3.1. Water Consumption Reduction Through Greywater Recycling
Simulation results indicate that the proposed greywater reuse configuration could recover approximately 50% of shower drainage and 10–20% of pool backwash water, supplemented by condensate capture from ventilation systems. Modeled application of these measures at the Arasan Bath Complex yields the following projected outcomes:
Total water savings: 30% of the annual water consumption (~30,000 m³/year).
Reduction in wastewater discharge: A proportional 30% decrease in wastewater output, easing the load on municipal treatment facilities.
Based on local utility tariffs, the projected annual operational cost reduction—including both water purchase and wastewater treatment savings—is estimated at
$12,700 USD, as detailed in the economic analysis (
Section 3.3).
To evaluate daily dynamics of consumption and potential offsets under the proposed system, a simplified differential equation was applied to simulate flow rates and volume reduction, a differential model is applied:
where V is the total water volume (m³); Rdemand(t) is the instantaneous water demand (m³/h); Rrecycle(t) is the instantaneous recycled water volume (m³/h). These estimates were derived under conservative assumptions regarding daily demand variation and constant recycling flow rates. Actual performance would be contingent upon system calibration and operational hours.
Example Calculation.
Assuming average operational hours from 8:00 to 22:00 (14 hours per day), and that the instantaneous water demand follows a sinusoidal pattern with an average of 15 m³/h, while the greywater system supplies a constant 5 m³/h during this period, the net daily intake from municipal sources is estimated as::
This yields a daily greywater offset of 70 m³, or a 30% reduction relative to total demand—consistent with the annualized figure of ~30,000 m³/year referenced earlier.
Figure 1 illustrates the daily water consumption profile at Arasan Bath complex, comparing scenarios with and without the greywater recycling system. The sinusoidal trend represents fluctuations in water demand throughout the day, with peak consumption during operational hours. The implementation of a 30% greywater reuse system effectively smooths out demand, reducing municipal water intake and easing pressure on the local water supply.
The water savings achieved are comparable to previous studies on urban greywater reuse, such as the findings in the study [
8], where a 20-40% water reduction was reported for multi-residential buildings using similar filtration technologies. The results validate the feasibility of greywater reuse in historical bathhouses while ensuring compliance with architectural constraints.
To contextualize these results,
Table 4 compares water savings from greywater reuse across various building types, including hotels, industrial facilities, and the Arasan Bath Complex [
13]. These values highlight the relatively high recovery potential in public bathhouses due to constant and predictable greywater flows.
3.2. Efficiency of Water Treatment Technologies
Various greywater treatment systems have been implemented in public bathhouses to improve water reuse efficiency. One such approach is the stacked multi-layer reactor system studied by [
21], which utilizes passive aeration and gravity-driven flow to enhance organic degradation and particle trapping. Their study demonstrated that this system can achieve up to 95% turbidity reduction and 94% suspended solids removal.
However, while this technology is space-efficient and energy-saving, its effectiveness depends on the biofilm development rate and sediment accumulation, which may require longer operational periods. In contrast, the geothermal heat pump system implemented at Arasan Wellness & SPA offers a more stable and controlled approach to water reuse, ensuring consistent treatment efficiency without dependency on passive aeration.
A triple-stage treatment process—comprising ultrafiltration, activated carbon, and ozone—was selected and modeled for compliance with microbial safety and non-potable reuse standards applicable in heritage environments. Laboratory-scale performance data from comparable facilities were used as proxies for modeling removal efficiencies, as field validation is pending implementation. The effectiveness of these technologies is summarized in
Table 3.
This multi-step treatment process ensures that treated greywater meets non-potable water safety standards, making it suitable for applications such as toilet flushing, cleaning, and irrigation. The combination of UF + Activated Carbon + Ozone aligns with recommendations from the paper [
11], who reported similar purification success in indoor swimming pool water recycling.
3.3. Economic Feasibility and Payback Period
A forward-looking financial model was developed to evaluate the economic feasibility of the proposed greywater system, assuming baseline investment and utility cost scenarios for Almaty.
To determine the actual financial viability, the Net Present Value (NPV) model was applied, incorporating a 5% discount rate:
where St – annual savings (
$12,700
$ USD); Ct – operational expenses (
$1,100
$ USD); r – discount rate (5%); t - the system lifespan (25 years); I – initial investment (
$56,782.7
$ USD).
The projected payback period—under nominal conditions—was found to be approximately 4.9 years (simple) and 6 years (discounted at 5%), based on current tariff structures. These results affirm the long-term economic viability of the greywater recycling system, demonstrating strong cost-effectiveness over a 25-year operational horizon.
The core financial indicators for the implemented greywater reuse system are presented in
Table 5.
Figure 2 illustrates the Net Present Value (NPV) progression over a 25-year lifespan, with a discount rate of 5% applied to future savings. The NPV curve crosses the breakeven point in Year 6, confirming a realistic payback period of 6 years when considering real financial conditions. Without discounting, the simple payback period is 4.9 years, making the system a highly profitable investment
The calculated payback period of approximately 4.9 years (simple) and 6 years (discounted) falls within the upper range of typical payback periods reported in previous studies on greywater reuse in commercial and hospitality sectors, which generally range from 3 to 5 years. The variation in financial return on investment is influenced by factors such as regional water tariffs, system design capacity, and economic conditions. Studies [
12] confirm comparable economic feasibility in greywater recovery systems implemented in swimming pool facilities, where well-optimized reuse processes have been shown to yield significant operational savings.
The overall economic viability of greywater treatment systems in public infrastructure is closely tied to both installation and recurring maintenance costs. A study by [
22] highlights that systems designed for treating light greywater are considerably more cost-efficient than those targeting mixed or heavily polluted wastewater. However, the same study emphasizes that without supportive policy mechanisms or financial incentives, operational expenses may continue to represent a substantial barrier to broader adoption.
3.4. Integration of Water-Saving Fixtures
In parallel with greywater recovery, the study models the financial and technical impact of retrofitting standard fixtures with high-efficiency alternatives. The paper [
23] analyzed water use patterns in showers and found that the average shower consumes between 65 and 80 liters per use, depending on duration and flow rate. Given that bathhouses accommodate multiple users daily, optimizing shower water use through low-flow fixtures or greywater recycling could contribute significantly to overall water conservation.
In addition to the greywater recycling system, low-cost water-saving fixtures were installed to further optimize water consumption. These included sensor faucets, aerators, low-flow showerheads, and automatic toilet flush systems.
These retrofits led to a 15% reduction in water use, as detailed in
Table 6.
Total investment: $23,281
Total savings per year: $7,322
Combined payback period: ~3.2 years
These results are in line with global benchmarks for water efficiency in public facilities, further reinforcing the viability of such upgrades in heritage bath complexes.
3.5. Energy Optimization via Heat Recovery
The energy demand in historical bathhouses is primarily linked to heating, ventilation, and water circulation. The study [
24] conducted an energy efficiency in swimming facilities, identifying heat pumps and heat exchangers as critical technologies for reducing overall energy consumption.
Various water reuse and energy recovery strategies have been analyzed to enhance the sustainability of historical bathhouses. One innovative approach discussed in recent research is the use of kinetic energy from descending greywater to generate electricity [
25]. While this method has potential applications in high-rise buildings and facilities with large-scale gravity-driven drainage systems, the implementation of geothermal heat pumps at Arasan Wellness & SPA was chosen as a more effective and site-appropriate solution for energy recovery.
In recent years, new methods of wastewater heat recovery have been developed. A review [
26] presents various recovery technologies, including graywater heat recovery systems using heat pumps, which can improve the energy efficiency of public baths by 25-35%. Current trends aim to reduce the energy consumption of bathing facilities. A study [
27] describes the concept of “zero energy consumption” (ZEB), which can be adapted for spas by integrating heat pumps. These findings align with the implementation of geothermal heat pump systems in Arasan Wellness & SPA, reinforcing their effectiveness in bathhouse sustainability.
The proposed heat recovery component incorporates plate heat exchangers and geothermal heat pumps, modeled as a hybrid system to partially offset thermal demand under heritage-preserving constraints. The SILA GM-100 S geothermal heat pump was selected for implementation due to its high efficiency and compatibility with heritage building constraints.
A full replacement of centralized heating with a geothermal heat pump system is currently infeasible due to architectural constraints, limited installation space, capital expenditure, and heritage preservation regulations. Therefore, a partial-load scenario was modeled as the most viable configuration, wherein two SILA GM-100 S units cover approximately 29% of the annual thermal demand (1,000 MWh out of 3,488 MWh). A complete transition would require up to seven such units, which exceeds the available spatial and regulatory allowances.
To address these limitations, a combined heating strategy was adopted. Two geothermal heat pumps were installed to cover approximately 29% of the thermal demand (1,000 MWh/year), with the remaining 71% (2,488 MWh/year) supplied by centralized heating. This hybrid approach offers a realistic balance between energy efficiency and architectural compliance, significantly reducing fossil fuel dependence while minimizing disruption to the heritage fabric (
Table 7).
The heat transfer efficiency is determined by Fourier’s law:
where Q – total recovered heat energy (W); U=800 W/m²·K (heat transfer coefficient); A – heat exchanger area (m²); ΔTavg=20 K (temperature difference).
For Arasan Bath Complex, with an estimated annual heat recovery potential of 680,748 kWh, the required heat exchanger area was calculated using an average temperature difference (ΔTavg) of 20 K. This value reflects the observed difference between incoming greywater temperature (~34 °C) and mains water supply (~14 °C), based on in-situ measurements and system logs:
A plate heat exchanger with an area of 42.55 m² and a heat transfer coefficient of 800 W/m²·K was identified as optimal for the Arasan Bath complex. This configuration enables effective greywater heat recovery while respecting the spatial and regulatory constraints of the heritage building.
Figure 3 demonstrates the effect of varying heat transfer coefficients (
U) on heat exchanger performance. The results confirm that an increase in heat transfer coefficient leads to higher heat flux, improving energy recovery efficiency.
The financial and energy benefits of this system are presented in
Table 8.
The geothermal system contributes to a 29% offset of annual heating demand, resulting in measurable cost savings. This outcome aligns with [
10], where a 40–60% reduction in heating costs was reported in systems with full-scale heat recovery integration.
Modern SPAs use various methods to recover heat from wastewater, but their efficiency varies widely. A study [
28] showed that heat exchangers installed in the wastewater system of a spa can recover up to 40% of wastewater heat energy, which reduces energy consumption for water heating.
Furthermore, international studies confirm the importance of heat recovery in bath complexes. Increasing pool water temperature by just 2 °C has been shown to raise total energy consumption by approximately 6–8%, underscoring the need for precise thermal control and effective heat recovery. This relationship has been confirmed across multiple studies in public aquatic facilities [
7,
20].
At Arasan Bath Complex, heating accounts for 52% of the total energy budget (5,196 Gcal annually). The integration of greywater heat exchangers and two geothermal heat pumps is projected to offset approximately 29% of this demand. While centralized heating remains essential, the hybrid system substantially reduces fuel consumption and aligns with international energy efficiency benchmarks for SPA facilities [
20].
All results presented in this section are based on computational modeling and parametric sensitivity analysis. Full-scale system deployment remains pending, subject to heritage authority approvals and funding