Author Correction: Water-flooding characteristics of lithologic reservoir in Ordos basin

An amendment to this paper has been published and can be accessed via a link at the top of the paper.


Reservoir sedimentary background of Jiyuan Oilfield
Jiyuan Oilfield is located in the west of Ordos Basin, and Luo 21 area is located in the south of Jiyuan Oilfield ( Fig. 1) 13,14 . The study area is the deposition of braided river delta front, which mainly consists of bychannel, interdistributary area and so on (Fig. 2). The overall connectivity of the sand body along the provenance direction is good, showing a continuous and banded distribution in the profile, and the main superimposed sand body is mainly developed; the overall connectivity of the sand body in the vertical provenance direction is slightly poor, and the main body is zonal distribution (Fig. 3) (see Supplementary Information 1).The target layer Chang 4 + 5 in the study area is the main petroliferous bed of the study area, which is composed of two subsegments: Chang 4 + 5 1 and Chang4 + 5 2 . The target layer in the study area is divided into 8 single sand body-level research sublayers, Chang 4 + 5 1 1 , Chang 4 + 5 1 2 , Chang 4 + 5 13 3 , Chang 4 + 5 1 4 , Chang 4 + 5 2 5 , Chang 4 + 5 2 2 , Chang 4 + 5 2 3 , Chang 4 + 5 2 4 and the thin layer is about 10 cm-17 m. The main reservoirs Chang 4 + 5 and Chang 4 + 5 are typical low permeability reservoirs. It was put into development in 2012. The total number of oil and water wells is 132 (of which 67 are oil wells) (Fig. 4). The geological reserves developed is 803.59 × 10 4 t, the daily oil production is 58.55t, the water cut is 44.59%, the recovery percent is 15.86%, the production rate is 0.25%, and the daily water injection is 309.5 m 3 . In the process of water-flooding, the injected water flows along relatively high porosity, high permeability or micro-fractures, resulting in small sweep coefficient, low oil displacement efficiency, short water-free production period. The water cut of sand layer in some production wells rises rapidly in the early stage and even serious water flooding is prominent 15 .

Petrological characteristics.
According to the core observation in the field and the experimental analysis of the casting thin sections in the laboratory, The rock mineral composition of Chang 4 + 5 reservoir in the study area is mainly gray fine-grained debris-feldspar, containing a small amount of feldspathic lithic sandstone and feldspathic sandstone (Fig. 6) 23 . In the clastic material composition, the mass fraction of quartz is 38%,   www.nature.com/scientificreports/ the feldspar is 23.4%, the cuttings is 27.2%, and interstitial material is 11.1% (Fig. 7). The cementation type is mainly pore-cementation, and the support type is mainly grain-supported, which reflects the strong compaction. The psephicity is sub-circular and sub-prismatic, the separability is medium-good, and the main particle size is 0.1-0.4 mm. Based on the above analysis, the compositional maturity and textural maturity of reservoir sandstone in the study area are low. The interstitial material consists of clay minerals (7%), carbonate cements (2.4%), siliceous cements (1.1%) and pyrite (0.6%). Clay minerals are mainly hydromica (3.8%) and chlorite (2.0%), containing a small amount of kaolinite (1.2%) (Fig. 8). The main component of carbonate cement is ferrocalcite (2.4%). Siliceous cement   www.nature.com/scientificreports/ (1.1%) generally appears in two forms, one of which is microcrystalline quartz filling pores and the other is filled in the pore space in the form of secondary enlargement of quartz particles. A small amount of pyrite was also found in the casting thin section of the study area (Fig. 9).    www.nature.com/scientificreports/ Pore types, pore structure. The microscopic pore structure of rock is an important content in the study of reservoir characteristics [24][25][26] . By studying the microscopic pore structure of the reservoir, the distribution and characteristics of rock pore, throat, pore-throat can be obtained, which is beneficial to the comprehensive evaluation of the reservoir 27,28 .
Pore types. Intergranular pores are the remaining pores after compaction and filling cementation, which are partly filled by impurities and cements, with triangular, polygonal and irregular shapes, which have the greatest influence on reservoir porosity. Through the observation of casting thin sections, and scanning electron microscopy, the pore types in the study area are mainly composed of intergranular pores (1.9%), feldspar solution pores (1.0%), cuttings solution pores (0.2%), intergranular pores (0.3%), and intergranular solution pores (0.03%) (Fig. 10). The average pore diameter is 18.75 μm, and the average area percent of pore is 3.4% ( Table 1). The pore assemblage type is mainly dissolution pores-intergranular pores (Fig. 11).
Pore structure characteristics. Through high pressure mercury injection experiment, the pore structure parameters of reservoir rocks (displacement pressure, median pressure, variation coefficient, sorting coefficient, uniformity coefficient, skewness, the maximal radii of pore throats, median radius, the maximum mercury saturation and the efficiency of mercury withdrawal) can be obtained, respectively [29][30][31] . From the parameters of capillary pressure curve (Table 1, Figs. 12, 13), it can be seen that the average displacement pressure of 4 samples from Chang 4 + 5 of Yanchang formation in the study area is higher, the median pressure is higher, the median radius is medium, the sorting coefficient is medium, the pore throat skewness is positive and coarse, the mercury saturation is higher, and the mercury withdrawal efficiency is low. The mercury injection curve has a certain platform, which appears in the finer throat. It can be judged that the capillary pressure curve is mainly low displacement pressure-thin throat type. Based on the analysis, it is concluded that the pore structure of the target  www.nature.com/scientificreports/ section in the study area is well, the pore-throat connectivity is relatively well, however the oil displacement efficiency is poor.

Data and experimental measurements
Characteristics of water-flooding in plane. The characteristics of plane water-flooding in Luo 21 area are complex, and the sweep efficiency of water-flooding is low. Based on the statistics of water injection effectiveness of 15 injection-production well groups in Luo 21 area of Jiyuan Oilfield, according to the actual effect, the effective characteristics of oil wells are divided into three categories: Type I: after the effect, the productivity of single well increased significantly, and the water cut changed little. Type II: the characteristic of increasing production is not obvious, but the production capacity changes from decreasing to basically stable, and the water-   www.nature.com/scientificreports/ cut increases slowly. Type III: after the effect, the water-cut increased obviously, basically entered the exploitation period of high water cut (water cut > 60%). There are 79 effective oil wells and the degree of effectiveness is 95.2%. Through the analysis and statistics of the production data of 83 oil wells in the study area, the effective types are classified, and the results are shown in Fig. 14. During the period from 2013 to 2014, when the oil field was put into production, the effective type of oil wells is mainly type I, accounting for more than 80% of the total number of wells. There are few effective oil wells of type III, and the water cut in the block is kept at a low level. From 2015 to 2017, during continuous water injection to replenish formation energy, the non-piston water-flooding is serious. The proportion of type I oil wells decreases rapidly and is transformed into type II oil wells, at the same time, the number of type III oil wells increases, which leads to the increase of water cut in the oil field. From 2018 to 2019, the proportion of the total number of type I oil wells decreased. The percentage of type III effective oil wells was 27.85%, and the water cut of the oil field was 45.17%.
As of August 2019, there were about 83 water breakthrough oil well (water-cut > 10%) in the study area of Jiyuan Oilfield. From the perspective of reservoir development performance, the performance of water breakthrough oil wells can be divided into three types: convex water breakthrough (water cut growth rate decreases with time), S type water breakthrough (transitional type) and concave water breakthrough (water cut growth rate increases with time). The water breakthrough oil wells are classified, as shown in Fig. 15. During the period from 2013 to 2015, when the oil field was put into production, the percentage content of concave water breakthrough oil wells was more than 80%, that of convex water breakthrough oil wells was less than 20%, and the water cut of the oil field was kept at a relatively low level. From 2016 to 2018, the proportion of concave oil wells began to decrease, gradually changed to S type, and the water cut increased slowly. In 2019, S-type wells and convex   Characteristics of water-flooding in profile. The reservoir of Jiyuan Oilfield in Ordos Basin is mainly composed of small sand body complexs, and interlayer is developed between layers, which leads to poor physical properties of the reservoir. At the same time, the intrastratal and interlayer heterogeneity of reservoir is strong due to the physical properties in the longitudinal direction, pore structure characteristics, the changes of reservoir oiliness, the difference of the accumulation mode and shape of detrital minerals and the uneven distribution of minerals, resulting in uneven water injection profile of water injection wells 32 . The microfractures in Luo 21 area are well developed, the profile heterogeneity is strong, and the reserves producing degree of water-flooding is low. Intralayer: the injected water is mainly driven along the high permeability section, the reserves producing degree of the low permeability section is low, and the remaining oil is enriched. Interlayer: the difference between layers is large, the reserves producing degree of layers is uneven, and the problem between layers is complex.
According to the water absorption pattern, the water injection profile of the injection well is divided into three types (Fig. 16): uniform absorption, finger absorption and peak absorption. Through the statistics of the water absorption profile over the years, it can be seen from Fig. 17 that at the initial stage of development, the production situation of the study area is relatively simple, mainly including uniform water absorption and finger water absorption. From 2013 to 2019, the proportion of uniform absorption remained relatively stable. By 2015, due to intrastratal and interlayer heterogeneity and water injection development, peak absorption appeared in some layers. In 2018, the ratio of finger absorption and peak absorption is more than uniform, and the water absorption profile becomes more complex, which reduces the development efficiency.  www.nature.com/scientificreports/

Results
Microscopically, reservoir of Chang 4 + 5 in Jiyuan oilfield has great changes in lithology and physical properties, complex pore structure and strong heterogeneity, short oil recovery period without water and rapid increase of water cut in the process of water-flooding. Macroscopically, the heterogeneity and wettability of the reservoir have a decisive effect in the percolation law of the fluid, thus affecting the recovery of the low permeability reservoir.

Sedimentary environment.
In the plane. The sedimentary environment is changeable, which makes the change law of the reservoir in the plane complicated. The results of plane water-flooding characteristics show that type I effective wells are basically concentrated in the areas with thicker sand bodies, better connectivity and relatively good reservoir physical properties. The sand bodies in the main study area of type II effective oil wells are distributed in strips in the middle of the river. Type III effective wells are mainly distributed in the southwest and northeast edge of the study area where the sand bodies are thin, the reservoir physical properties are poor and fractures are developed. Thin sand body thickness, uneven distribution of physical properties between wells, and low porosity and low permeability play a role in hindering the energy transmission of water injection. Chang 4 + 5 reservoir in Jiyuan Oilfield belongs to low permeability reservoir 2 . Due to the directional strengthening of fracture to permeability after fracturing, the percolation mechanism of the reservoir is obviously changed in the process of production, resulting in watering out and even flooding. Due to the existence of natural microfractures, artificial fractures or high permeability zones, the injected water advances unidirectionally along the direction of low resistance, and the horizontal and vertical heterogeneity of the reservoir is intensified, resulting in the rapid rise of water cut in the production wells connected with the fractures. however, the production wells with lateral fractures are not easy to be effective. The direction of water breakthrough is consistent with the direction of principal stress, the oil well is easily flooded, and the effective period is short. The water breakthrough is characterized by a sharp increase in liquid content, a rapid increase in watering cut and a large decrease in productivity. The inverted nine-spot rhombus injection-production pattern is adopted in Jiyuan oilfield, and the well row direction is consistent with the fracture distribution direction, which is 75° in the northeast. In the fracture development zone, water can be seen quickly in corner wells and slowly in side wells.
In the longitudinal direction. The typical low permeability reservoir in Chang 4 + 5 reservoir of Jiyuan Oilfield is delta front deposits, and the main micro facies developed are mouth bar, subaqueous distributary channel and interdistributary estuary. The sedimentary micro facies also has a certain influence on the water injection profile, so the comparison method between the spontaneous potential of the water injection profile and the morphology of natural gamma and water absorption types is useful. According to the statistics of the curve types of water injection profile, the uniform absorption is mainly bell-shaped and box-shaped, and the peak absorption is mainly bell-shaped.
Through the statistics of the curve types corresponding to 28 water injection profiles in 2013 and 2019, it can be seen from Fig. 18 that the curve types in the whole region are mainly box-shaped and bell-shaped, in which the proportion of bell-shaped and box-shaped in finger absorption is higher, the proportion of finger type and infundibulate is higher in peak absorption, and the uniform water absorption is mainly bell-shaped, so the sedimentary micro-facies has a certain influence on the type of water absorption.
Reservoir heterogeneity. Plane heterogeneity. The formation of oil and gas reservoir is affected by sedimentary environment, diagenesis and tectonics and artificially induced changes in the later stage, resulting in uneven changes in the spatial distribution and internal attributes of the reservoir. Based on the analysis of the physical data of the plane heterogeneity of the main layer in the study area (Table 2), the relatively high porosity www.nature.com/scientificreports/ and high permeability area is widely distributed in the center of the main channel and the north of the study area. The porosity of the high porosity zone is more than 8%, and the local porosity is more than 15.1%; the permeability of the high permeability zone is more than 5 mD, and the local permeability is greater than 20 mD. It can be seen that there are obvious differences in reservoir physical properties among the three types of water absorption profiles. Among them, the permeability range of uniform water absorption reservoir is 36.63, and the permeability mutation coefficient is 1.8, which is a homogeneous formation. The permeability range of finger water absorption reservoir is 93.00, the mutation coefficient of permeability is 2.6, and the heterogeneity is moderate. The location permeability range of the peak water absorption reservoir is 1700.00, the permeability mutation coefficient is 4.2, and the heterogeneity is strong.
In-layer heterogeneity. Intra-layer heterogeneity is the internal cause of intra-layer contradiction in production, which directly controls the watered out thickness and sweep efficiency in single sand layer. Statistics show that (Table 3), the maximum range of Chang 4 + 5 2 1 reservoir in Luo 21 area of Jiyuan oilfield is 270.5 and the minimum is 1.63, the maximum mutation coefficient is 7.19 and the minimum is 1.89, the maximum variation coefficient is 1.35 and the minimum is 0.46, and the heterogeneity is weak. The maximum range of Chang 4 + 5 2 2 reservoir is 1700.41 and the minimum is 3.21, the maximum mutation coefficient is 2.31 and the minimum is 1.45, the maximum variation coefficient is 1.7 and the minimum is 0.36, and the heterogeneity is strong. Generally speaking, the heterogeneity of Chang 4 + 5 layer is moderate-strong heterogeneity (Table 4).
Interlayer heterogeneity. The parameters of range, mutation coefficient and variation coefficient of interlayer permeability can reflect the heterogeneity of interlayer permeability. Analysis of physical property data of Chang4 + 5 2 1 , Chang4 + 5 2 2 in Luo 21 area of Jiyuan Oilfield. The results show that (Table 5), the maximum permeability range of Chang 4 + 5 1 reservoir is 66.8 and the minimum is 2.32, the maximum mutation coefficient is 3.85 and the minimum is 1.31, and the maximum variation coefficient is 66.8 and the minimum is 2.32 in Luo 21 area. The maximum permeability range of Chang 4 + 5 2 reservoir is 213.76 and the minimum is 2.17, the maximum mutation coefficient is 4.56 and the minimum is 1.31, and the maximum variation coefficient is 1.8 and the minimum is 0.26 in Luo 21 area. Comprehensive evaluation: the interlayer heterogeneity in the study area is in a medium-strong degree.   www.nature.com/scientificreports/ The interlayer interval can reflect the interlayer heterogeneity of the reservoir, and it can block the fluid movement. It is found that Chang 4 + 5 in Luo 21 area is mainly mudstone, and the average thickness of the interlayer is 6.8 m. It has a good blocking effect. It is not easy to fracture, so it can really block the movement of fluid (Table 6).
Microscopic pore structure. The key factor affecting the water-flooding efficiency of low permeability reservoir is the reservoir microscopic pore structure. Combined with mercury injection data, casting thin sections and production performance, the influence of pore types on reservoir water flooding development is analyzed (Table 7).
Wettability. In the process of oil and gas exploitation, the wettability of reservoir rock directly affects the flow law and distribution of oil and water, thus affecting the oil recovery 33,34 . Through the test of 4 samples in Luo 21 area (Table 8, Fig. 19), the relative permeability curve of Chang 4 + 5 reservoir in the study area is divided into three types, and the oil displacement efficiency of lipophilic reservoir is the lowest, which is 33.64%. The average oil displacement efficiency of neutral wetting reservoirs is 51.27%, and the oil displacement efficiency of hydrophilic reservoirs is the highest (64.27%).

Discussions
In the process of water-flooding, there are many factors that control the water flooded layer, including the internal factors of the reservoir and the conditions of water injection. The internal factors of the reservoir include porosity, permeability, shale mass fraction and flow unit type. The conditions of water injection include the time of   Table 7. Characteristics of porosity and water flooding in the study area.

Pore category Pore characteristics Water-flooding characteristics
High porosity and permeability The grain sorting is good, the pore throat is uniformly distributed, and the connection between the pore and the throat is reticulate It is usually dominated by uniform displacement, and the injected water sweep efficiency are high Medium porosity and low permeability The grain sorting is poor, the distribution of pore throat is uneven, and the type of throat is mainly flaky It is usually dominated by peak displacement, the injected water sweep efficiency are low, and the water cut increases rapidly Low porosity and low permeability The grain sorting is relatively good, the pore throat is uniformly distributed, and the connection between the pore and the throat is a thin mesh It is usually dominated by finger displacement, the injection water sweep efficiency are medium, and the displacement efficiency is relative good www.nature.com/scientificreports/ water injection, the properties of water injection, the volume of water injection and the pattern of well pattern, etc. Taking Chang 4 + 5 2 1 and Chang 4 + 5 2 2 in Luo 21 area of Jiyuan Oilfield as examples, the water-flooding law of low permeability reservoir is summarized by comprehensively considering reservoir internal factors and water injection factors.
1. Through the combination of reservoir static parameters and development dynamic parameters, the relationship between reservoir physical parameters and water cut increment is drawn respectively (Fig. 20). It can be seen that when the intra-layer range is greater than 4.65, the breakthrough coefficient is greater than 3.54, the coefficient of variation is greater than 0.7, the distribution frequency of inter-layer is greater than 0.5 per meter, and the distribution density is greater than 0.435%, the range between layers is greater than 6.86, the breakthrough coefficient is greater than 2.58, the coefficient of variation is greater than 0.51, and the thickness of inter-layer is greater than 7.54 m, the increment of reservoir water cut increases, which leads to the weakening of oil displacement efficiency. 2. Under the same conditions of water injection, the internal factors of the reservoir have a great influence on the watered-out reservoir. When the heterogeneity of the reservoir is strong, the injected water is easy to percolate along the high permeability channel with less resistance, resulting in finger shape and peak shape in the water injection profile, that is, the reservoir in the high permeability zone has a high degree of waterflooding (see Supplementary Information 1). 3. Under the same condition of internal factors in the reservoir, the water out rate is proportional to the intensity of water injection and inversely proportional to the viscosity of injected water (Fig. 21), that is, the injection condition is the main factor affecting water-flooding. 4. In order to improve the development efficiency of the reservoir, according to the characteristics of waterflooding, combined with mercury injection displacement parameters and microscopic pore structure parameters, the reservoir is divided into three types. The classification of reservoir types is shown in Table 9. It can be seen that the microscopic pore structure parameters of different reservoir types are quite different, and the watered-out law also shows different characteristics. Under the condition of strong water-flooding, type I reservoir is generally moderately watered out and type II reservoir is generally weakly watered out. Type III reservoir is usually the main area where remaining oil is enriched during development.

Conclusion
1. The lithology of Chang 4 + 5 reservoir in Jiyuan Oilfield is mainly gray fine-grained debris-feldspar sandstone, containing a small amount of feldspathic sandstone and feldspathic lithic sandstone. The pore types are mainly intergranular pore (1.9%) and feldspar dissolution pore (1.0%), and the cementation type is mainly enlarged-pore type. The cementation type is mainly pore-cementation, and the support type is mainly grainsupported. The capillary pressure curve is mainly low displacement pressure-thin throat type. The common sedimentary structures in the study area mainly include deformation structure, bedding plane structure, bedding structure and biogenic structure 2. The oil displacement efficiency of Chang 4 + 5 reservoir in Jiyuan oilfield is medium. In the process of water-flooding, the microscopic seepage paths of chang 4 + 5 reservoir include uniform displacement, finger displacement and peak displacement, and their correspondent oil displacement efficiency reduces in turn under the same conditions. The characteristics of plane water-flooding in the study area are complex, and the sweep efficiency of water flooding is low. The plane effect is mainly the increase of type I effect and the stability of type II effect, and the local high permeability has type III effect. The water cut in the plane is mainly convex type and S type, and the water cut in the oil field is in the middle level. www.nature.com/scientificreports/ 3. Pore throat structure is a key parameter affecting water-flooding seepage law and oil displacement efficiency, and the efficiency of water-flooding is affected by the distribution form and size of throat. The distribution of reservoir physical properties, reservoir heterogeneity and pore structure are all controlled by diagenesis, Figure 20. The relationship between the effective reservoir parameters and Water-cut increment. www.nature.com/scientificreports/ and their effects on water-flooding efficiency are consistent. Rock wettability directly affects the displacement path and seepage law of injected water, thus affecting the oil displacement efficiency. 4. Under the same conditions of water injection, when the heterogeneity of the reservoir is stronger, the degree of water-flooding is higher. Under the same internal factors of the reservoir, the water-flooding rate is proportional to the intensity of water injection and inversely proportional to the viscosity of injected water. The oil recovery data and the pore structure parameters should be emphasized in the process of Chang 4 + 5 reservoir exploitation in Jiyuan Oilfield, and priority should be given to reservoir with high permeability in designing reasonable exploitation techniques and procedures.
Received: 2 November 2020; Accepted: 14 January 2021 Figure 21. The relationship between the injection condition and water-flooding.