trap. These rules define the necessary spatial relationships between four key geological elements: a heat source (L1), a permeable reservoir rock (L2), an impermeable cap rock (L3), and bounding fault structures (F1-F4). Operating within a Cartesian coordinate framework, the algorithm posits that a viable reservoir (G) can only be located within the cap rock (L3) block between the internal bounding faults (F2 and F3). The development of the model is contextualized within a comprehensive review of modern geothermal exploration trends (2020–2025), highlighting the shift towards integrated, data-driven approaches, including advanced geophysical inversion, AI/ML, remote sensing, and play fairway analysis. The ZEYBEK-2 Model contributes a transparent, rule-driven framework to this evolution, aiming to reduce subjective bias in the early targeting phase and provide a foundational logic for integrating diverse exploration datasets into a coherent spatial prediction.