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An identification problem related to mud filtrate invasion phenomenon during drilling operations
Applied Mathematics in Science and Engineering ( IF 1.3 ) Pub Date : 2021-04-19 , DOI: 10.1080/17415977.2021.1914605
Tudor Boaca 1, 2
Affiliation  

In this paper, we study two identification problems related to the mud filtrate invasion phenomenon. We want to determine a parameter (the invasion rate) in the coefficients of the parabolic equation that describes the mud filtrate invasion phenomenon. In the first problem, we determine this parameter starting from the observed values of the mud filtrate dispersion. We reduce the problem to an optimal control problem and prove the existence of the optimal control. In the second problem, we determine the invasion rate imposing the minimum condition of the quantity of mud filtrate that diffuses into the oil reservoir. We also reduce the identification problem to an optimal control problem. We prove the existence of the optimal control and we obtain a simple explicit form of this optimal control. A numerical example is presented for the second problem.



中文翻译:

钻井过程中泥浆滤液侵入现象的识别问题

在本文中,我们研究了与泥浆滤液侵入现象相关的两个识别问题。我们想在描述泥浆滤液侵入现象的抛物线方程的系数中确定一个参数(侵入率)。在第一个问题中,我们从泥浆滤液分散的观测值开始确定该参数。我们将问题简化为最优控制问题并证明最优控制的存在。在第二个问题中,我们确定了侵入率,施加了扩散到油藏中的泥浆滤液量的最小条件。我们还将识别问题简化为最优控制问题。我们证明了最优控制的存在,并且我们得到了这个最优控制的一个简单的显式形式。

更新日期:2021-04-19
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