Introduction

Almost all oil and gas produced today comes from accumulations in the pore spaces of reservoir rocks like sandstone, limestone or dolomites. The amount of oil or gas contained in a unit volume of such a reservoir is the product of its porosity and the hydrocarbon saturation. To quantify the hydrocarbon in place of a reservoir, knowledge of the character and extent of such a reservoir is needed. Information required for volume analysis are the thickness, pore space, and areal extent of the reservoir (Ihianle et al. 2013). Other input parameters are shale volume, saturation, net to gross, and shale volume values (Edward and Santogrossi 1990). In the majority of reservoir development projects, the description of the reservoir is achieved through integrating well information and seismic data. The available well information provides calibration points and the lateral variations in the seismic attributes which provide details, on the distribution of the reservoir properties away from well control.

This study is based on the use of wireline logs data and 3-D seismic data to analyze and estimate prospective reservoir volume of sand bodies in an oil field in the Niger Delta region of Nigeria. The objective is to determine the reservoir rock attributes and to use such valuable information to compute the reservoir volume of the study area. The reservoir geophysical parameters (porosity and hydrocarbon saturation) were computed for hydrocarbon pore volume (HCPV) determination; hence the existence of economically producible hydrocarbon reservoirs was established.

Geologic setting of the study area

The precise location of the study area was not disclosed in line with current practices by petroleum industries in Nigeria. However, the study area is located within the oil rich province of the Niger Delta (Fig. 1). The delta is a sedimentary structure formed as a complex regressive offlap of clastic sediments ranging in thickness from 9,000 to 12,000 m (Etu-Efeotor 1997). Only one petroleum system called the Tertiary Niger (Akata-Agbada) Petroleum System has been identified (Kulke 1995). The geology, stratigraphy, and structure of the Niger delta basin have been extensively discussed by several authors (Short and Stauble 1967; Merki 1970; Weber and Daukoru 1975; Avbovbo 1978; Evamy et al. 1978; Whiteman 1982; Owoyemi and Wills 2006; Bilotti and Shaw 2005). The Niger Delta basin is situated on the continental margin of the Gulf of Guinea between latitude 3° and 6°N and longitude 5° and 8°E. The areal extent of the Delta is about 75,000 km2 with a clastic fill of about 12,000 m. The Niger Delta province is ranked the twelfth richest petroleum resources with 2.2 % of the world’s discovered oil and 1.4 % of world’s discovered gas by the US Geological Survey’s World Energy Assessment (Klett et al. 1997).

Fig. 1
figure 1

Map of Nigeria, showing the study area (®2001 Microsoft Corp)

The Niger Delta consists of three broad formations, the Benin, Agbada, and Akata Formations (Short and Stauble 1967). The Benin Formation is the shallowest of the sequence and consists predominantly of fresh water-bearing continental sands and gravels. The Agbada Formation underlies the Benin Formation and consists primarily of sand and shale, and is of fluviomarine origin. It is the main hydrocarbon-bearing window. The formation is about 3,700 m thick and consists of Paralic Siliclastics; it forms a good representation of the actual deltaic sequence. This is the seat of most oil reservoirs and center of over pressures. The Akata Formation is composed of shales, clays, and silts and lies at the base of the Niger Delta Sequence. It is of marine origin. They contain a few streaks of sand, possibly of turbiditic origin. The thickness of this sequence is not known for certain, but may reach 7,000 m in the central part of the delta (Short and Stauble 1967).

Methodology

Several steps of analysis were adopted to evaluate the sand bodies of the area under investigation. Multiple 3-D post-seismic and digital well log data in LAS format were provided for three wells from an x-oil field offshore Niger Delta. The data used in this work are well log data and multiple 3-D post-stack seismic data from an offshore area in Niger Delta oil field. The data consist of suites of well logs from wells A, B, C, a base map (Fig. 2) and a 3-D seismic data. The wire line log data comprises of sonic log, density, self potential (SP), resistivity log, caliper log, porosity log, shale volumetric log, and gamma ray log (Table 1). The zone of interest is typically a sand/shale/sand sequence.

Fig. 2
figure 2

Base map of the study area

Table 1 Table showing available log suite for each well

HAMPSON RUSSEL software was used for data analysis. The program has the capacity of integrating geology with Well and seismic data. The composite geophysical well logs, seismic sections, and check shot data were imported into the interactive HAMPSON RUSSELL workstation. The relevant wireline log signatures were employed to identify hydrocarbon-bearing reservoirs and the work flow adopted is according to the chart in Fig. 3.

Fig. 3
figure 3

Flow chart illustrating the methodology

Volume estimation

In calculating the volume of hydrocarbon in place, the gross rock volume, net-to-gross (n/G) ratio, porosity, and the hydrocarbon saturation of each zones were considered. The volume of hydrocarbon in place (hydrocarbon pore volume, HCPV) was calculated from Eq. 1 as used by Aly (1989):

$${\text{HCPV}} = V\varPhi N/G(1 - S_{\text{W}} )$$
(1)

Where V = Volume of hydrocarbon; which equals the product of reservoir area extent (A) and its thickness (h), Φ = Porosity, S W = water saturation, N/G = ratio of net-to-gross thickness of the reservoir as obtained from the gamma ray logs or the sand volume within the two geological Horizons or markers.

However N/G has been assumed to be 95 % due to the almost complete sand volume in the reservoir HD2000. Table 2 shows the model equations employed in computing other volumetric parameters.

Table 2 Quick view of volumetric equations used in calculations

Analysis of results

Well log interpretation

Preliminary study on the well logs revealed one hydrocarbon-bearing reservoir HD 2000 with top HD2_V2 and base HD2 within depth interval of 5,280–8,250 ft for Well A, 5,000–7,500 ft for Well B, and 4,000–8500 ft for Well C. The wells exhibit a dominantly shale/sand/shale sequence, typical of the Niger Delta formation. The wells were analyzed in terms of fluid type and lithology. Shale lithology was delineated by the high gamma ray value. Regions of low gamma ray, high resistivity and low water saturation are mapped as sand lithology, which are also regions of high hydrocarbon saturation. The reservoir mapped areas of very low GR, high porosity, and low water saturation (Figs. 4, 5, 6).

Fig. 4
figure 4

Well A showing various log signatures and delineated HD2000 reservoir in black strip

Fig. 5
figure 5

Well B showing various log signatures and delineated HD2000 reservoir in black strip

Fig. 6
figure 6

Well C showing various log signatures and delineated reservoir in black strip

Acoustic impedance volume

The acoustic impedance volume shown in Fig. 7 is a cross section of the base seismic data with inserted inline number 5506. A reduction in the impedance is as a result of production effect in the reservoir. Low water saturation section can be seen within the reservoir; which is indicative of a hydrocarbon charge zone.

Fig. 7
figure 7

Cross section of acoustic impedance of a seismic base with sphere showing the reservoir

The well locations exhibits relatively low acoustic impedance values within the square grid (Fig. 8). These low values of acoustic impedance are associated with hydrocarbon saturated sands; areas of high acoustic impedance are observed as a result of probable depleted zones (Fig. 9). As seen in Fig. 7, sandstone reservoir shows low velocity and low impedance. Checkshot from the control well was used to associate travel time (a measure of velocity) with each of a number of depths in the wells. Horizons HD2 and HD_version2 were tracked on these reflections, on both inlines and crosslines across the field to produce the time structure (isochron) maps. This then was used to produce and understand the velocity relationship between depths and two-way acoustic travel times (isopach map).

Fig. 8
figure 8

Inverted acoustic impedance volume for slice HD2000 with a square grid template mapped on the wells

Fig. 9
figure 9

Volume display showing areas of low acoustic impedance signifying sand body about that depth

The depth structure map generated revealed that for reservoir HD2000, the depth from the top (HD2_version2) to the bottom (HD2) is estimated 400 ft (121.92 m).

Rock attribute slice

The rock attribute slices were subsequently extracted from the impedance volume. Changes in the rock attributes were evaluated for probable hydrocarbon prospects. It was observed that the computed porosity estimate in reservoir HD2000 varied from 0.31 to 0.32 (Fig. 10). Also, the hydrocarbon saturation estimated in reservoir HD2000 varied from 0.64 to 0.65 (Fig. 11).

Fig. 10
figure 10

a Computed porosity (amplitude at HD2). b Computed porosity (amplitude at HD2_version2)

Fig. 11
figure 11

a Computed water saturation (amplitude at HD2_version2). b Computed water saturation (amplitude at HD2)

Volumetric

The total area of a reservoir and its thickness are of considerable importance in determining if a reservoir is a commercial one or not. The more the area and thickness of a reservoir the greater its potential for oil and gas accumulations. However, there are reservoirs that produce substantial amounts of hydrocarbons that are not of considerable size. The surface area extent covered by the reservoir was estimated using the grid template method. Since the bright and dim spots are indicators of hydrocarbon presence, the lateral boundaries of these reservoirs were mapped from the amplitudes. The reflection amplitude maps were generated from horizons HD2 and HD2_version2 (Fig. 8) and the zone of anomalous high amplitude were used to map the boundaries of the reservoir (they matched bright spots on seismic sections). The reservoir area extent estimation from the square grid method revealed that reservoir HD2000 covered an area of 5.29 km2. The detailed analysis is shown in Table 3.

Table 3 Results of Oil Volume Estimates for delineated Reservoir HD2000

Structural interpretation

A comprehensive geologic study of the prospect is necessary to increase the confidence and reliability of determined reservoir properties such as volume, porosity, and fluid saturations. Horizon and fault interpretations were carried out for subsurface structural interpretation. In all, a formation with marker HD2000 and three visible faults—F1, F2 and F3—were mapped on seismic sections over the entire field (Fig. 12). Growth faulting dominates the structural styles which are interpreted to be triggered by slope instability. These faults form a back to back fault system that was interpreted to be walls or ridges of mobile shale piercing upward from beneath the depobelt. It displays no growth and it is a compensating fault for overburden extension. Regular spacing and simplicity of the structures is in line with the structural styles that characterize the depobelt of the Niger Delta rich hydrocarbon province (Rotimi et al. 2004). The productivity of a reservoir is determined through the identification of valid structural traps within which there exists a viable reservoir.

Fig. 12
figure 12

Typical seismic session showing horizon and faults across inline

The fault interpretation revealed several faults (F1, F2 and F3) which were mapped on the seismic sections and 3-D view representation of the reservoir, that corresponds to the growth and antithetic faults that exist on seismic section in Fig. 12. The possible petroleum trapping systems are the large roll over anticlines on the hanging wall of the thrusts which appears as dip-closed structures. Some of the closures have a dependency on fault components. In developing the structural pattern, 3-D imaging allows clear information upon which to base the faulting system (Fig. 13).

Fig. 13
figure 13

3-D volume display of the reservoir area

The principal structure responsible for hydrocarbon entrapment in the field is a structural high located at the center of the field which probably corresponded to the crest of the roll over structure observed on the seismic sections. This was observed as fault assisted closures on the time structure map of the horizon. Structural highs are observed in the northeast and in the center of the field while structural lows are observed in the southwest. Faults F1, F2, and F3 act as good traps for the hydrocarbon accumulations in the reservoir at the center of the field. Also the fault on the inline corresponds to lines on the time (or depth) slice.

Discussion

The results of the study has shown the effectiveness of the estimation techniques in the lateral prediction of reservoir properties, discriminating litho-fluid and determining the porosity, saturation, net-to-gross ratio, and moreover the reserve volume. Well-to-seismic tie revealed that hydrocarbon-bearing reservoirs were associated with direct hydrocarbon indicators (bright spots and dim spots) on the seismic sections. Several faults were mapped out from the two studied horizons. This was used in generating the time structure maps. From the maps, it was observed that the principal structure responsible for hydrocarbon entrapment in the field was the anticlinal structure at the center of the field which tied to the crest of the rollover structure seen on the seismic sections. Check shots from the control well were used to create a velocity model from which the time to depth conversion was made. Horizon slice taken shows that the reservoir spans a thickness of 400 ft.

Direct hydrocarbon indicators were used to map the reservoir boundary. They were seen on the reflection amplitude maps as high amplitude zones (bright spots) and low amplitude zones (dim spots). Reservoir area extent estimated from square grid template method revealed that reservoir HD2000 had an area estimate of 5.29 km2. Hydrocarbon saturation varied between 0.64 and 0.65, while effective porosity varied between 0.31 and 0.32. These computed porosity values are consistent with what some authors have reported for the Niger Delta (Aigbedion et al. 2011; Edwards and Santogrossi 1990; Olowokere and Ojo 2011).

Conclusion

Reservoir characterization in the Niger Delta has led to a better understanding of subsurface structures which in turn has immensely helped delineate reservoirs, predict reservoir properties, and minimize cost.

The integration of well and seismic data has provided insight to reservoir hydrocarbon volume which may be utilized in exploration evaluations and in well bore planning. The application of seismic inversion technology has resulted to better reservoir definition, improved resource estimates, and better reservoir management. Estimation of the volume of hydrocarbon in place revealed that the reservoir contained an estimate of 776545418.22 barrels of hydrocarbon.