It is more important to expand the applicability of the Gringarten formula for calculating the safe spacing to prevent thermal breakthrough between pumping and recharging wells, and to ensure the practical utility of the formula' s results. Initially, the formula was simplified by analyzing its characteristics, and the differences in the influence of geological parameters such as the effective thickness, porosity, and permeability of the thermal reservoir, which reflect its heterogeneity, on the simplified formula' s results were studied. Subsequently, a preliminary application of the formula was carried out in the Xiong' an New Area. The results show that the simplified formula is concise and easy to calculate. When the effective thickness of the thermal reservoir is greater than 90 m or the production time is less than 25 years, the calculation results difference between the simplified formula and the original formula is generally less than 2%, and the maximum difference is less than 13%. Effective thickness emerged as the most influential parameter affecting accuracy. Within the formula' s practical range, defined as a relative error below 20%, the error caused by the effective porosity factor remained below 1. 4%, reaching a maximum of 6% only under extreme conditions. Remaining errors are attributed to the effective thickness factor of the thermal reservoir. Changes in the effective thickness of the thermal reservoir have a more pronounced impact on the thermal breakthrough well spacing value than equivalent changes in effective porosity. The influence of permeability is encapsulated within that of effective porosity. Other geological factors of the thermal reservoir are of secondary importance. Generally, the average effective thickness and average porosity of the thermal reservoir can be selected as parameters for the formula' s calculations. In scenarios involving multiple wells in close proximity, accounting for the influence of interfering wells and then equating them to the well model calculation can significantly reduce errors. In the Xiong' an New Area, where the effective thickness of the thermal reservoir predominantly ranges between 40 m and 300 m, it is essential to ensure that the longterm flow rate of a single recharge well does not exceed 80 m3/h, and the spacing between pumping and recharging wells should preferably be more than 1300 m. The simplified formula for calculating the thermal breakthrough well spacing is not only effective in areas with homogeneous thermal reservoir conditions but also holds practical value in heterogeneous areas where the effective thickness ratio of the thermal reservoir at pumping and recharging wells is between 0. 5 and 2. This formula can be applied to study well network deployment and provide technical parameter suggestions in the Xiong' an New Area and other areas that meet the conditions for largescale development of geothermal water.