*Article* **Laboratory Evaluation and Field Application of a Gas-Soluble Plugging Agent: Development of Bottom Water Plugging Fracturing Technology**

**Aiguo Hu 1,2,3, Kezhi Li 3, Yunhui Feng 1,2, Hucheng Fu <sup>3</sup> and Ying Zhong 1,2,\***


**Abstract:** The currently reported bottom water sealing materials and fracturing technologies can hardly simultaneously achieve the high production and low water cut of gas reservoirs due to the complexity of various formation conditions. Therefore, without controlling the fracturing scale and injection volume, a kind of polylactide polymer water plugging material with a density of 1.15–2.0 g/cm3 is developed, which can be used to seal the bottom water of a gas–water differential layer by contact solidification with water and automatic degradation with natural gas. This technology can not only fully release the production capacity of the gas reservoir but also effectively control water production and realize the efficient fracturing development of the target gas reservoir. Laboratory test results show that the smart plugging agent has a bottom water plugging rate of 100%, and the low-density plugging agent has a dissolution rate of 96.7% in methane gas at 90 ◦C for 4 h and a dissolution rate of 97.6% in methane gas at 60 ◦C for 6 h, showing remarkable gas degradation performance. In addition, settlement experiments show that the presence of a proppant can increase the settlement rate of a plugging agent up to many times (up to 21 times) in both water and guanidine gum solution. According to the actual conditions of well J66-8-3, a single-well water plugging fracturing scheme was prepared by optimizing the length of fracture, plugging agent dosage, and plugging agent sinking time, and a post-evaluation method was proposed. It has guiding significance to the development of similar gas reservoirs.

**Keywords:** gas-soluble plugging agent; bottom water; water plugging fracturing technology; unconventional oil and gas resources

#### **1. Introduction**

The discovery of unconventional oil and gas resources not only increased the potential of global oil and gas resources but also changed the world energy structure and helped to solve short-term energy crises [1–3]. As an important reservoir stimulation technology, hydraulic fracturing ensures the stable production of oil and gas fields [4–6].

At present, most unconventional oil and gas reservoirs in China are characterized by high water content and low permeability [7,8]. The separation between water and oil and gas layers is thin, and the pressure difference between reservoirs is small [9,10]. Thus, the high water production caused by hydraulic fracturing becomes another significant problem [11]. Therefore, conventional fracturing methods were mainly used to control the height of the fracture [12,13], avoid connecting the water layer, and carry out the smallscale and low-displacement fracturing technology [14]. These methods can control the height of fractures to a certain extent and avoid direct contact between water and oil layers. However, after fracturing, the fractures are shorter and the reservoir permeability is lower. In addition, the barrier between the gas and water layers is thin, and the stress difference

**Citation:** Hu, A.; Li, K.; Feng, Y.; Fu, H.; Zhong, Y. Laboratory Evaluation and Field Application of a Gas-Soluble Plugging Agent: Development of Bottom Water Plugging Fracturing Technology. *Energies* **2022**, *15*, 6761. https:// doi.org/10.3390/en15186761

Academic Editor: Paul W. J. Glover

Received: 25 July 2022 Accepted: 6 September 2022 Published: 15 September 2022

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**Copyright:** © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).

between the reservoir and the barrier layer is small. Even if the scale and displacement are reduced in the fracturing process, controlling the propagation of fractures is extremely difficult, and pressing through the water layer is still easy.

In recent years, fracturing technology has made breakthrough progress with the advances in intelligent materials and computer technology (including intelligent optimization of fracturing parameters, intelligent monitoring of fracturing fractures, and so on) [15–17]. Many bottom water sealing materials have been applied in the field, and the water production rate of fractured oil and gas wells has been effectively controlled. Xu prepared a new expansion particle profile control agent, and laboratory test results attest to the strong plugging ability of the plugging agent [18]. Moreover, physical simulation tests and field applications were used to verify the plugging ability and plugging strength of the expandant bottom water fracturing technology on pores to ensure the performance of the expandant bottom water fracturing fluid. Through the dynamic simulation and data analysis of a field oil well, it has been previously found that there is a point-like or segmented water producing section in the horizontal section of the well, which produces water from the edge and bottom. On this basis, a highly selective gel was developed, which entered deep into the reservoir to plug the fracture, causing the pressure in the tube to slowly rise. The well maintained fluid production at 27 t/d after fracturing, increased oil production from 4 to 20 t/d, and reduced the water cut from 75% to 25% [19]. Zhang et al. studied segmented water search and water plugging technology [20]. First, a horizontal well was segmented reasonably, and then the water layer was determined using the designed intelligent equipment (due to the different properties of oil and water and the different temperature of different positions, water can be found intelligently by capturing the change in water pressure and temperature). Then, the water was cut off from the determined layers. This technology can effectively and intelligently selectively shut off water, which provides a more effective method for delaying the influx of bottom water and further improving oil recovery. Zhao et al. reported a new precipitator for fracturing and measured the settling velocity, plugging capacity, and conductivity of the new precipitator barrier and compared these with those of six other commonly used settling agents [21]. Filtration tests showed that the new settling agent could form a barrier and has a strong plugging effect on the fracturing fluid. Qi et al. developed a foam gel system that uses polyacrylamide as the main agent and contains the in situ heating system of nitrite and ammonium [22]. The foam gel has good water plugging ability due to volume expansion, and its performance can be controlled by adjusting the pH value to meet the different configuration requirements of different reservoirs.

However, the currently reported bottom water sealing materials so far have different advantages and disadvantages due to the complexity of various formation conditions, summarized in Table 1.


**Table 1.** Summary of partial plugging materials.


**Table 1.** *Cont*.

To sum up, the main problems are as follows:


Therefore, we put forward in this work a new bottom water plugging fracturing material to try to solve the above problems. Without controlling the fracturing scale and injection volume, a water-blocking material that solidifies in contact with water and automatically degrades in contact with natural gas was developed to block the bottom water of gas–water differential layers. While fully releasing the production capacity of gas reservoirs, the technology can effectively control water and increase gas production and achieve the efficient fracturing development of gas reservoirs in a target area. Experimental test results show that the bottom water sealing rate of this intelligent plugging agent reaches 100% and that it has great degradation performance in the presence of natural gas. The construction was improved according to the water plugging fracturing field test, and a post-fracturing evaluation method was put forward.

#### **2. Experimental Materials and Methodology**

#### *2.1. Experimental Materials*

Pyrophosphoryl chloride (Cl4O3P2, Mn = 251.76) was obtained from Chongqing Chuandong Chemical Co., Chongqing, China, and p-hydroxybenzaldehyde (C7H6O2, Mn = 122.12), toluene (C7H8, Mn = 92.14), and sodium borohydride (NaBH4, Mn = 37.83) were purchased from Qianyan Science and Technology Co., Hong Kong. Lactide (C6H8O4, Mn = 144) was obtained from Suzhou Qihang Biotechnology Co., Suzhou, China, stannous

isooctylate (C16H30O4Sn, Mn = 405.10) was obtained from Hubei Chunshuo Chemical Co., Zhijiang, China, and proppant (20/40 mesh ceramsite) was purchased from Guanghan Huitong Plastic Co., Deyang, China.

#### *2.2. Flowchart of Laboratory Experiment*

The synthesis and performance testing of the gas-soluble plugging agent is the key to verify the performance of the plugging agent. The first is the synthesis of the plugging agent, and then the synthetic plugging agent needs curing performance test, solubility test, and settlement experiment, respectively. An initial diverting capacity test of proppant is required prior to the curing performance test. Various laboratory experiments of plugging agent are shown in Scheme 1.

**Scheme 1.** Flowchart of laboratory experiment.

#### *2.3. Synthesis of the Plugging Agent*

The gas-soluble plugging agent is a type of plugging agent that is soluble in natural gas and is injected into the formation with the proppant. It is solidified by water under the formation temperature condition. This can reduce the water-phase permeability of artificial fractures and increase the shielding ability and pressure resistance strength between gas and water layers to control the bottom water from flowing up along artificial fractures and leading to a large amount of water flowing out of gas wells. At the same time, the plugging agent dissolves when it comes into contact with natural gas, which restores the conductivity of proppant fractures and plays a dual role in controlling the bottom water of gas reservoirs and ensuring the normal production of natural gas. For this purpose, the laboratory synthesized a plugging agent material that solidifies in water and dissolves in gas. The 1 mol pyrophosphoryl chloride and 4 mol p-hydroxybenzaldehyde react in toluene to produce intermediate with aldehyde group. The aldehyde group is directly reduced to hydroxyl group by adding sodium borohydride. Finally, a highly branched poly (lactide) polymer was synthesized with lactide catalyzed by stannous isooctylate. The main synthesis route is shown in Scheme 2.

The plugging agent was synthesized using solution polymerization, and the reactor is shown in Figure 1.

**Scheme 2.** Synthesis of plugging agent.

#### *2.4. Diverting Capacity Test of Proppant*

The main purpose of the experiment is to study the curing performance of the plugging agent system. Thus, the initial permeability of the fracture should be measured first. The experiment of diverting capacity test of proppant was based on methods previously reported by researchers, and the specific experimental steps are as follows:


$$K = \frac{99.998 \mu QL}{A \Delta P} \tag{1}$$

where *K* is the proppant pack permeability (μm2), *μ* is the viscosity of the liquid at the experimental temperature (mPa·s), *<sup>Q</sup>* represents the flow rate (cm3/s), *<sup>L</sup>* represents the length between the pressure measuring holes (cm), *A* is the cross-flow area (cm2), and Δ*P* is the pressure difference (KPa).

**Figure 2.** Diversion chamber before and after the placement of the plugging agent and proppant.

#### *2.5. Curing Performance Test*

Curing with water is one of the properties of the plugging agent. The following steps were completed to further explore the curing ability of the plugging agent.


After the plugging agent breakthrough, continue forward flooding to simulate formation water. Then, measure the water-phase permeability *K* within 30 min after the breakthrough to obtain the temporary plugging rate, as shown in Equation (2):

$$Z = \frac{K - K\_1}{K} \times 100\% \tag{2}$$

where *Z* represents the temporary plugging rate (%), *K* represents the original water-phase permeability (μm2), and *K*<sup>1</sup> represents the post-plugging permeability (μm2).


#### *2.6. Solubility Test*

The gas solubility experiment is a key experiment to evaluate whether a plugging agent can be automatically degraded by gas. The evaluation methods and steps adopted in this study are as follows:


Note: proppant was not included in the plugging agent mentioned above because it is not possible to calculate the plugging agent dissolution rate accurately after the addition of proppant. Therefore, pure plugging agent was used.

#### *2.7. Settlement Experiment of the Plugging Agent*

The proppant settlement experiment was used for reference to simulate the underground fracture situation, and the settlement law of the water plugging material alone in the fracturing fluid and mixed with proppant was measured.


(4) Add the mixture of the plugging agent and proppant to a graduated cylinder filled with water (or a guanidine gum solution) and calculate the settling rate.

#### *2.8. Preparation of Fracturing Fluid*

The guanidine gum base fluid prepared for laboratory testing and the fracturing fluid formulation used in the well J66-8-3 are shown below:

Base liquid: 0.42% guanidine gum (HPG) +1.0% anti-expansion agent +0.1% fungicide +0.5% foaming agent +0.2% drainage aid +0.2% Na2CO3. Cross-linking agent: cross-linking agent A:B = 100:6, the cross-linking ratio is 100:0.3.

The preparation method is carried out according to Chinese oil and gas standard SY/T 5107-2016 (water-based fracturing fluid performance evaluation method).

#### **3. Results and Discussion**

#### *3.1. Research on Plugging Agent*

In order to prove the successful synthesis of the polymer plugging agent, the final product poly (lactide) was analyzed by mass spectrometry.

As can be seen from Figure 3, the mass number corresponding to the peak with the largest mass number of the mass spectrum (that is, the molecular ion peak) is also greater than the molecular mass of various monomers and intermediates, thus confirming the successful synthesis of the polymer.

**Figure 3.** Mass spectrometry of polymers.

*3.2. Performance of the Water Plugging Material* 3.2.1. Consolidation Test

• Diversion capacity of the proppant.

Measuring the original permeability of fractures is necessary to study the curing performance of the plugging agent. A 20/40-mesh ceramsite with a bulk density of 1.65 g/cm3 (apparent density of 3.0 g/cm3) was used to test the permeability and diversion capacity of the proppant (pure proppant and its placement in the diversion chamber are shown in Figure 4). These provide the calculation basis for the plugging efficiency of the plugging agent. Because temperature has almost no effect on the diversion capacity of pure proppant, the test temperature was the normal temperature.

The permeability and diversion capacity of the proppant at different closing pressures are shown in Figure 5. It can be found that the formation permeability and proppant conductivity both decrease with the increase in closure pressure. This is because the fracture tends to heal with the increase in formation closure pressure, resulting in smaller fractures and lower permeability, which affects proppant conductivity. From the test results, we found that the permeability of the 20/40-mesh ceramsite is 68.9 D at a 45 MPa closure pressure.

**Figure 4.** Pure proppant and its placement in the diversion chamber.

• Plugging performance evaluation.

Different groups were tested to determine the cure and plugging ability of the plugging agent and proppant mixture at different densities. The densities and ratios of the plugging agent to the proppant are shown in Table 2.

**Figure 5.** Permeability and diversion capacity of pure proppant at different closure pressures.

**Table 2.** Parameters of the different experimental groups.


A total of 50 mL of the plugging agent and proppant were measured in various volume ratios. Then, reagents were poured into the beaker, stirred evenly, and weighed 32.25 g, with a sand paving concentration of 5 kg/m2. A guanidine gum solution and glue breaker (guanidine gum concentration: 0.42%; glue breaker dosage: 0.04%) were added into the plugging agent and then put into the diversion chamber. Then, the curing ability of the plugging agent was tested. The bonding procedure followed after the solidification of the plugging agent. Under the pressure difference of 1 MPa, distilled water was used for displacement. The plugging curve and optical images of the plugging agent and proppant after the test are shown in Figures 6 and 7.

Observation and experimental data showed a liquid outflow at the outlet end of group 1 (the average flow rate was 0.2 mL/min), and no droplet appeared after 13 min. The displacement pressure difference was continuously increased to 5, 10, 15, and 20 MPa without breakthrough, and the plugging performance was good. A large amount of liquid was released from the outlets of groups 4, 6, and 9 (the average flow rates were 22, 15, and 25 mL/min, respectively). This indicates that high-density plugging agents (densities of 1.56, 1.74, and 1.90 g/cm3) cannot achieve plugging under a 1:1 ratio. Obviously, the higher the density of the plugging agent, the more volume fraction of plugging agent is required to achieve effective plugging. However, no droplet appeared at the outlet ends of groups 8 and 13. The displacement pressure difference was continuously increased to 5, 10, and 13 MPa without breakthrough. When the displacement pressure difference of group 12 reached 15 MPa, the liquid was released from the outlet (the maximum flow rate was 15.62 mL/min). In addition, in group 8, when the displacement pressure difference reached 20 MPa, the liquid was released from the outlet (the highest flow rate was 4.19 mL/min), and the plugging performance was good. In other groups, the displacement pressure was continuously increased to 25 MPa, but no breakthrough was achieved, and the plugging efficiency reached 100%. The experimental results confirm the excellent plugging ability of the plugging agent. The optical photos of Figure 7 confirm that the plugging agent is a pale-yellow particle, distinct from the black proppant. The mixture becomes more yellow with the increase in the volume fraction of plugging agent.

**Figure 6.** Plugging curves of different groups.

#### 3.2.2. Solubility Test

The gas solubility test is a key experiment to evaluate whether the plugging agent can automatically degrade in contact with gas. Considering the dissolution of plugging agents at different temperatures and densities over time at corresponding temperatures after curing, different sets of experiments were conducted. The experimental parameters are shown in Table 3.

**Table 3.** Parameters in the gas solubility test.


**Figure 7.** Optical photos of the plugging agent and the proppant after the test.

The six groups of plugging agents in the above experimental program were weighed into a paper cup, and fracturing fluid was added and mixed thoroughly. They were then put in an oven and continuously heated at the corresponding experimental temperature until they were cured and taken out. The photos of the cured plugging agent are shown in Figure 8. Table 4 shows the experimental results of the dissolution capacity of the obtained plugging agent.

**Figure 8.** Optical photographs of the plugging agent after solidification in an oven.


**Table 4.** Solubility of the plugging agent.

Note: DR—dissolution rate.

It is clear from Table 4 and Figure 8 that the dissolution rate of the plugging agent increases over time. The solubility of the low-density (1.15 g/cm3) plugging agent reached 96.7% and 94.9% after heating for 5 h, respectively. The plugging agent in the beaker was reduced from almost full to only a little residue at the bottom of the beaker. After heating for 6 h, the solubility at 60 ◦C reached 97.6%, and the plugging agent in the beaker was significantly reduced again, showing good solubility. For the high-density plugging agents, the solubility was relatively low (59% to 69%) due to the addition of insoluble weighting agents. The higher the density of a plugging agent, the more insoluble material is left. Therefore, when the dissolution rate of plugging agent is calculated by mass difference method, the higher the density, the lower the dissolution rate of plugging fracturing technology controlled by plugging agent with small displacement and low displacement fracture. The optical photographs show the plugging agent residue after each hour. After 6 h, there is still a thick layer of solid at the bottom of the beaker. The dissolution of different groups of plugging agents at different times is shown in Figure 9. Generally, the plugging agent with different densities exhibited good gas solubility, with high dissolution rates achieved within a few hours.

**Figure 9.** Dissolution of the plugging agent at different times.

3.2.3. Settlement Rule of Plugging Agent

Using proppant sedimentation law experiments for reference, we simulated underground fractures, measured the sedimentation law and plugging performance of the water shut-off material alone and mixed with proppant in the fracturing fluid, and clarified the effect of plugging the bottom water and preventing the blockage of the gas layer.

• Rheological properties of fracturing fluid.

The fracturing fluid system was prepared according to the method in Section 2.6, and its rheological properties were tested (Figure 10).

**Figure 10.** High temperature rheological properties of fracturing fluid.

According to the rheological properties, the viscosity of fracturing fluid at 120 ◦C remains above 60 mPa·s after 120 min, which meets the requirements of fracturing (The experiment method is carried out according to Chinese oil and gas standard SY/T 5107-2016 (water-based fracturing fluid performance evaluation method)).

• Test in water.

The settlement of the plugging agent and proppant after testing the density of 1.15 g/cm3 and increasing it to 2.0 g/cm3 in clear water is shown in Figures 11 and 12, and the settlement rates are shown in Tables 5 and 6.

**Figure 11.** Settlement of the plugging agent and proppant (density = 1.15 g/cm3) in water.

**Figure 12.** Settlement of the plugging agent and proppant (density = 2.00 g/cm3) in water.


**Table 5.** Sedimentation rates (cm/s) of the plugging agent and proppant (density = 1.15 g/cm3) in water.

**Table 6.** Sedimentation rate (cm/s) of the plugging agent and proppant (density = 2.00 g/cm3) in water.


The results show that the settling velocity of the proppant in water is much higher than that of the plugging agent at different densities. As shown in Figure 11 and Table 5, when the plugging agent density is 1.15 g/cm3 and the volume ratio of plugging agent to proppant is 1:2, the settling velocity of the plugging agent/proppant mixture is about twice that of the pure plugging agent. The pure plugging agent was added into the clean water, and the settlement did not occur at 1 s. At 5 s, the plugging agent began to disperse and settle. At 15 s, the settlement was almost complete, and, 30 s later, the settlement was complete. However, when the 1:2 volume ratio of plugging agent and proppant was added into the water, the plugging agent and proppant settled in the first and second seconds, the proppant almost settled in the 5 s, the plugging agent almost settled in the 10 s, and settlement was completed in 25 s. Table 5 shows the sedimentation rates of the two systems after two repeated experiments. The average settlement rate of pure plugging agent is 0.69 cm/s, and that of proppant to plugging agent is 1.20 cm/s. At a proppant density of 2.00 g/cm3, similarly, the higher the proppant ratio, the faster the settling time and rate. Figure 12 and Table 6 show that the settlement rate of the plugging agent is slow, and the settlement rate is 6.67 cm/s when the plugging agent settles completely at 5.997 s. When the volume ratio of plugging agent and proppant is 1:0.5, the solid settlement rate is faster than that of pure plugging agent, and the settlement rate is 9.52 cm/s when the plugging agent settles completely at 4.201 s. The pure proppant has the highest settlement rate, with a settlement time of 3.799 s and a settlement rate of 10.53 cm/s. The results show that the presence of proppant in water is beneficial to the rapid settlement of a plugging agent.

Test in guanidine gum solution. Sedimentation at densities of 1.15 g/cm<sup>3</sup> up to 2.0 g/cm<sup>3</sup> was tested in a guanidine gum solution. In actual pumping, the plugging agent and proppant will disperse in the guanidine gum solution under agitation. Therefore, the influence of dispersion on sedimentation in the guanidine gum was discussed, as shown in Figures 13 and 14 and Tables 7 and 8, and the sedimentation and the sedimentation rates in the guanidine gum were given.

**Figure 14.** Settlement of the plugging agent and proppant (density = 2.00 g/cm3) in the guanidine gum solution.


**Table 8.** Sedimentation rates of the plugging agent and proppant (density = 2.00 g/cm3) in water.


The experimental test results in Figure 13 show that, when the density is 1.15 g/cm3, the plugging agent and proppant in guanidine gum solution completely settle and bond

together, making it difficult to separate without dispersing. With the increased volume ratio of proppant, the settling velocity of the plugging agent increases significantly. Table 7 shows that, when the ratio is 1:2, the settling velocity of the plugging agent is about 21 times that of pure plugging agent. The settling time of the pure plugging agent is 35.8 s and the settlement rate is 0.84. When the volume ratio of the propped collector is 1:2, the settling time is reduced to 1.7 s and the settlement rate is 17.65 cm/s. However, in the actual pumping, there is a stirring effect, and the plugging agent and proppant will disperse in guanidine gum base liquid. Therefore, the dispersion settlement experiment is carried out and the plugging agent and proppant are dispersed into guanidine gum artificially, and the settlement process is observed. Figure 14 shows a dispersion settlement experiment where the plugging agent and proppant settle together. With the increased volume ratio of the proppant, the settling velocity of the plugging agent increases significantly. When the ratio is 1:2, the settling velocity of the plugging agent is about six times that of the pure plugging agent. Table 7 shows that the presence of the proppant facilitates rapid settlement of the plugging agent. The settling time of the pure plugging agent is 684 s and the settlement rate is 0.04 cm/s. When the volume ratio is 1:2, the settlement time is reduced to 120 s and the settlement rate is 0.25 cm/s. At a density of 2.00 g/cm3, Figure 15 shows that, as the proppant ratio increases, the faster the settling time increases, the faster the settlement rate increases. Again, the presence of the proppant is conducive to rapid settlement of the plugging agent. Table 8 shows that, when the settling time of the pure plugging agent, the volume ratio of the plugging agent and proppant is 1:0.5, the pure proppant in guanidine gum solution is 106 s, 85 s, and 70 s, respectively, and the corresponding settlement rates are 0.38 cm/s, 0.47 cm/s, and 0.57 cm/s, respectively. In addition, it is proved that stirring can reduce the settling velocity. In the stirring experiment in Figure 14, the overall settlement rate slows down. In Table 8, when the settlement time of the volume ratio of pure plugging agent, plugging agent, and proppant is 1:0.5, pure proppant in guanidine gum solution is 180 s, 145 s, and 117 s, respectively, and the corresponding settlement rate is 0.22 cm/s, 0.28 cm/s, and 0.34 cm/s, respectively.

**Figure 15.** Production curve after fracturing at different fracture lengths.

#### *3.3. Field Test and Post-Fracturing Evaluation*

The preliminary field tests of water plugging and fracturing were conducted in a typical gas well with bottom water, and the post-fracturing effects were evaluated and analyzed. Then, improvement measures were put forward to provide bases for further experiments.

#### 3.3.1. Basic Information on the Reservoir and Well

A typical bottom water gas well (J66-8-3) in Shanxi Formation was selected to perform a preliminary field test of water plugging and fracturing. The well was drilled to a depth of 2611.85 m. The well was completed with a 41/2" casing and perforated at 2570–2572 m and 2574–2576 m. The formation closure pressure gradient was about 0.0158 MPa/m, and the formation closure pressure was 40.3 MPa. Other specific data for well J66-8-3 are shown in Table 9.


**Table 9.** Data for well J66-8-3.

#### 3.3.2. Treatment Design

The following treatment processes and parameters were designed to ensure a suitable fracturing and water shut-off process:


The fracture length was optimized with production as the goal to fully transform the reservoir. The basic parameters used for calculation were as follows: reservoir thickness, 15 m; porosity, 15%; permeability, 2.5 mD; gas saturation, 38%; and diversion capacity, 20 D·cm. Figure 15 shows the relationship between the fracture length and the output after pressing. Production first increases with the increase in seam length. When the fracture length reaches about 150 m, production hardly increases and the curve appears to plateau. Finding a 150 m fracture length was advisable, so a 150 m fracture length was taken as the target layer.

• Optimization of the plugging agent dosage.

According to the simulation, the hydraulic fractures in the well entered the water layer 13.7 m after water plugging and fracturing. According to the calculation using the fracture half-length of 150 m, the well should pump 10.8 m<sup>3</sup> of the plugging agent and proppant mixture during the pre-fluid-plugging stage (where the plugging agent composes 7.2 m3 of the total volume, whereas the proppant composes 3.6 m3). We calculated the amount of plugging agent and proppant (1:0.5 volume ratio of the plugging agent to the proppant) required to plug the gas and water layers of the well under different fracture lengths, and the results are shown in Figure 16. As the required length increases, the amount of proppant and plugging agent increase. When the length is about 80 m, 3.8 m3 of plugging agent and 1.9 m<sup>3</sup> of proppant are required. At 160 m, 7.7 m3 plugging agent and 3.9 m3 proppant were required. The longer the fracture, the more proppant and plugging agents are needed to create the fracture and plug the water.

• Determination of sinking time.

According to the basic characteristics of the well layers of J66-8-3, the fracture morphology after water plugging and fracturing was simulated (Figure 17). The length of the support fracture was 151.5 m (13.7 m into the water layer), and the height of the support fracture was 40.6 m (2552.3–2592.9 m).

**Figure 16.** Plugging agent and proppant dosages for different fracture lengths.

**Figure 17.** Fracture morphology after fracturing.

˄

According to the research results, the sinking timing should be calculated according to the fracture height and the settlement speed of the plugging agent. When the volume ratio of the plugging agent to the proppant was 1:0.5, the settlement time of the plugging agent with a density of 1.9 g/cm3 in the gel breaker was calculated as shown in Figure 18. It was found that the settling time of the plugging agent and proppant mixture increased linearly as the height of the fracture increased. The settling time of the plugging agent was 2.8 h in the case of a fracture height of 40.6 m. After the well pump was injected with the plugging agent, the settling time of the plugging agent was 2.8 h. We recommend stopping the pump for 3.0 h to allow the plugging agent to fully settle.

**Figure 18.** Settlement time at different fracture heights.

The water plugging and fracturing construction procedures for well J66-8-3 were adjusted considering the requirements of block reconstruction and the above water plugging and fracturing optimization results, and the results are shown in Table 10.


**Table 10.** Fracturing treatment pump injection procedure.

3.3.3. Evaluation Methods for the Post-Fracturing Wells

• Fracture height assessment.

The propagation of the fracture height after water plugging and fracturing can be obtained through temperature logging and net pressure fitting, and the relationship between the fracture height obtained and the gas–water layer interpreted by logging was determined to distinguish situations where the fracture height enters the water layer.


Water production is the direct display of the water plugging effect, and gas production is the ultimate goal of water plugging fracturing. Therefore, evaluating the effect of water plugging and fracturing from the aspects of water production and gas production is necessary. This can be conducted by comparing local wells and adjacent wells.


well. Under the same production system, we compared the daily gas production and daily water production of the adjacent wells and the example well. Then, we calculated the increase in the daily gas production of the example well and the decrease in the daily water production compared with that of the adjacent wells.

The rationality of a water plugging fracturing design and the effectiveness of water plugging fracturing can be effectively evaluated by evaluating the fracture height and analyzing the production situation. On this basis, improvement measures are put forward to constantly improve the water plugging fracturing technology and improve the pertinence and effectiveness of the water plugging fracturing technology.

#### **4. Conclusions**

This study includes laboratory study and field applications of a plugging agent, and the experimental results obtained led us to the following conclusions:


**Author Contributions:** Conceptualization, A.H.; methodology, A.H. and K.L.; software, H.F.; validation, H.F. and Y.Z.; formal analysis, Y.F.; investigation, Y.Z.; resources, A.H.; data curation, Y.F.; writing—original draft preparation, A.H.; writing—review and editing, Y.F. and Y.Z.; visualization, K.L.; supervision, H.F.; project administration, Y.F.; funding acquisition, Y.Z. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research was funded by State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation (Chengdu University of Technology), grant number PLC20210306.

**Institutional Review Board Statement:** Not applicable.

**Informed Consent Statement:** Not applicable.

**Data Availability Statement:** Not applicable.

**Conflicts of Interest:** The authors declare no conflict of interest.

#### **References**

