CAJ | 학술논문

酸化压裂作为碳酸盐岩油气藏的重要增产措施,其增产效果与酸岩反应过程有密切联系.前人的酸岩反应教学模型未考虑岩石颗粒表面的分形特征和酸液对岩石颗粒的三维溶蚀,与实际酸岩反应过程存在明显差异.首先运用分形几何方法对粗糙颗粒的面积、体积等形状特征量进行规范表征,然后以化学反应动力学、传质理论为基础,建立岩石颗粒三维酸蚀分形数学模型,进而分析完全溶蚀时间、溶蚀率等反应特征参数的变化趋势.研究表明:碳酸盐岩颗粒表面分形维数对颗粒完全溶蚀时间的影响很显著,而且分形维数越高,完全溶蚀时间越长;溶蚀时间并非随着颗粒当量半径、氢离子主体量含量增加而单调递增或递减;当相对反应时间一定时,分形维数越高,颗粒溶蚀率越高.
산화압렬작위탄산염암유기장적중요증산조시,기증산효과여산암반응과정유밀절련계.전인적산암반응교학모형미고필암석과립표면적분형특정화산액대암석과립적삼유용식,여실제산암반응과정존재명현차이.수선운용분형궤하방법대조조과립적면적、체적등형상특정량진행규범표정,연후이화학반응동역학、전질이론위기출,건립암석과립삼유산식분형수학모형,진이분석완전용식시간、용식솔등반응특정삼수적변화추세.연구표명:탄산염암과립표면분형유수대과립완전용식시간적영향흔현저,이차분형유수월고,완전용식시간월장;용식시간병비수착과립당량반경、경리자주체량함량증가이단조체증혹체감;당상대반응시간일정시,분형유수월고,과립용식솔월고.
Acid fracturing as an important stimulation technology for carbonate reservoir is closely related with reaction process of acid-rock reaction process in effectiveness. The previous acid-rock reaction models have failed to describe fractal feature of rock particle surface and 3D corrosion of acidic liquid on the grain, so there are obvious differences compared with such a real reaction process. This paper conducts regular characterization of the area and volume of rough rock particles by method of fractal geometry, develops the fractal mathematic model of 3D acid corrosion of rough carbonate rock particles on the basis of chemical reaction kinetics and mass transfer theory, and analyzes the variation trends of total corrosion time and corrosion rate of carbonate rocks. The study shows that the effect of fractal dimension of carbonate rock particle on the total corrosion time is remarkable, and the larger the fractal dimension, the longer the total corrosion time; moreover, such a time is not increasing or decreasing monotonously with the increases of rock equivalent radius and main concentration of hydrogen ion content. For a certain relative reaction time, the larger the fractal dimension, the higher the particle corrosion rate.