作业3-4 - 1000011033 3-4 p 23.56MPa PVT Pb 1 p 21.77MPa...

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学号: 1000011033 数值模拟作业 3-4 姓名:赵乾坤 作业三、四 姓名:赵乾坤 作业三: 某油藏原始油层压力 23.56 p MPa 。该油井样品实验室 PVT 分析结果 如下表。 注: P b - 泡点压力。 试求: 1. 地层压力降为 21.77 p MPa 时,假设油井日产地面原油 3 40 m ,问地面日产气 多少? 答:由表查得, 21.77 p MPa 时,地下油层为液相,即在油层条件下,天然 气全部溶解在油中。由表知,此时 167.5 s R 因此,产气量为 3 3 167.5 40 6700 g dg s o STC STC V V R V m m 即,地层压力降为 21.77 p MPa 时,假设油井日产地面原油 3 40 m ,问地面日产
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学号: 1000011033 数值模拟作业 3-4 姓名:赵乾坤 3 6700 m 2. 地层压力为 16.33 p MPa 时,日产天然气 3 450 m (标准)、地面原油 3 2 m ,问这 些天然气、原油在地层中各占多少体积? 答:由表查得, 16.33 p MPa 时,地下油层为液、气两相,即在油层条件下, 天然气部分溶解在油中,部分以气体形式存在。由表知,此时 130.3 s R 1.441 o B 0.006115 g B 因此,原油在地层中占体积为 3 3 1.441 2 2.882 o dg g o STC RC V V B V m m 天然气在地层中占体积为 3 3 450 130.3 2 0.006115 1.158 g o g o g dg o g s o STC RC STC STC V B V B V V B V R V m m 即地层压力为 16.33 p MPa 时,日产天然气 3 450 m (标准)、地面原油 3 2 m 时, 地层条件下天然气体积为 3 1.158 m 、原油体积为 3 2.882 m 3. 地层压力在 21.77 ~ 22.45 p MPa 之间时,求原油的等温压缩系数是多少? 答:原油的等温压缩系数为 1 1 1 1 2 1 1 2 1 1 4 1 1 1 1.532 1.532 1 1 1 1.534 1.534 22.45 21.77 22.45 21.77 19.17 10 o V C V P V V V V MPa MPa V P P V MPa         即原油的等温压缩系数约为 4 1 19.17 10 MPa
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学号: 1000011033 数值模拟作业 3-4 姓名:赵乾坤 作业四: 试推导径向柱坐标 ( , , ) r z 下,均质、各向同性、不变形地层中,恒温 单相流体在 1 、不可压缩、 2 、微可压缩、 3 、可压缩(气体)三种情况下的流动 控制方程。 解: 首先,推导在柱坐标条件下的质量连续性方程。 如右图所示微元体,在 Δt 时间内的流入量: in r r z z r z r z r z m v A t v A t v A t v r z t v r r t v z r t               流出量:
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