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在射孔井中，井筒仅通过炮眼与周围地层相互作用。炮眼周围液体的流动形态、压力分布以及酸液的运动前缘等与裸眼井中的平面径向流截然不同。但目前我国的酸化设计全都按照裸眼井进行。为使射孔井的酸化设计更为准确、合理，在椭圆坐标系中建立了射孔井砂岩基质酸化的压力微分方程和酸平衡方程。同时将砂岩中的矿物划分为两种以不同速度溶解的拟化学矿物，以硅酸盐和石英为代表。通过求解椭圆坐标系中的基本方程组，获得目标区域内的压力分布、氢氟酸浓度分布、硅酸盐及石英矿物的浓度分布、孔隙度和渗透率分布，求得酸液有效作用距离和增产倍比，从而预测酸化效果。
In perforating wells, the wellbore interacts with the surrounding formation only through the borehole. The flow pattern of the liquid around the borehole, the pressure distribution, and the leading edge of the acid flow are quite different from those of the open-hole well. But at present, all the acidification design in our country is carried out according to open hole. In order to make the design of perforated wells more accurate and reasonable, pressure differential equations and acid balance equations of sandstone matrix acidification in perforated wells are established in elliptic coordinate system. At the same time, the minerals in the sandstone are divided into two kinds of quasi-chemical minerals dissolved at different speeds, represented by silicate and quartz. By solving the basic equations in the elliptic coordinate system, the pressure distribution, hydrofluoric acid concentration distribution, concentration distribution of silicate and quartz minerals, porosity and permeability distribution in the target area are obtained, and the effective action distance and Yield multiples, in order to predict the acidification effect.