生产

案例研究:预测米德兰盆地儿童健康状况恶化情况

应对成熟盆地开发中面临的挑战,采用数据驱动的方法进行间距和库存决策。

新安装的井口装置正等待与生产线连接。图片来源:Getty Images。
新安装的井口装置等待连接到生产线。
图片来源:Getty Images。

随着非常规油气开发的成熟,那些容易做出的决策往往最先消失。在油气藏开发的早期阶段,运营商可以在基本未受扰动的岩层中钻井,并期望获得稳定的产量。然而,随着时间的推移,新井越来越多地在现有油气生产区附近钻探。在德克萨斯州的米德兰盆地,这已成为常态而非例外。

这些新井,通常被称为子井,其产量往往低于预期。即使子井位于同一地层,并采用与初始井(称为母井)类似的设计完井,其产量也常常低于早期井型曲线的预测值。这种产量不足会给井距决策、剩余储量估算和资本配置带来不确定性。

运营商都知道母子井相互干扰的存在。但更难回答的问题是,这种干扰在特定地点究竟有多大影响,以及其影响是否足以改变开发计划。本案例研究提出了一种实用的工作流程,旨在利用公开数据、机器学习和经验校准的枯竭模型,快速、一致地解答上述问题。

了解儿童健康表现不佳的原因

在构建预测模型之前,了解导致儿童水井退化的物理过程至关重要。通常会讨论三种机制。

  • 当母井降低周围岩层的压力时,就会发生储层压力下降现象。如果子井钻得离母井足够近,其部分泄油体积的初始压力就会降低,从而导致产量下降。这种效应会随着距离的增加而减弱,并且在泄油体积重叠处最为明显。
  • 裂缝几何形状的扭曲往往不太容易理解,但同样重要。子井的水力裂缝在遇到枯竭岩层时并不会对称扩展。相反,裂缝往往会优先向母井周围的低压区域扩展。这会减少有效裂缝表面积,并将增产措施直接施加到已被抽干的岩层中。与简单的压力下降不同,即使传统的抽采体积不重叠,这种机制也会影响子井。
  • 井间流动是指流体通过连通裂缝直接从子井流向母井,理论上是可能的,但在米德兰盆地尺度上,这种现象似乎影响甚微。由于公开数据难以持续观测到井间流动,因此本文未对其进行显式建模。

本研究描述的工作流程侧重于前两种机制,这两种机制共同解释了流域内观察到的大部分退化模式。

建立未耗尽的绩效基线

量化资源枯竭需要明确定义在没有邻近母井的情况下,子井的产量。本研究并非依赖人工选择的类比井,而是利用基于米德兰地区所有水平井训练的神经网络来估算第一年的累计石油产量。

该模型综合考虑了水平井段长度、压裂液和支撑剂浓度、井距、着陆区、已绘制的储层属性、井向和地理位置。水平井段的枯竭情况也被纳入输入参数,从而使模型能够学习邻近现有井对生产性能的影响。

为了估算未枯竭状态下的性能,对每口子井进行重新评估,将水平枯竭率设为零,而其他所有输入参数保持不变。这样就得到了代表未扰动岩层中预期性能的井特定基线。

儿童井退化率定义为第一年实际石油产量与该基准值之间的百分比差异。在米德兰地区,由此产生的退化值绝大多数为负值,通常在 10% 到 30% 之间。

一个具有物理直觉的简单经验模型

在量化了油井的劣化程度之后,下一步就是预测未来油井的劣化情况。这里采用的方法力求简单透明。

子井的总损耗退化量计算为附近所有母井损耗退化量的总和。每个母井的损耗退化量取决于四个因素:

  1. 重叠部分:子井侧井与母井水平重叠的部分。
  2. 耗竭强度:衡量在刺激儿童健康时,父母健康耗竭程度的指标。
  3. 距离:损耗效应随距离的增加呈指数衰减。
  4. 垂直关系:子井是在母井的上方还是下方钻成。

利用地层特定的乘数,将水平和垂直分离合并为一个等效距离。这使得模型能够在无需进行详细裂缝模拟的情况下,捕捉到不对称裂缝扩展和垂直方向的围护结构。

由此得到一个简洁的经验方程,易于实施,速度足够快,可以评估数千个潜在的井位。

从流域尺度的母子数据中学习

为了校准模型,我们在设定的水平和垂直范围内评估了米德兰地区所有可能的亲子井配对。这产生了大约 60,000 个潜在的亲子互动。

当分析子井相对于母井的位置对油气资源损耗的影响时,会发现一些一致的规律。油气资源损耗在短距离内最为严重,并随着距离的增加而减弱,但可测量的影响范围通常超过1000英尺。钻探在母井下方的子井通常比钻探在母井上方的子井损耗更为严重。此外,油气资源损耗的空间分布范围也因地层而异。

例如,位于沃尔夫坎普B组的母井往往表现出更明显的垂直方向递减,尤其是向上递减;而位于下斯普拉伯里组的母井则表现出更广泛的垂直影响。这些差异支持使用特定地层的衰减因子和垂直乘数。

经过校准后,经验模型能够重现观察到的退化趋势,并且在大多数几何形状上平均误差较低,从而增强了人们对其预测能力的信心。

最能代表损耗强度的是什么

评估了几个指标来代表母井枯竭强度,包括累积产量、在线时间、裂缝尺寸和按估计最终采收率归一化的累积产量。

最有效的指标是子井破裂时母井的累计石油产量除以母井第一年的石油产量,再乘以 1.5 次方。

该模型对储层质量进行了标准化处理,降低了对分配噪声的敏感性,并隐含地反映了裂缝有效性和非均质性。值得注意的是,仅凭母裂缝尺寸作为盆地尺度的预测因子表现不佳,这表明生产响应已经反映了完井强度所传递的大部分信息。

将资源枯竭转化为经济影响

一旦计算出预测的退化程度,即可将其直接应用于未枯竭型曲线。这使得结果能够立即用于开发规划和经济评估。

图 1展示了如何将经验推导的损耗模型应用于已开发区域的空间分布示例。地图视图突出显示了特定深度处的预测损耗强度,而横截面图则展示了损耗在堆叠着陆区垂直方向上的变化情况。

图 1——根据经验模型计算的预测损耗退化情况。平面图(左)显示了固定深度处损耗的空间变化,而横截面图(右)则展示了沿突出显示的横断面,损耗如何在叠置地层中垂直变化。来源:Whitson。
图 1——根据经验模型计算的预测损耗退化情况。平面图(左)显示了固定深度处损耗的空间变化,而横截面图(右)则展示了沿突出显示的横断面,损耗如何在叠置地层中垂直变化。
资料来源:惠特森。

将预测的枯竭退化应用于未枯竭的类型曲线,可以将影响直接转化为油井层面的经济效益,如图2 所示。在实践中,这可能会导致拟建子井的第一年产油量、净现值和内部收益率发生显著变化。

JPT_2026-03_CSWhitson_table_BS.jpg

在一些案例中,根据标准类型曲线看似经济的油井,在充分考虑资源枯竭后,产量却低于预期。相反,有些油田的产量恢复能力却超出了预期。

这些见解使运营商能够将资金集中投入到成功概率最高的油井上。

操作员实用工作流程

本研究中概述的工作流程可分五个步骤实施。

  1. 确定拟建子井水平方向约 2,000 英尺和垂直方向约 1,000 英尺范围内的所有母井。
  2. 计算横向重叠、水平距离、垂直分离和父代生产指标。
  3. 将特定于形成过程的经验常数应用于每个亲子配对。
  4. 将所有父代损耗贡献相加,以估算总损耗。
  5. 将预测的退化情况应用于未耗尽的类型曲线,以进行预测和经济学分析。

必须注意避免重复计算。劣化处理只能应用于未耗尽的类型曲线,而不能应用于已经包含子井的平均值。

结论

子油气资源相互干扰是成熟非常规油气开发中不确定性的主要驱动因素。在米德兰地区,油气资源枯竭效应通常超出传统的排水假设,并受到压力枯竭和裂缝几何畸变的双重影响。

一个简单且经过经验校准的模型,只需极少的数据即可捕捉这些影响,并具有很高的实用价值。更重要的是,考虑损耗的预测能够实现更合理的库存间距决策、更切合实际的库存估算以及更优化的资金配置。

在成熟的盆地中,了解哪些地方不应该钻探与确定下一个最佳钻探地点同样重要。

布雷登·鲍伊 (Braden Bowie, SPE) 是一位资深油藏工程师,现任 WhitsonX 产品经理。WhitsonX 是 Whitson 公司专注于井距、油藏开发规划和完井设计的开发优化引擎。鲍伊在非常规资源开发领域拥有超过 10 年的经验,曾任职于 Apache 公司,担任过一系列技术和规划职务。他在 Apache 的工作涵盖多个非常规盆地,涉及油藏工程、开发规划和经济评价。鲍伊来自加拿大,现居德克萨斯州,他以运营商的视角进行产品开发,尤其注重将分析工具与实际工程工作流程相结合。他对应用数据驱动方法来改进油田层面的决策有着浓厚的兴趣。鲍伊拥有卡尔加里大学机械工程学士学位。

原文链接/JPT
Production

Case Study: Predicting Child-Well Performance Degradation in the Midland Basin

Addressing the challenge of developing a mature basin with a data-driven approach to spacing and inventory decisions.

Newly installed wellheads await a hookup to production lines. Source: Getty Images.
Newly installed wellheads await a hookup to production lines.
Source: Getty Images.

As unconventional developments mature, the easy decisions disappear first. Early in a play’s life, operators can drill wells in largely undisturbed rock and expect consistent results. Over time, however, new wells are increasingly drilled near existing producers. In the Midland Basin in Texas, this has become the norm rather than the exception.

These new wells, commonly referred to as child wells, often underperform expectations. Even when landed in the same formation and completed with similar designs to those of the initial wells, referred to as parent wells, child wells frequently produce less than early-generation type curves would suggest. This underperformance introduces uncertainty into well-spacing decisions, remaining inventory estimates, and capital allocation.

Operators know parent–child well interference exists. A harder question to answer is how much it matters at a specific location and whether the impact is large enough to change development plans. This case study presents a practical workflow designed to answer that question quickly and consistently using public data, machine learning, and an empirically calibrated depletion model.

Understanding Why Child Wells Underperform

Before building a predictive model, it is important to understand the physical processes that cause child wells to degrade. Three mechanisms are typically discussed.

  • Reservoir-pressure depletion occurs when parent wells lower pressure in the surrounding rock. If a child well is drilled close enough to a parent, part of its drainage volume begins at a reduced pressure, leading to lower productivity. This effect should weaken with distance and is most intuitive where drainage volumes overlap.
  • Fracture-geometry distortion is often less intuitive but equally important. Hydraulic fractures from a child well do not grow symmetrically when they encounter depleted rock. Instead, fractures tend to grow preferentially toward lower-pressure regions around parent wells. This can reduce effective fracture surface area and direct stimulation into rock that has already been drained. Unlike simple pressure depletion, this mechanism can affect child wells even when traditional drainage volumes do not overlap.
  • Interwell flow, in which fluids move directly from child wells to parent wells through connected fractures, is theoretically possible but appears to be a minor effect at the basin scale in the Midland. Because it is difficult to observe consistently in public data, it is not explicitly modeled here.

The workflow described in this study focuses on the first two mechanisms, which together explain most of the degradation patterns observed across the basin.

Establishing an Undepleted Performance Baseline

Quantifying depletion requires a clear definition of what a child well would have produced in the absence of nearby parents. Rather than relying on manually selected analog wells, this study uses a neural network trained on all horizontal wells in the Midland region to estimate first-year cumulative oil production.

The model incorporates lateral length, stimulation fluid and proppant intensity, well spacing, landing zone, mapped reservoir properties, well orientation, and geographic location. Horizontal depletion is included as an input, allowing the model to learn how proximity to existing wells affects performance.

To estimate undepleted performance, each child well is reevaluated with horizontal depletion set to zero while all other inputs remain unchanged. This produces a well-specific baseline representing expected performance in undisturbed rock.

Child-well degradation is then defined as the percentage difference between actual first-year oil production and this baseline. Across the Midland region, the resulting degradation values are overwhelmingly negative, commonly ranging from 10 to 30%.

A Simple Empirical Model With Physical Intuition

With degradation quantified, the next step is predicting it for future wells. The approach used here is intentionally simple and transparent.

Total depletion degradation on a child well is calculated as the sum of contributions from all nearby parent wells. Each parent’s contribution depends on four factors:

  1. Overlap: the fraction of the child-well lateral that overlaps the parent well horizontally.
  2. Depletion intensity: a measure of how strongly depleted the parent well is at the time of the child-well’s stimulation.
  3. Distance: depletion effects decay exponentially with increasing separation.
  4. Vertical relationship: whether the child well is drilled above or below the parent.

Horizontal and vertical separation are combined into a single equivalent distance using formation-specific multipliers. This allows the model to capture asymmetric fracture growth and vertical containment without requiring detailed fracture simulations.

The result is a compact empirical equation that is easy to implement and fast enough to evaluate thousands of potential well locations.

Learning From Basin-Scale Parent-Child Data

To calibrate the model, every possible parent-child well pairing in the Midland region was evaluated within defined horizontal and vertical limits. This resulted in approximately 60,000 potential parent-child interactions.

When child-well degradation is analyzed as a function of position relative to parent wells, several consistent patterns emerge. Degradation is strongest at short distances and decays with separation, but measurable impacts often extend beyond 1,000 ft. Child wells drilled below parent wells generally experience more severe degradation than those drilled above. Additionally, the spatial footprint of depletion varies significantly by formation.

For example, parent wells landed in the Wolfcamp B formation tend to exhibit more vertically contained depletion, particularly upward, while Lower Spraberry parents show broader vertical influence. These differences support the use of formation-specific decay factors and vertical multipliers.

After calibration, the empirical model reproduces observed degradation trends with low average error across most geometries, providing confidence in its predictive capability.

What Best Represents Depletion Intensity

Several proxies were evaluated to represent parent-well depletion intensity, including cumulative production, time online, fracture size, and cumulative production normalized by estimated ultimate recovery.

The most effective metric was parent cumulative oil at the time of the child-well’s fracture divided by the parent’s first-year oil production, raised to the power of 1.5.

This formulation normalizes reservoir quality, reduces sensitivity to allocation noise, and implicitly captures fracture effectiveness and heterogeneity. Notably, parent fracture size alone performed poorly as a predictor at basin scale, suggesting that production response already reflects much of the information conveyed by completion intensity.

Translating Depletion Into Economic Impact

Once predicted degradation is calculated, it can be applied directly to undepleted type curves. This makes the results immediately useful for development planning and economic evaluation.

Fig. 1 shows an example of how the empirically derived depletion model can be applied spatially across a developed area. The map view highlights predicted depletion intensity at a specific depth, while the cross section illustrates how depletion varies vertically across stacked landing zones.

Fig. 1—Predicted depletion degradation calculated from the empirical model. The map view (left) shows spatial variation in depletion at a fixed depth, while the cross section (right) illustrates how depletion varies vertically across stacked formations along the highlighted transect. Source: Whitson.
Fig. 1—Predicted depletion degradation calculated from the empirical model. The map view (left) shows spatial variation in depletion at a fixed depth, while the cross section (right) illustrates how depletion varies vertically across stacked formations along the highlighted transect.
Source: Whitson.

Applying the predicted depletion degradation to undepleted type curves allows the impact to be translated directly into well-level economics, as exemplified in Fig. 2. In practice, this can result in meaningful changes to first-year oil, net present value, and internal rate of return across proposed child wells.

JPT_2026-03_CSWhitson_table_BS.jpg

In several cases, wells that appeared economic using standard type curves fell below hurdle rates once depletion was properly accounted for. Conversely, some locations proved more resilient than expected.

These insights allow operators to focus capital on wells with the highest probability of success.

A Practical Workflow for Operators

The workflow outlined in this study can be implemented in five steps.

  1. Identify all parent wells within approximately 2,000 ft horizontally and 1,000 ft vertically of a proposed child well.
  2. Calculate lateral overlap, horizontal distance, vertical separation, and parent production metrics.
  3. Apply formation-specific empirical constants to each parent-child pairing.
  4. Sum depletion contributions from all parents to estimate total degradation.
  5. Apply the predicted degradation to undepleted type curves for forecasting and economics.

Care must be taken to avoid double counting. Degradation should only be applied to undepleted type curves, not to averages that already include child wells.

Conclusion

Parent-child interference is a primary driver of uncertainty in mature unconventional developments. In the Midland region, depletion effects frequently extend beyond traditional drainage assumptions and are influenced by both pressure depletion and fracture-geometry distortion.

A simple, empirically calibrated model can capture these effects with minimal data requirements and high practical value. Most importantly, depletion-aware forecasting enables better spacing decisions, more realistic inventory estimates, and improved capital allocation.

In a mature basin, understanding where not to drill can be just as valuable as identifying the next best location.

Braden Bowie, SPE, is a reservoir engineer by background and a product manager at WhitsonX, Whitson’s development-optimization engine focused on well spacing, depletion planning, and completion design. He has more than 10 years of experience in unconventional resource development, having previously held a range of technical and planning roles at Apache Corp. His work there spanned multiple unconventional basins and included reservoir engineering, development planning, and economic evaluation. Originally from Canada and now based in Texas, Bowie brings an operator-focused perspective to product development, with an emphasis on aligning analytical tools with practical engineering workflows. He holds a strong interest in applying data-driven methods to improve field-level decision-making. Bowie holds a BSc in mechanical engineering from the University of Calgary.